FreemarkWinery_Group7_sec A_Assignment 1.docx

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    Introduction

    This case analysis encircles the problem faced by William Jaeger, partner of Freemark

    Abbey Winery. To produce quality grapes, the grapes need to be harvested when they have

    acquired proper sugar and acidity levels. Due to approaching storm, William is forced to evaluatethe future options so that he can arrive at the right decision about harvesting the grapes. Here

    various alternatives are evaluated using Decision tree with an objective of maximization of

    expected value and arrived at an optimal decision.

    Back Ground

    Freemark Abbey was located in Napa Valley, California. The winery produced only

    premium wines from the best grape varieties. Each year about 1000 cases of Riesling wine were

    bottled. (1 case = 12 bottles) Several different styles of Riesling wine are available in market. A

    rare style results when almost-ripe Riesling is attacked by the botrytis mold. The resulting wine

    is extraordinary.

    Now William is left with two alternatives,

    Harvest before storm Wait for storm

    If harvested before storm, the wine yielded is sold at wholesale price of $2.85 per bottle.

    From the weather reports, Jaeger concluded that there was a fifty-fifty chance that the rainstorm

    would hit the Napa Valley. Also he thought that there was a 40% chance that, if the storm did

    strike, it would lead to the development of botrytis mold and the wholesale price of resulting

    wine would be $8 per bottle, but there is 30% reduction in total juice produced. If botrytis did not

    form, this would yield thin wine which can be sold at wholesale price of $2 per bottle. If Jaeger

    decide not to harvest the grapes immediately in anticipation of the storm and storm did not strike,tree possibilities are there 1) with luck, the grapes would result in a good wine selling for around

    $3.50 per bottle in wholesale with aprobability of 0.4 2) grapes would yield a light wine selling

    at $3 per bottle wholesale with a probability of 0.4 and 3) dip in acidity that would produce a

    low acid wine that would be priced at $2.50 with aprobability of 0.2. The estimation part is as

    follows.

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    Decision Tree

    Considering the option of bottling and selling the wine wholesale

    Mold $8/bottle

    0.4

    Storm 0.6

    0.5 No Mold$2/bottle

    Good wine $3.50/b

    Wait

    0.5 0.4

    No Storm 0.4 Light wine $3.00/b

    Harvest 0.2

    Acid dip $2.50/b

    $2.85/bottle

    Calculation

    All the estimates are done, considering 1000 cases of Riesling wine are bottled

    Considering the option of bottling and selling the wine wholesale

    If harvested before storm,

    Wholesale price = $2.85/bottle

    Therefore, revenue expected = $2.85*1000*12 =

    If decided not to harvest immediately, storm strikes, botrytis mold developed,

    Probability = 0.4

    As there is 30% reduction in total wine produced, no of cases produced = (1-0.3)*1000= 700

    $67,200

    $24,000

    $4,200

    $3,600

    $3,000

    $34,200

    $42,000

    $36,000

    $30,000

    $34,200

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    Wholesale price = $8/bottle

    Therefore revenue expected = $8*12*700= $67,200

    If decided not to harvest immediately, storm strikes, and botrytis mold is not developed,

    Probability = 0.6

    Wholesale price = $2/bottle

    No of cases = 1000

    Therefore expected revenue = $2*12*1000 = $24,000

    If decided not to harvest immediately in anticipation of storm and storm did not strike there are

    3 possibilities

    Possibility 1- with luck, the grapes would result in a good wine

    Probability = 0.4

    Wholesale price = $3.50/bottle

    Therefore revenue expected = $3.50*12*1000 = $42,000

    Possibility 2under favorable weather, grapes yield a light wine

    Probability = 0.4

    Wholesale price = $3/bottle

    Therefore revenue expected = $3*12*1000 = $36,000

    Possibility 3 - dip in acidity that would produce a low acid wine

    Probability = 0.2

    Wholesale price = $2.50

    Therefore revenue expected = $2.50*12*1000 = $30,000

    Calculation of expected revenue when decided not to harvest immediately,

    Probability that storm strikes = 0.5

    Probability that storm did not strike = 0.5

    Expected revenue when storm strikes = ($67,200*0.4) + ($24,000*0.6)

    = $41,280

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    Expected revenue when storm did not strike = ($42,000*0.4) + ($36,000*0.4) + ($30,000*0.2)

    = $ 37,200

    Therefore, expected revenue when decided not to harvest immediately in anticipation of storm

    = (0.5*$41,280) + (0.5*$37,200)

    Hence William is advised to wait in anticipation of storm, considering the option of wine isbottled and sold wholesale

    Considering the option of not bottling the wine that was not up to standards and selling the

    wine in bulk/selling grapes directly

    This option is applicable only for the condition storm strikes and botrytis mold not formed

    Selling price = half of bottling price

    Therefore expected revenue = *$24,000

    = $12,000

    And other possibilities remain the same

    Calculation of expected revenue when decided not to harvest immediately,

    Probability that storm strikes = 0.5

    Probability that storm did not strike = 0.5

    Expected revenue when storm strikes = ($67,200*0.4) + ($12,000*0.6)

    = $34,080

    Expected revenue when storm did not strike = ($42,000*0.4) + ($36,000*0.4) + ($30,000*0.2)

    = $ 37,200

    Therefore, expected revenue when decided not to harvest immediately in anticipation of storm

    = (0.5*$34,080) + (0.5*$37,200)

    In this case also William is advised to wait in anticipation of storm, as $35,640>$34,200 considering the option of not bottling the wine that was not up to standards and selling the

    wine in bulk/selling grapes directly

    Conclusion

    Hence the optimal decision to be made by William Jaeger is to wait anticipating storm

    $39,420

    $35,640