PRODUCTIVE OPERATIONS SYSTEMS, E FFICIENCY & P RODUCTIVITY Prepared by Prof. Dr. Şevkinaz Gümüşoğlu using different references about POM

PRODUCTIVE OPERATIONS SYSTEMS,EFFİCİENCY & PRODUCTİVİTY

Prepared by Prof. Dr. Şevkinaz Gümüşoğlu using different references about POM

PRODUCTİVE OPERATİONS SYSTEMSPRODUCTİON SYSTEM USES OPERATİONS RESOURCES TO TRANSFORM İNPUTS İNTO SOME DESİRED OUTPUTS. WE HAVE ALSO DEFİNED OPERATİONS MANAGEMENT AS THE MANAGEMENT OF TRANSFORMATİON SYSTEMS WHİCH CONVERT İNPUTS İNTO GOOD AND SERVİCES AS A PRODUCTİVE SYSTEM.

PRODUCTİVE SYSTEM CAN BE DEFİNED AS A PROCESS FOR CONVERTİNG RESOURCES İNPUTS İNTO GOODS AND SERVİCES USING BEST APROACHES. RESOURCES ARE COMBİNED AND TRANSFORMED İN A CONTROLLED MANNER

TO ADD VALUE İN ACCORDANCE WİTH ORGANİZATİONAL OBJECTİVES.

OPERATİONS RESOURCES CONSİST OF WHAT WE TERM THE FİVE P; PEOPLE, PLANTS, PARTS, PROCESSES, PLANNİNG & CONTROL THE SYSTEMS VİEW OF OPERATİONS ALSO PROVİDES İNSİGHT FOR THE DESİGN AND MANAGEMENT PRODUCTİVE SYSTEMS İN FUNCTİONAL AREAS OUTSİDE THE OPERATİONS FUNCTİON. FROM THE VİEW POİNT OF SYSTEM ALL (SYSTEMS) ACTİVİTİES ARE DESİGNED TO CREATE THE VALUE FOR BUYERS.

PRODUCTİON OBJECTİVE

Low cost for standart production Tecnology& methods: keep them for

conversion process Costumer service & quality& cost reduction Productivity improvement

Ch 1 - 21© 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e

IN THİS CASE WE CAN DEFİNE COMPETİTİVENESS ;

The degree to which a nation, can, under demanding and rapidly changing market conditions, produce goods and services that meet the test of international markets while simultaneously maintaining or expanding the real incomes of its citizens.


MEASURES OF COMPETİTİVENESS

Gross domestic product (GDP) Import/export ratio Productivity = output / input


PRODUCTİVİTY INCREASES WHEN FİRMS

Become more efficient Downsize Expand Retrench Achieve breakthroughs


PRODUCTİVİTY RATES

Internet-enabled productivityInternet-enabled productivity

- Dot com bust- 9/11 terrorist attacks- Dot com bust- 9/11 terrorist attacks

Source: “International Comparisons of Manufacturing Productivity and Unit Labor Cost Trends, 2002,” Bureau of Labor Statistics, U.S. Department of Labor, September 2003. U.S. figures for 2002–2003 from “Major Sector Productivity and Costs Index,” Bureau of Labor Statistics, U.S. Department of Labor, March 2004


CHANGES IN INPUT AND OUTPUT

. .

Productivity as a Function of Inputs and Outputs, 2001–2002Source: “International Comparisons of Manufacturing Productivity and Unit Labor Cost Trends, 2002,” Bureau of Labor Statistics, U.S. Department of Labor, September 2003

Breakthrough PerformanceBreakthrough Performance

More EfficientMore Efficient

RetrenchRetrench

PRODUCTIVITY MEASUREMENT

Productivity is a common measure of how well a country, industry, or business unit is using its resources ( or factor of production).

Productivity is defined as OUTPUTS / INPUTS.

To increase productivity, we want to make this ratio of outputs to inputs as large as practical.

Productivity is what we call a relative measure. It needs to be compared with something else.

The company can compare itself with similiar operations within its industry.

Another approach is to measure productivity over time within the same operation. Here we would compare our productivity in one time period with that of the next.

Goods and services have a higher value to consumers than the acquisition and processing costs of the inputs have to the organization.

For these reason transformation is too important. Managing the transformation process in an efficient and effective manner is the task of operation manager in any type of organization.

Productivity is a measure of the effectiveness of the use of resources to produce goods and services.

