3 Capacity Planning

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  • CAPACITY PLANNING

  • CAPACITY PLANNING

  • Introduction

    Capacity can be defined as the maximum

    output rate that can be achieved by a facility.

    The facility may be an

    entire organization,

    a division, or

    only one machine.

  • Introduction

    Planning for capacity in a company is usually performed at two levels, each corresponding to either

    strategic or

    tactical decisions.

    The first level of capacity decisions is strategic and long-term in nature.

    This is where a company decides what investments in new facilities and equipment it should make.

  • Introduction

    Because these decisions are strategic in nature, the company will have to live with them for a long time.

    Also, they require large capital expenditures and will have a great impact on the companys ability to conduct business.

    The second level of capacity decisions is more tactical in nature, focusing on short-term issues that include planning of workforce, inventories, and day-to-day use of machines.

  • Importance of Capacity Planning

  • Importance of Capacity Planning

    Capacity planning is the process of establishing

    the output rate that can be achieved by a

    facility.

    If a company does not plan its capacity correctly, it may find that it either does not have enough

    output capability to meet customer demands or has too much capacity sitting idle.

    In a bakery for example, not having enough capacity would mean not being able to produce

    enough baked goods to meet sales.

  • Importance of Capacity Planning

    The bakery would often run out of stock, and customers might start going somewhere else.

    Also, the bakery would not be able to take advantage of the true demand available.

    On the other hand, if there is too much capacity, the bakery would incur the cost of an unnecessarily large facility that is not being

    used, as well as much higher operating costs than necessary.

  • Importance of Capacity Planning

    Planning for capacity is important if a company wants to grow and take full

    advantage of demand.

    At the same time, capacity decisions are

    complicated because they require long-term commitments of expensive resources, such

    as large facilities.

    Once these commitments have been made, it is

    costly to change them.

  • Importance of Capacity Planning

    Think about a business that purchases a larger facility in anticipation of an increase in demand,

    only to find that the demand increase does

    not occur.

    It is then left with a huge expense, no return on its investment, and the need to

    decide how to use a partially empty

    facility.

  • Importance of Capacity Planning

    Another issue that complicates capacity planning is the fact that capacity is usually

    purchased in chunks rather than in smooth increments.

    Facilities, such as buildings and equipment, are

    acquired in large sizes, and it is virtually

    impossible to achieve an exact match between current needs and needs based on

    future demand.

  • Importance of Capacity Planning

    Because of the uncertainty of future demand, the overriding capacity planning

    decision becomes one of whether to

    purchase a larger facility in anticipation of

    greater demand or to expand in slightly

    smaller but less efficient increments.

    Each strategy has its advantages and disadvantages.

  • When To & How Much

    When to increase capacity and how much to increase it are critical decisions.

    Three basic strategies for the timing of capacity expansion are:

    1. Capacity lead strategy .

    2. Capacity lag strategy.

    3. Average capacity strategy

    (Smoothing with inventories)

  • Leading & Lagging Strategies

  • Average Capacity Strategy

  • 1. Capacity Lead Strategy

    Capacity is expanded in such a way that there is

    always sufficient capacity to meet forecast demand.

    Capacity is expanded in anticipation of demand growth.

    This aggressive strategy is used to lure customers from competitors who are capacity

    constrained or to gain a foothold in a rapidly

    expanding market.

  • 1. Capacity Lead Strategy

    It also allows companies to respond to unexpected surges in demand and to provide

    superior levels of service during peak demand periods.

  • 2. Capacity Lag Strategy

    Capacity is expanded in such a way that the demand is always equal to or greater than capacity.

    Capacity is increased after an increase in demand has been documented.

    This conservative strategy produces a higher return on investment but may lose customers in the process.

    It is used in industries with standard products and cost-based or weak competition.

  • 2. Capacity Lag Strategy

    The strategy assumes that lost customers will return from competitors after capacity has

    expanded.

  • 3. Average Capacity Strategy

    Capacity is increased in such a way that the

    current capacity plus accumulated inventory can always supply demand.

