A manufacturing plant has reached full capacity. The company must build a second plant—either small or large—at a nearby location. The demand is likely to be high or low. The probability of low demand is 0.3. If demand is low, the large plant has a present value of $5 million and the small plant, apresent value of $8 million. If demand is high, the large plant pays off with a present value of $18 million, and the small plant with a present value of only $10 million. However, the small plant can be expanded later if demand proves to be high for a present value of $14 million.a. Draw a decision tree for this problem.b. What should management do to achieve the highest expected payoff?

A manufacturing plant has reached full capacity. The company must build a second plant—either small or large—at a nearby location. The demand is likely to be high or low. The probability of low demand is 0.3. If demand is low, the large plant has a present value of $5 million and the small plant, apresent value of $8 million. If demand is high, the large plant pays off with a present value of $18 million, and the small plant with a present value of only $10 million. However, the small plant can be expanded later if demand proves to be high for a present value of $14 million.a. Draw a decision tree for this problem.b. What should management do to achieve the highest expected payoff?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 63P: It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield...

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It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
A manufacturing plant has reached full capacity. The company must build a second plant—eithersmall or large—at a nearby location. The demand is likely to be high or low. The probability of low demand is 0.4. If demand is low, the large plant has a present value of $6 million and the small plant, $9 million. If demand is high, the large plant pays off with a present value of $20 million and the small plant with a present value of only $11 million. However, the small plant can be expanded later if demand proves to be high, for a present value of $13 million.
The Hard to Beat Bakery is deciding whether to buy or repair an existing oven thatthey have been using for over 8 years. If they elect to repair, it will cost the entity$950,000 and either of two outcomes is likely: 1. A 20% probability it will perform okay and generate revenues of$10,000,000, or 2. An 80% chance that it will be partially restored and generate revenue of$2,000,000. If on the other hand however, they purchase a new oven, they can either buy animported oven for $3,500,000 or they can buy a locally made one for $2,200,000.If the elect to purchase the imported oven, production will earn them revenues of$15,550,000, but if they buy the locally made oven, there is a 70% likelihood thatit perform as expected and generate revenues of $12,000,000; and a 30% chancethat it will not and generate revenues of $6,000,000. Required: 1. Draw a decision tree of this problem and determine the expected value.2. Advise the management of the Bakery on how to proceed.3. Briefly discuss the…
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A firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a 0.20 probability that demand will be low and 0.80 that demand will be high. If the firm builds a small facility and demand turns out to be low, the Net Present Value (NPV) willbe $42M. If demand turns out to be high, the firm can either subcontract and realize the NPV of $42M orexpand greatly for a Net Present Value of $48M. The firm could build a medium size facility as a hedge: if demand turns out to be low, its NPV is estimated at $22M; if demand turns out to be high, the firm could do nothing and realize a NPV of $46M, or could expand and realize a NPV of $50M. If the firm builds a large facility and demand is low, the NPV will be ($20M), whereas high demand will result in a NPV of $72M. Compute the EVPI *
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Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.40 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $40,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $20,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $100,000. a) Expected value for the Add Assembly Line option = $ (enter your answer as a whole number).
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Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.6 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $40,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $10,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $100,000. What is the best decision based on expected monetary value (EMV)? What are the EMV and the expected value of perfect information (EVPI)? The best decision is to select the new plant with the EMV of $320,000 and the EVPI is $364,000. The best decision is to select the assembly line with the EMV of $180,000 and the EVPI is $66,000. The best decision is to select the assembly line…
Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.35 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $50,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $20,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $120,000. a) Expected value for the Add Assembly Line option = $ $ 39500 (enter your answer as a whole number). Expected value for the Build New Plant option = $ (enter your answer as a whole number). %3D