The ratio of output value to input cost should be greater than 1.

Value is what buyers are willing to pay value of the output is established by consumer in the marketplace.

Cost of inputs is dictated largely by what the firm must pay its suppliers.

On the other hand, suppliers not only deliver a product but also can influence firm’s performance in many other ways.

Thus management often focuses upon the efficiency of the transformation activities.

Some of the principal factor influencing productivity changes one,

Capital/ labor ratio Resource scarcity Workforce changes Innovation and technology Regulatory and bargaining Quality of work life

Henry Ford’s focus was largely on manufacturing efficiency; By adopting fixed work-stations, Increasing task specialisation, Moving work to the worker.

So he applied scientific management to the production of the Model T in 1913 and reduced the time required assembling a car from high of 728 hours to 1.5 hours. A model chassis moved slowly down a conveyor belt with six workers walking along beside it, picking up parts from carefully spaced piles on the floor and fitting them to the chassis. The short assembly time per car allowed Model be produced T to in high volumes, or “En masse”, yielding the name “Mass Production”.

Mass Production is high-volume production of a standardised product for a mass market.Ford increased productivity and lowered prices. In doing so, he also made the automobile affordable for the average person.Taylor and his associates concentrated on the problems of foreman, superintendents, and lower middle managers in factories; because it was here that most was mass production and efficiency in the factories to respond to the great western markets.The key premise of Scientific Management era was that any operation could be improved by breaking it down into components, measuring the work content, and seeking ways to improve work methods. Taylor’s philosophy was to replace “subjective” management by “objective” management based on science. It centred on three ideas:

1. Scientific laws govern how much a worker can produce per year;

2. It is management’s function to discover and apply these laws to productive operations systems; and 3. It is the worker’s function to carry out decisions without question.

In the factory a middle-level production department gained much of the control over manufacturing issues formerly handled by the president and foreman. Therefore the basis of scientific management is a focus on economic efficiency at the production core of the organization. Of central importance is the belief that rationality in the part of management will obtain economic efficiency. Economic Efficiency refers to the ratio of outputs to input. In other words, economic efficiency is getting the most output from the least amount of inputs. Organizational Efficiency typically is a ratio of product or service outputs to land, capital or labor inputs. Managers deal with scarce inputs – including resources such as people, money, and equipment- they’re concerned with the efficient use of those resources. Efficiency (%) = (Output/Input) * 100%

Example: The standard in a cafeteria is the preparation of 200 cheeseburgers per

hour. If labour input produces 150 cheeseburgers per hour, how efficient is the operation?

Solution: Labour Efficiency (%) = (Labour Output/Labour Input) * 100% = (150/200)

*100%= 75% Compared with the standard, this operation is 75% efficient in the

preparation of cheeseburgers. Collect data on each element of work and develop standardized procedures

for workers,(i.e. establish proper work methods and tools), Scientifically select, train, and develop workers instead of letting them train

themselves, (i.e. provide the proper training), Strive for a spirit of cooperation between management and the

workers so that high production at good pay is fostered,(i.e. establish legitimate incentives for work to be done, and to develop a hearty cooperation between management and the workers),

Divide the work between management and labour so that each group does the work for which it is best suited, (i.e. to match employees to the right job).

(Taylor’s Philosophy of Scientific Management)

The creation of goods and services requires changing resources into goods and services. Productivity is used to indicate how good an operation is at converting inputs to outputs efficiently. The more efficiently we make this change the more productive we are.

Productivity; is the ratio of outputs (goods and service) divided by one or more inputs ( such as labour, capital or management).

The production/operations manager’s job is to enhance (improve) this ratio of outputs to inputs.

Productivity is a measure of operational performance. Thus improving productivity means improving efficiency. This improvement can be achieved in two ways: a reduction in inputs while output remains constant , an increase in output while inputs remain constant.

Both represent an improvement in productivity. Production is the total goods and services produced. High Production may imply only that more people are working and that employment levels are high (low unemployment), but it does not imply high productivity.

To judge the success of an economic system in meeting its goals, economists use one or more of the following measures: Gross National Product, GNP, Gross Domestic Product, GDP, Balance of Trade, National Debt, Productivity.

Productivity in this sense, is the measure of economic growth that compares how much a system produces with regard to the resources needed to produce it.