    Capacity is expanded to coincide with average expected demand.

    This is a moderate strategy in which managers are certain they will be able to sell at

    least some portion of expanded output, and

    endure some periods of unmet demand.

  • 3. Average Capacity Strategy

    Approximately half of the time capacity leads

    demand, and half of the time capacity lags demand.

  • Advantages/Disadvantages

    Advantages Disadvantages

    Capacity-leading Strategy

    1. Always sufficient capacity to meet demand, therefore revenue is maximised and customers satisfied.

    2. Most of the time there is a capacity cushion which can absorb extra demand if forecasts are pessimistic.

    3. Any critical start-up problems with new plants are less likely to affect supply to customers.

    1. Risks of greater (or even permanent) over-capacity if demand does not reach forecast levels.

    2. Capital spending on plant early.

  • Advantages/Disadvantages

    Advantages Disadvantages

    Capacity-lagging

    Strategy

    1. Always sufficient demand to keep the plants working at full capacity, therefore, unit costs are minimised.

    2. Over-capacity problems are minimised if forecasts are optimistic.

    3. Capital spending on the plants is delayed.

    1. Insufficient capacity to meet demand fully, therefore, reduced revenue and dissatisfied customers.

    2. No ability to exploit short-term increases in demand.

    3. Under-supply position even worse if there are start-up problems with the new plants.

  • Advantages/Disadvantages

    Advantages Disadvantages

    Smoothing-with-

    inventories Strategy

    1. All demand is satisfied, therefore, customers are satisfied and revenue maximised.

    2. Utilisation of capacity is high and therefore costs are low.

    3. Very short-term surges in demand can be met from inventories.

    1. The cost of inventories in terms of working capital requirement can be high.

    2. This is especially serious at a time when the company requires funds for its capital expansion.

    3. Risks of product deterioration and obsolescence.

  • Measuring Capacity

  • Measuring Capacity

    Although our definition of capacity seems

    simple, there is no one way to measure it.

    Different people have different

    interpretations of what capacity means, and the units of measurement are often very

    different.

    Table shows some examples of how capacity might be measured by different organizations.

  • Measuring Capacity

    Type Of Business Input Measures Of Capacity

    Output Measures Of Capacity

    Car Manufacturer Labour hours Cars per shift

    Hospital Available beds per month

    Number of patients

    Pizza shop Worker hours per day No of pizzas per day

    Retail store Floor space in sq feet Revenues per day

    Electricity company Generator size Megawatts of electricity generated

  • Measuring Capacity

    Note that each business can measure capacity

    in different ways and that capacity can be measured using either inputs or outputs.

    Output measures, such as the number of cars

    per shift, are easier to understand.

    However, they do not work well when a company produces many different kinds of

    products.

  • Measuring Capacity

    For example, if a television factory produces only one basic model, the weekly capacity could

    be described as 2000 televisions.

    A government office may have the capacity to print and post 500,000 tax forms per week.

    In each case, an output capacity measure is the most appropriate measure because the output

    from the operation does not vary in its nature.

  • Measuring Capacity

    But when a much wider range of outputs places varying demands on the process, output

    measures of capacity are less useful.

    Here input capacity measures are frequently used to define capacity.

    For example, the hospital measures its capacity

    in terms of its input resources (say beds), because there is not a clear relationship

    between the number of beds it has and the

    number of patients it treats.

  • Measuring Available Capacity

  • Measuring Available Capacity

    Suppose that on the average we can make 20 cakes per day.

    However, if we are really pushed, such as during holidays, maybe we can make 30 cakes per day.

    Which of these is our true capacity?

    We can make 30 cakes per day at a maximum, but we cannot keep up that pace for long.

    Saying that 30 per day is our capacity would be misleading.

  • Measuring Available Capacity

    On the other hand, saying that 20 cakes per day is our capacity does not reflect the fact that

    we can, if necessary, push our production to 30

    cakes.

    Through this example you can see that

    different measures of capacity are useful because they provide different kinds of

    information.

