At a decision point in a decision tree, which machine would you select when trying to maximize payoff when the anticipated benefit of selecting machine A is $45,000 with a probability of 90%; the expected benefit of selecting machine B is $80,000 with a probability of 50% and the expected benefit of selecting machine C is $60,000 with a probability of 75%? Machine A Machine B O Machine C O You would be indifferent between machines A and B
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- A decision maker's worst option has an expected value of $1,000, and her best option has an expected value of $3,000. With perfect information, the expected value would be $5,000. What is the expected value of perfect information?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?Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that ther is a probability of 0.40 that the ATR Co. does not follow with a competitive product. Weiss's expected profit is $50,000; If weiss adds an assembley line and ATR follows suit, Weiss still expects $15,000 profit. If Weiss adds a new plant addition adn 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 $100,000 a) Expected value for the Add Assembly Line option=$____
- 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…11. Bakery Products is considering the introduction of a new line of pastries. In order to produce the new line, the bakery is considering either a major or a minor renovation of its current plant. Bill Wicker, head of operations, has developed the following conditional values table: Alternatives Favorable Market Unfavorable Market Major renovation $100,000 -$90,000Minor renovation $40,000 -$20,000 Do nothing $0 $0 Assume that the probability of a favorable market is equal to the probability of an unfavorable market.Part 2a) Choose the appropriate decision tree showing payoffs and probabilities.A.MinorFavorable40,000Unfavorable-20,000UnfavorableFavorableMajor100,000-90,000Do…A firm must decide whether to construct a small, medium, or large stamping plant. A consultant’sreport indicates a .20 probability that demand will be low and an .80 probability that demand willbe high.If the firm builds a small facility and demand turns out to be low, the net present value will be$42 million. If demand turns out to be high, the firm can either subcontract and realize the net present value of $42 million or expand greatly for a net present value of $48 million.The firm could build a medium-size facility as a hedge: If demand turns out to be low, its netpresent value is estimated at $22 million; if demand turns out to be high, the firm could do nothingand realize a net present value of $46 million, or it could expand and realize a net present value of$50 million.If the firm builds a large facility and demand is low, the net present value will be – $20 million,whereas high demand will result in a net present value of $72 million.a. Analyze this problem using a decision…
- Benjamin Moses, chief engineer of Offshore Chemicals, Inc., must decide whether to build a new processing facility based on an experimental technology. If the new facility works, the company will realize a net profit of $20 million. If the new facility fails, the company will lose $10 million. Benjamin’s best guess is that there is a 40 percent chance that the new facility will work. What decision should Benjamin Moses make?A payoff table is given as: S1 S2 S3 D1 250 750 500 D2 300 -250 1200 D3 500 500 600 (a) What choice should be made by the optimistic decision maker? (b) What choice should be made by the conservative decision maker? (c) What decision should be made under minimal regret? (d) If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected value?John Corner, chief engineer of Offshore Chemicals, Inc., have to decide whether to build a new processing facility based on an experimental technology. If the new facility works, the company will realize a net profit of $20 million. If the new facility fails, the company will lose $10 million. Benjamin’s best guess is that there is a 40 percent chance that the new facility will work What decision should Benjamin Moses make?
- 2 true or false If the decision doesn’t involve risk and uncertainty, utility is the numerical score to measure the attractiveness of a course of action.A manager is trying to decide whether to build a small,medium, or large facility. Demand can be low, average,or high, with the estimated probabilities being 0.25, 0.40,and 0.35, respectively.A small facility is expected to earn an after-tax net pres-ent value of just $18,000 if demand is low. If demand isaverage, the small facility is expected to earn $75,000; it canbe increased to medium size to earn a net present value of$60,000. If demand is high, the small facility is expected to earn $75,000 and can be expanded to medium size to earn$60,000 or to large size to earn $125,000.A medium-sized facility is expected to lose an estimated$25,000 if demand is low and earn $140,000 if demand isaverage. If demand is high, the medium-sized facility isexpected to earn a net present value of $150,000; it can beexpanded to a large size for a net payoff of $145,000.If a large facility is built and demand is high, earningsare expected to be $220,000. If demand is average for thelarge facility, the…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.