EXAMPLES OF PRODUCTIVE SYSTEMS

OPERATION BANK RESTAURANT HOSPITAL UNIVERSITYMANUFACTURING

PLANTAIRLINE

INPUT

Tellers, staff, computer equipment, facilities, and energy

Cooks, waitresses, food, equipment, facilities, and energy

Doctors, nurses, staff, equipment, facilities, and energy

Faculty, staff, equipment, facilities, energy, and knowledge

Equipment, facilities,labor, energy, raw materials

Planes, facilities, pilots,flight, attendants, maintenance people, labor, energy

OUTPUT

Financial Services (loan deposits, safekeeping).

Meals, entertainment,satisfied customers

Health services, health patients

Educated students, research, public service

Finished goods Transportation from or location to another.

OPTİONS FOR INCREASİNG OPTİONS FOR INCREASİNG CONTRİBUTİONCONTRİBUTİON

SalesSales $100,000$100,000 $150,000$150,000 $100,000$100,000 $100,000$100,000

Cost of Goods Cost of Goods – 80,000– 80,000 – 120,000– 120,000 – 80,000– 80,000 – 64,000– 64,000

Gross MarginGross Margin 20,00020,000 30,00030,000 20,00020,000 36,00036,000

Finance CostsFinance Costs – 6,000– 6,000 – 6,000 – 6,000 – 3,000– 3,000 – 6,000– 6,000

SubtotalSubtotal 14,00014,000 24,00024,000 17,00017,000 30,00030,000

Taxes at 25%Taxes at 25% – 3,500– 3,500 – 6,000– 6,000 – 4,250– 4,250 – 7,500– 7,500

ContributionContribution $ 10,500$ 10,500 $ 18,000$ 18,000 $ 12,750$ 12,750 $ 22,500$ 22,500

Finance/Finance/MarketingMarketing AccountingAccounting OMOM

OptionOption OptionOption OptionOption

IncreaseIncrease ReduceReduce ReduceReduceSalesSales FinanceFinance ProductionProduction

CurrentCurrent Revenue 50%Revenue 50% Costs 50%Costs 50% Costs 20%Costs 20%

Measurement of productivity is an excellent way to evaluate a country’s ability to provide an improving standard of living for its people. Only through increases in productivity can the standard of living improve. Moreover, only through increases in productivity can labour, capital and management receive additional payments. If returns to labour, capital, or management are increased without increased productivity, prices rise. On the other hand, downward pressure is placed on prices when productivity increases; more is being produced with the same resources.

e.g. If units produced =1000 units Labour hours used =250 hrs. Productivity = 1000/250 = 4units/labour-hour.

Productivity measures can be based on a single input (Single-Factor Productivity or Partial Productivity) or on more than one input (Multi-Factor Productivity) or on all inputs. The choice depends on the purpose of the measurement.

Single-factor Productivity: Indicates the ratio of one resource (input) to the goods and services produced (outputs). For example, for labour productivity, the single input to the operation would be employee hours.

Productivity = {Output of a specific Product}/ {Input of a specific Resource}

Example 1. Three employees process 600 insurance policies in a week.

They work 8 hrs. per day, 5-days per week. Find labour productivity.

Solution: Labour Productivity = [Policies Issued]/[Employee Hours]

Plabor = 600 policies/[(3 employees)(40 hrs/employee)]

Plabor = 5 Policies/hr.

PRODUCTİVİTY CHALLENGEPRODUCTİVİTY CHALLENGE

Productivity is the ratio of outputs (goods and Productivity is the ratio of outputs (goods and services) divided by the inputs (resources services) divided by the inputs (resources

such as labor and capital)such as labor and capital)

The objective is to improve productivity!The objective is to improve productivity!

Important Note!Production is a measure of output only and

not a measure of efficiency

FeedbackFeedback looploop

OutputsOutputs

Goods and

services

ProcessesProcesses

The U.S. economic system transforms inputs to

outputs at about an annual 2.5% increase in

productivity per year. The productivity increase is the

result of a mix of capital (38% of 2.5%), labor (10% of 2.5%), and management

(52% of 2.5%).