  • Measuring Available Capacity

    Following are two of the most common measures of capacity:-

    1. Design capacity

    2. Effective capacity

  • 1. Design capacity

    Design capacity is the maximum output rate that can be achieved by a facility under ideal conditions.

    In our example, this is 30 cakes/day. Design capacity can be sustained only for a

    relatively short period of time. A company achieves this output rate by using

    many temporary measures, such as overtime, over-staffing, maximum use of equipment, and subcontracting.

  • 2. Effective capacity

    Effective capacity is the maximum output rate that can be sustained under normal conditions.

    These conditions include realistic work schedules and breaks, regular staff levels, scheduled machine maintenance, and none of the temporary measures that are used to achieve design capacity.

    Effective capacity is usually lower than design capacity.

    In our example, effective capacity is 20 cakes/day.

  • Measuring Effectiveness of

    Capacity Use

    Regardless of how much capacity we have, we

    also need to measure how well we are utilizing it.

    Capacity utilization simply tells us how much of

    our capacity we are actually using.

    Certainly there would be a big difference if we

    were using 50%of our capacity, meaning our facilities, space, labour, and equipment, rather

    than 90%.

  • Capacity Considerations

    Capacity utilization can simply be computed as the ratio of actual output over capacity:

    Utilization = actual output rate

    capacity

  • Capacity Considerations

    However, since we have two capacity measures, we can measure utilization relative to either

    design or effective capacity

    Utilizationeffective =

    Utilizationdesign =

    actual output

    effective capacity

    actual output

    design capacity

  • Example

    In the bakery example, we have established that design capacity is 30 cakes per day and

    effective capacity is 20 cakes per day. Currently,

    the bakery is producing 27 cakes per day. What

    is the bakerys capacity utilization relative to both design and effective capacity?

  • Expanding Capacity

    When expanding capacity, management has to choose between one of the following two

    alternatives:

    1. Purchase one large facility, requiring

    one large initial investment.

    2. Add capacity incrementally in smaller

    chunks as needed.

  • Expanding Capacity

    One Step Expansion

    Incremental Expansion

    Time

    Units

  • Expanding Capacity

    The first alternative means that we would

    have a large amount of excess

    capacity in the beginning and that our initial costs would be high.

    We would also run the risk that demand might

    not materialize and we would be left with

    unused overcapacity.

    On the other hand, this alternative allows us to be prepared for higher demand in the future.

  • Expanding Capacity

    Our best operating level is much higher with this alternative, enabling us to operate

    more efficiently when meeting higher demand.

    Our costs would be lower in the long run, since one large construction project typically costs less than many smaller construction projects due to startup costs.

    Thus, alternative 1 provides greater rewards but is more risky.

  • Expanding Capacity

    Alternative 2 is less risky but does not offer the same opportunities and flexibility.

    It is up to management to weigh the risks

    versus the rewards in selecting an alternative.

  • Capacity Considerations

    We have seen that changing capacity is not as simple as acquiring the right amount of

    capacity to exactly match our needs.

    The reason is that capacity is purchased in discrete chunks.

    Also, capacity decisions are long term and strategic in nature.

  • Capacity Considerations

    Some of the important implications of capacity that a company needs to consider when

    changing its capacity are:

    1. Economies of Scale

    2. Diseconomies of Scale

    3. Focused Factories

    4. Subcontractor Networks

  • 1. Economies of Scale

    Every production facility has a volume of output

    that results in the lowest average unit cost.

    This is called the facilitys best operating

    level .

    Figure illustrates how the average unit cost of output is affected by the volume produced.

    You can see that as the number of units

    produced is increased, the average cost per

    unit drops.

  • 1. Economies of Scale

    Output Produced in Units

    Ave

    rage

    Un

    it C

    ost

    Economies of Scale Diseconomies of Scale

    Best Operating Level

  • 1. Economies of Scale

    The reason is that when a large amount of goods is produced, the costs of production are

    spread over that large volume.

    These costs include the fixed costs of buildings and facilities, the costs of materials, and processing costs.

    The more units are produced, the larger the number of units over which costs can be

    spreadthat is, the greater the economies of scale .

  • 1. Economies of Scale

    The concept of economies of scale is very well known.

    It basically states that the average cost of a unit produced is reduced when the amount of output is increased.

    You use the concept of economies of scale in your daily life.

    Suppose you decide to make cookies in your kitchen. Think about the cost per cookie if you make only five cookies.

  • 1. Economies of Scale

    There would be a great deal of effortgetting the ingredients, mixing the dough,

    shaping the cookiesall for only five cookies.

  • 2. Diseconomies of Scale

    What if you continued to increase the number of cookies you chose to produce?

    For a while, making a few more cookies would not require much additional effort.

    However, after a certain point there would be so much material that the kitchen would

    become congested. You might have to get someone to help

    because there was more work than one person could handle.

  • 2. Diseconomies of Scale

    You might have to make cookies longer than

    expected, and the cleanup job might be

    much more difficult.

    You would be experiencing diseconomies

    of scale .

    Diseconomies of scale occur at a point

    beyond the best operating level, when the cost of each additional unit made

    increases.

  • 2. Diseconomies of Scale

    Operating a facility close to its best operating level is clearly important because of the impact

    on costs.

    However, we have to keep in mind that

    different facility sizes have different

    best operating levels.

  • 2. Diseconomies of Scale

    In our cookie example, we can see that the number of cookies comfortably produced by

    one person in a small kitchen would be much lower than the number produced by

    three persons in a large kitchen.

    Figure shows how best operating level varies between facilities of different sizes.

  • 2. Diseconomies of Scale

    Output Produced in Units

    Ave

    rage

    Un

    it C

    ost

    Small

    Medium

    Large

  • 3. Focused Factories

    The concept of the focused factory holds that a

    production facility works best when it focuses

    on a fairly limited set of production objectives.

    This means, for example, that a firm should

    not expect to excel in every aspect of manufacturing performance: cost, quality,

    delivery speed and reliability, changes in

    demand, and flexibility to adapt to new

    products.

  • 3. Focused Factories

    Rather, it should select a limited set of tasks that contribute the most to corporate

    objectives.

    For example, consider a company that competes on using the highest quality

    component parts in its products.

    Due to the high quality of parts, the company

    may not be able to offer the final product at

    the lowest price.

  • 3. Focused Factories

    In this case, the company has made a trade-

    off between quality and price.

    Similarly, a company that competes on making each product individually based on

    customer specifications will likely not be

    able to compete on speed.

    Here, the trade-off has been made between

    flexibility and speed.

  • 3. Focused Factories

    One way that large facilities with multiple products can address the issue of trade-offs is using the concept of plant-within-a-plant (PWP), introduced by well-known Harvard professor Wickham Skinner.

    The PWP concept suggests that different areas of a facility be dedicated to different products with different competitive priorities.

    These areas should be physically separated from one another and should even have their own separate workforce.

  • 3. Focused Factories

    As the term suggests, there are multiple plants within one plant, allowing a company to

    produce different products that compete on

    different priorities.

    For example, hospitals use PWP to achieve specialization or focus in a particular area, such

    as the cardiac unit, radiology, surgery, or

    pharmacy.

  • 4. Subcontractor Networks

    Another alternative to having a large production facility is to develop a large network of subcontractors and suppliers who perform a number of tasks.

    This is one of the fastest-growing trends today.

    Companies are realizing that to be successful in todays market, they need to focus on their core capabilitiesfor example, by hiring third parties or subcontractors to take over tasks that the company does not need to perform itself.

  • 4. Subcontractor Networks

    Companies such as American Airlines and Procter & Gamble have hired outside firms to manage noncritical inventories.

    Also, many companies are contracting with suppliers to perform tasks that they used to perform themselves.

    A good example is in the area of quality management.

    Historically, companies performed quality checks on goods received from suppliers.

  • 4. Subcontractor Networks

    Today, suppliers and manufacturers work together to achieve the same quality standards,

    and much of the quality checking of incoming

    materials is performed at the suppliers site.