THE ECONOMİC SYSTEMTHE ECONOMİC SYSTEM

InputsInputs

Labor,capital,

management

Figure 1.7Figure 1.7

IMPROVİNG PRODUCTİVİTY AT IMPROVİNG PRODUCTİVİTY AT STARBUCKSSTARBUCKS

A team of 10 analysts A team of 10 analysts continually look for ways to continually look for ways to shave time. Some shave time. Some improvements:improvements:

Stop requiring signatures Stop requiring signatures on credit card purchases on credit card purchases under $25under $25

Saved 8 seconds Saved 8 seconds per transactionper transaction

Change the size of the ice Change the size of the ice scoopscoop

Saved 14 seconds Saved 14 seconds per drinkper drink

New espresso machinesNew espresso machines Saved 12 seconds Saved 12 seconds per shotper shot

IMPROVİNG PRODUCTİVİTY AT IMPROVİNG PRODUCTİVİTY AT STARBUCKSSTARBUCKS

A team of 10 analysts A team of 10 analysts continually look for ways to continually look for ways to shave time. Some shave time. Some improvements:improvements:

Stop requiring signatures Stop requiring signatures on credit card purchases on credit card purchases under $25under $25

Saved 8 seconds Saved 8 seconds per transactionper transaction

Change the size of the ice Change the size of the ice scoopscoop

Saved 14 seconds Saved 14 seconds per drinkper drink

New espresso machinesNew espresso machines Saved 12 seconds Saved 12 seconds per shotper shot

Operations improvements have helped Starbucks Operations improvements have helped Starbucks increase yearly revenue per outlet by $200,000 to increase yearly revenue per outlet by $200,000 to $940,000 in six years.$940,000 in six years.

Productivity has improved by 27%, or about 4.5% Productivity has improved by 27%, or about 4.5% per year.per year.

Measure of process improvementMeasure of process improvement

Represents output relative to inputRepresents output relative to input

Only through productivity increases Only through productivity increases can our standard of living improvecan our standard of living improve

SUMMARY:SUMMARY: PRODUCTİVİTYPRODUCTİVİTY İS TOO İS TOO İMPORTANT ALL OF THE COMPANY…İMPORTANT ALL OF THE COMPANY…

Productivity =Productivity =Units producedUnits produced

Input usedInput used

PRODUCTİVİTY CALCULATİONSPRODUCTİVİTY CALCULATİONS

Productivity =Productivity =Units producedUnits produced

Labor-hours usedLabor-hours used

= = 4 units/labor-hour= = 4 units/labor-hour1,0001,000

250250

Labor ProductivityLabor Productivity

One resource input One resource input single-factor productivity single-factor productivity

MULTİ-FACTOR PRODUCTİVİTY MULTİ-FACTOR PRODUCTİVİTY

OutputOutput

Labor + Material + Energy + Labor + Material + Energy + Capital + MiscellaneousCapital + Miscellaneous

Productivity =Productivity =

Also known as total factor productivityAlso known as total factor productivity

Output and inputs are often expressed in Output and inputs are often expressed in dollarsdollars

Multiple resource inputs Multiple resource inputs multi-factor productivity multi-factor productivity

Example 2. Azim Title Company has a staff of 4 each working

8 hours/day (for a payroll cost of $640/day) and overhead expenses of $400/day, Azim process and closes on 8 titles each day. The company recently purchased a computerised title-search system that will allow the processing of 14 titles/day, although the staff, their work hours, and pay will be the same , the overhead expenses are now $800/day.

Labour-productivity with the old system: =0.25titles/lab.hrs. Labour-productivity with the new system:

=0.4375titles/lab.hrs.

TİTLE PRODUCTİVİTYTİTLE PRODUCTİVİTY

Staff of 4 works 8 hrs/dayStaff of 4 works 8 hrs/day 8 titles/day 8 titles/dayPayroll cost = $640/dayPayroll cost = $640/day Overhead = $400/day Overhead = $400/day

Old System:Old System:

==Old labor Old labor

productivityproductivity8 titles/day8 titles/day

32 labor-hrs32 labor-hrs




8 titles/day8 titles/day

32 labor-hrs32 labor-hrs==Old labor Old labor

productivityproductivity = .25 titles/labor-hr= .25 titles/labor-hr




14 titles/day14 titles/day Overhead = $800/day Overhead = $800/day

New System:New System:



productivityproductivity

==New labor New labor


= .25 titles/labor-hr= .25 titles/labor-hr


32 labor-hrs32 labor-hrs










32 labor-hrs32 labor-hrs==New labor New labor


COLLİNS TİTLE PRODUCTİVİTYCOLLİNS TİTLE PRODUCTİVİTY





==Old multifactor Old multifactor

productivityproductivity8 titles/day8 titles/day

$640 + 400$640 + 400







$640 + 400$640 + 400==Old multifactor Old multifactor

productivityproductivity = .0077 titles/dollar= .0077 titles/dollar







$640 + 400$640 + 400==Old multifactor Old multifactor


==New multifactor New multifactor


= .0077 titles/dollar= .0077 titles/dollar


$640 + 800$640 + 800







$640 + 400$640 + 400


$640 + 800$640 + 800

==Old multifactor Old multifactor


==New multifactor New multifactor




Example 3- continued… Multi-factor productivity with the old system: = 0.0077 titles/$ Multi-factor productivity with the new system:

=0.0097 titles/$ Labour productivity has increased from 0.25 to

0.4375. The change is = 1.75 or 75% increase in labour

productivity. Multi-factor productivity has increased from

0.0077 to 0.0097. This change is 0.0097/0.0077 = 1.259 or a 25.9%

increase in multi-factor productivity.

MEASUREMENT PROBLEMSMEASUREMENT PROBLEMS

QualityQuality may change while the quantity may change while the quantity of inputs and outputs remains of inputs and outputs remains constantconstant

External elementsExternal elements may cause an may cause an increase or decrease in productivityincrease or decrease in productivity

Precise unitsPrecise units of measure may be of measure may be lackinglacking

PRODUCTİVİTY VARİABLESPRODUCTİVİTY VARİABLES

LaborLabor - contributes - contributes about 10% of the annual about 10% of the annual increaseincrease

CapitalCapital - contributes - contributes about 38% of the annual about 38% of the annual increaseincrease

ManagementManagement - - contributes about 52% contributes about 52% of the annual increaseof the annual increase

Multi-factor Productivity: Indicates the ratio of many or all resources (inputs) to the goods and services produced (outputs). When calculating multi-factor productivity, all inputs must be converted into a common unit of measure, typically cost.

Example 3. A team of workers make 400 units of a product, which

is valued by its standard cost of $10 each (before markups for other expenses and profit). The accounting department reports that for this job the actual costs are:$400 for labour,$1000 for materials and$300 for overhead.Calculate multi-factor productivity.

Solution: Multi-Factor Productivity = [Quantity at standard

cost]/[Labour cost + Materials cost + Overhead cost]Pmf = [400 Units x $10 ]/[$400+$1000+$300] = $4 000 / $1 700 Pmf = 2.35

Example 4. a. Productivity can be measured in a variety of

ways, such as labour, capital, energy, material usage, and so on. At Modern Lumper, Inc. Ali Caliskan, president and producer of apple crates sold to growers, has been able, with his current equipment, to produce 240 crates per 100 logs, the current purchases 100 logs per day and each log requires 3 labour-hrs to process.

He believes that he can hire a professional buyer who can buy a better-quality log at the same cost. If this is the case, he can increase his production to 260 crates/100logs, this labour-hours will increase by 8 hrs per day.

What will be the impact on productivity(measured in crates per labour-hour) if the buyer is hired?

Solution:a. aa) Current Labour Poductivity =

240crates/(100logs*3hrs)=0,8 crates/lab-hr.

ab) Labour Productivity with buyer= 260crates/[(100logs*3hrs)+8hrs]=0.844 crates/lab-hr.

Using current productivity (0.8 from (a)) as a base, the increase will be 5.5% (0.844/0.8=1.055 or a 5.5% increase)

b. Ali Caliskan has decided to look at his productivity from a multifactor (total factor productivity) perspective. To do so, he has determined his labour, capital, energy and material usage and decided to use money units (MU for dollars or TL) as the common denominator

His total labour-hours are now 300 hrs/day and will increase to 308 hrs/day. His capital and energy costs will remain constant at $350 and $150 per day, respectively. Material costs for the 100 logs per day are $1000 and will remain the same.

Because he pays an average of $10 for hour (with fringes), Caliskan wants to determine his productivity increase?

b. Current System System with Professional Buyer

Labour 300hrs@$10= $3000 308hrs@$10 = $3.080 Material 100logs/day 1.000 1.000 Capital 350 350 Energy 150 150

Total Cost $4.500 $ 4.580

Productivity of current system=240crates/4500=0.0533

Productivity of proposed system=260crates/4580=0.0567

Using current productivity (0.0533) as a base, the increase will be 0.00347. That is, 0.0567/0.0533=1.064 or 6.4% increase.