    Another example can be seen in the auto

    industry, where manufacturers are placing more responsibility on suppliers to perform

    tasks such as design of packaging and

    transportation of goods.

  • 4. Subcontractor Networks

    By placing more responsibility on

    subcontractors and suppliers, a manufacturer can focus on tasks that are critical

    to its success, such as product development

    and design.

  • Making Capacity Planning Decisions

    The three-step procedure for making capacity planning decisions is as follows

    1. Identify Capacity Requirements

    2. Develop Capacity Alternatives

    3. Evaluate Capacity Alternatives

  • 1. Identify Capacity Requirements

    Long-term capacity requirements are identified

    on the basis of forecasts of future demand.

    Companies look for long-term patterns such as

    trends when making forecasts.

    However, long-term patterns are not enough at this stage.

    Planning, building, and starting up a new facility

    can take well over five years.

    Much can happen during that time.

  • 1. Identify Capacity Requirements

    When the facilities are operational, they are

    expected to be utilized for many years into the future.

    During this time frame numerous changes

    can occur in the economy, consumer base,

    competition, technology, and demographic factors, as well as in

    government regulation and political

    events.

  • 1. Identify Capacity Requirements

    Following are the key steps performed while identifying the capacity requirements:

    a)Forecasting Capacity

    b)Capacity Cushions

    c)Strategic Implications

  • 1.a. Forecasting Capacity

    Capacity requirements are identified on the basis of forecasts of future demand.

    Forecasting at this level is performed using qualitative forecasting methods as already discussed.

    Qualitative forecasting methods, such as executive opinion and the Delphi method , use subjective opinions of experts.

    These experts may consider inputs from quantitative forecasting models that can numerically compute patterns such as trends.

  • 1.a. Forecasting Capacity

    However, because so many variables can influence demand at this level, the experts use their judgment to validate the quantitative

    forecast or modify it based on their own knowledge.

    One way to proceed with long-range demand forecasting at this stage is to first

    forecast overall market demand.

    Then the company can estimate its market share as a percentage of the total.

  • 1.a. Forecasting Capacity

    From that we can compute an estimate of

    demand for our company for next few years

    by multiplying the overall market demand with the percentage held by our company.

    That forecast of demand can then be

    translated into specific facility

    requirements.

  • 1.b. Capacity Cushions

    Companies often add capacity cushions to their regular capacity requirements.

    A capacity cushion is an amount of capacity added to the needed capacity in order to provide greater flexibility.

    Capacity cushions can be helpful if demand is greater than expected.

    Also, cushions can help the ability of a business to respond to customer needs for different products or different volumes.

  • 1.b. Capacity Cushions

    Finally, businesses that operate too close to their maximum capacity experience many costs

    due to diseconomies of scale and may

    also experience deteriorating quality.

  • 1.c. Strategic Implications

    Finally, a company needs to consider how much

    capacity its competitors are likely to have.

    Capacity is a strategic decision, and the position of

    a company in the market relative to its competitors is very much determined by its

    capacity.

    At the same time, plans by all major competitors to increase capacity may signal the

    potential for overcapacity in the industry.

  • 1.c. Strategic Implications

    Therefore, the decision as to how much capacity to add should be made carefully.

  • 2. Develop Capacity Alternatives

    Once a company has identified its capacity

    requirements for the future, the next step is to develop alternative ways to modify its

    capacity.

    One alternative is to do nothing and re-evaluate the situation in the future.

    With this alternative, the company would not be able to meet any demands that exceed

    current capacity levels.

  • 2. Develop Capacity Alternatives

    Choosing this alternative and the time to re-

    evaluate the companys needs is a strategic

    decision.

    The other alternatives require deciding whether to purchase one large facility now or

    add capacity incrementally, as discussed earlier

    in the slides.

  • 3. Evaluate Capacity Alternatives

    Decision Trees

    There are a number of tools that we can use to evaluate our capacity alternatives but the most popular of these tools is the decision tree.

    Decision trees are useful whenever we have to evaluate interdependent decisions that must be made in sequence and when there is uncertainty about events.

    For that reason, they are especially useful for evaluating capacity expansion alternatives given that future demand is uncertain.

  • 3. Evaluate Capacity Alternatives

    Decision Trees

    Remember that our main decision is whether to purchase a large facility or a small one with the

    possibility of expansion later.

    A decision tree is a diagram that models the

    alternatives being considered and the possible

    outcomes.

    Decision trees help by giving structure to a

    series of decisions and providing an objective

    way of evaluating alternatives.

  • 3. Evaluate Capacity Alternatives

    Decision Trees

    Decision trees contain the following information:

    1. Decision points. These are the points in time when decisions, such as whether or not to expand, are made. They are represented by squares, called nodes.

    2. Decision alternatives. Buying a large facility and buying a small facility are two decision alternatives. They are represented by branches or arrows leaving a decision point.

  • 3. Evaluate Capacity Alternatives

    Decision Trees

    3. Chance events. These are events that could affect the value of a decision. For example, demand could be high or low. Each chance event has a probability or likelihood of occurring. For example, there may be a 60 percent chance of high demand and a 40 percent chance of low demand. Remember that the sum of the probabilities of all chances must add up to 100 percent. Chance events are branches or arrows leaving circular nodes.

  • 3. Evaluate Capacity Alternatives

    Decision Trees

    4. Outcomes. For each possible alternative an outcome is listed. In our example, that may be

    expected profit for each alternative (expand

    now or later) given each chance event (high

    demand or low demand).

  • Decision Trees EXAMPLE

    Mr ABC, the owner of XYZ Company, has determined that he needs to expand the facility.

    The decision is whether to expand now with a

    large facility, incurring additional costs and

    taking the risk that demand will not materialize,

    or expand now on a smaller scale, knowing that

    he will have to consider expanding again in

    three years.

  • Decision Trees EXAMPLE

    He has estimated the following chances for demand:

    The likelihood of demand being high is 0.70.

    The likelihood of demand being low is 0.30.

    He has also estimated profits for each alternative:

    Large expansion has an estimated profitability of either $300,000 or $50,000, depending on whether

    demand turns out to be high or low.

  • Decision Trees EXAMPLE

    Small expansion has a profitability of $80,000, assuming that demand is low.

    Small expansion with an occurrence of high demand would require considering whether to expand

    further. If he expands at that point, his profitability is

    expected to be $200,000. If he does not expand

    further, profitability is expected to be $150,000.

    Develop a decision tree to solve Mr ABCs problem.

  • Decision Trees SOLUTION

    Procedure for Drawing a Decision Tree:

    1. Draw a decision tree from left to right. Use

    squares to indicate decisions and circles

    to indicate chance events.

    2. Write probability of each chance event in

    parentheses.

    3. Write out the outcome for each alternative in the right margin.

  • 1

    High Demand (0.7)

    High Demand (0.7)

    Low Demand (0.3)

    Low Demand (0.3)

    Expand

    Dont Expand

    $300,000

    $50,000

    $80,000

    $200,000

    $150,000

    2

  • Decision Trees SOLUTION

    We drew the decision tree from left to right.

    To evaluate it, we work backward, from right to

    left, to determine the expected value (EV) .

    EV is a weighted average of the chance events, where each chance event is given a probability

    of occurrence.

    We start with the profitability of each alternative, working backward and selecting the

    most profitable alternative.

  • Decision Trees SOLUTION

    For example, at node 2 we should decide to expand further, because the profits from that

    decision are higher ($200,000 versus $150,000).

    EV of profits at that point is written below node 2.

    This is the expected value if we decide on a small expansion and high demand occurs.