Example 5.Sergio Farmerson makes billiard balls in his famous Boston plant. With recent increases in his costs, he has a new-found interest in efficiency. Sergio is interested in determining the productivity of his organisation. He would like to know if his organisation is maintaining the manufacturing average of 3% increase in productivity. He has the following data representing a month from last year and an equivalent month this year. Last Year This Year Units produced 1 000 1 000 Labour (hours) 300 275 Resin (kgs) 50 45 Capital invested ($) 10 000 11 000 Energy (kw) 3 000 2 850

Show the productivity change for each category and then determine the improvement for labour hours, the typical standard for comparison.

Sergio determines his cost to be as follows: Labour $10 /hour Resin $5 /kg Capital 1% per month of investment Energy $0.50 /kw

Show the productivity change, for one month last year versus one month this year, on a multifactor basis with money units (MU) as the common denominator.

Solution:a.Resource Last Year This Year Change Percent

ChangeLabour 1000/300 = 3.33 1000/275 = 3.64 0.31

0.31/3.33 = 9.3%Resin 1000/50 = 20 1000/45 = 22.22 2.22 2.22/20

= 11.1%Capital 1000/10000 = 0.1 1000/11000 = 0.09 -0.01

-0.01/0.1= -10.0%Energy 1000/3000 = 0.33 1000/2850 = 0.35 0.02

0.02/0.33 = 6.1%

b. Last Year This Year

Production 1.000 units 1.000 unitsLabour hrs@$10 $3 000 $2 750 Resin@$5 $ 250 $225 Capital cost/month $100 $110 Energy@ $0.50 $1 500 $1 425 TOTAL……………….. $4 850 $4 510

Percent change in productivity = {1000/4850 – 1000/4510}/1000/4850 = -0.0752 fewer resources = 7.5% improvement

Example 6: The weekly output of a production process is shown below, together with data for labour and material inputs. The standard inventory value of the output is $125 per unit. Overhead is charged weekly at the rate of $1500 plus 0.5 times direct labour cost. Assume a 40-hr/ week and an hourly wage of $16 . Material cost is $10 per running meter. Compute the average multi-factor productivity for this process. Week 1 2 3 4

Output 412 364 392 408

# workers 6 5 5 6

Material (meters) 2840 2550 2720 2790

Solution:

Week 1 = 412 ($125) = 1.444 [6*40*$16]+[2840*$10]+ [0.5*6*40*$16] + $1500 Week 2 = 364 ($125) = 1.431 5*40*$16 + 2550*$10 + 0.5*5*40*16 MU + $1500 Week 3 = 392($125) = 1.463 5*40*$16 + 2720*$10 + 0.5*5*40*$16 +$1500 Week 4 = 408 ($125) = 1.457 6*40*$16 + 2790*$10+ 0.5*6*40*$16 + $1500 Average = [1.444 + 1.431 + 1.463 + 1.451] / 4 = 1.447

Example 7:

Student tuition at EMU is $100 per semester credit hour. TRNC supplements school revenue by matching student tuition $ per $. Average class size for a typical 3-credit course is 50 students. Labor costs are $ 4 000 per class. Material costs are $ 20 per student per class and overhead costs are $ 25 000 per class.

What is multifactor productivity? If instructors work an average of 14hrs/week for 16 weeks for each 3-credit class

of 50 students what is the labor productivity ratio?

Solution:Multifactor productivity is the ratio of the value of output to the value of input

resources.Value of output = (50stds/class) * (3credit hrs/student) * ($100tuition + $100

state support/credit hr) = $30 000/class

Value if input = Labour + Materials + Overhead = [$4000 + ($20/std * 50stds) + $25000] / class= $30000/class

Multifactor productivity = Output / Input = $30000/class / $30000/class = 1.00 Labor productivity is the ratio of the value of output to labor hrs. The value of

output is same as in part a), that is $30000/class, soLabor input = (14hrs/week) * (16weeks/class) = 224hrs/classLabor productivity = Output/Input = ($30000/class) / (224hrs/class) =

$133.93/hr

Documents

PRODUCTIVE OPERATIONS SYSTEMS, E FFICIENCY & P RODUCTIVITY Prepared by Prof. Dr. Şevkinaz Gümüşoğlu using different references about POM