  • 1

    High Demand (0.7)

    High Demand (0.7)

    Low Demand (0.3)

    Low Demand (0.3)

    Expand

    Dont Expand

    $300,000

    $50,000

    $80,000

    $200,000

    $150,000

    2

    $200,000

  • Decision Trees SOLUTION

    To compute the expected value ( EV) of the small expansion, we evaluate it as a weighted

    average of estimated profits given the

    probability of occurrence of each chance event:

    EVsmall expansion = 0.30($80,000) + 0.70($200,000)

    = $164,000

  • Decision Trees SOLUTION

    Similarly for large expansion:

    EVlarge expansion = 0.30($50,000) + 0.70($300,000)

    = $225,000

    The large expansion gives the higher expected value.

    This means that Mr ABC should pursue a large expansion now.

  • Decision Trees Q 1

    The owner of Hackers Computer Store is considering what to do with his business over

    the next five years. Sales growth over the past

    couple of years has been good, but sales could

    grow substantially if a major electronics firm is

    built in his area as proposed. Hackers owner sees three options. The first is to enlarge his

    current store, the second is to locate at a new

    site, and the third is to simply wait and do

    nothing.

  • Decision Trees Q 1

    The decision to expand or move would take little time, and, therefore, the store would not

    lose revenue. If nothing were done the first year

    and strong growth occurred, then the decision

    to expand would be reconsidered. Waiting

    longer than one year would allow competition

    to move in and would make expansion no

    longer feasible.

  • Decision Trees Q 1

    The assumptions and conditions are as follows: a) Strong growth as a result of the increased population

    of computer fanatics from the new electronics firm has a 55 percent probability.

    b) Strong growth with a new site would give annual returns of $195,000 per year. Weak growth with a new site would mean annual returns of $115,000.

    c) Strong growth with an expansion would give annual returns of $190,000 per year. Weak growth with an expansion would mean annual returns of $100,000.

    d) At the existing store with no changes, there would be returns of $170,000 per year if there is strong growth and $105,000 per year if growth is weak.

  • Decision Trees Q 1

    e) Expansion at the current site would cost $87,000.

    f) The move to the new site would cost $210,000.

    g) If growth is strong and the existing site is enlarged

    during the second year, the cost would still be

    $87,000.

    h) Operating costs for all options are equal

    Develop a decision tree to solve this problem.

  • 1

    2

    Move

    Expand

    Do Nothing

    Strong Growth (0.55)

    Strong Growth (0.55)

    Strong Growth (0.55)

    Weak Growth (0.45)

    Weak Growth (0.45)

    Weak Growth (0.45)

    Expand

    Do Nothing

    R - MC

    R - MC

    R - EC

    R - EC

    R - EC

    R

    R

    R (Revenue)

    MC (Move Cost)

    EC (Expand Cost)

  • Decision Trees Q 1

    ALTERNATIVE REVENUE $ COST $ VALUE $

    Move to new location, strong growth 195,000 5 = 975000 210,000 765,000

    Move to new location, weak growth

    Expand store, strong growth

    Expand store, weak growth

    Do nothing now, strong growth, expand next year

    Do nothing now, strong growth, do not expand next year

    Do nothing now, weak growth

  • Decision Trees Q 1

    ALTERNATIVE REVENUE $ COST $ VALUE $

    Move to new location, strong growth 195,000 5 = 975000 210,000 765,000

    Move to new location, weak growth 115,000 5 = 575000 210,000 365,000

    Expand store, strong growth 190,000 5 = 950000 87,000 863,000

    Expand store, weak growth 100,000 5 = 500000 87,000 413,000

    Do nothing now, strong growth, expand next year

    170,000 1 + 190,000 4

    87,000 843,000

    Do nothing now, strong growth, do not expand next year

    170,000 5 = 850000 0 850,000

    Do nothing now, weak growth 105,000 5 = 525000 0 525,000

    = 930000

  • 1

    2

    Move

    Expand

    Do Nothing

    Strong Growth (0.55)

    Strong Growth (0.55)

    Strong Growth (0.55)

    Weak Growth (0.45)

    Weak Growth (0.45)

    Weak Growth (0.45)

    Expand

    Do Nothing

    765,000

    365,000

    863,000

    413,000

    843,000

    850,000

    525,000

    R (Revenue)

    MC (Move Cost)

    EC (Expand Cost)