a manager is trying to decide whether to buy one machine or two. If only one is purchased and demand proves to be excessive, the second machine can be purchased later. some sales will be lost, however, because the lead time will be lower if both are purchased at the same time. the probability of low demand is estimated to be 0.20. the after- tax net present value of the benefits from purchasing the two machines together is $90,000 if demand is low and $180,000 if demand is high. if one machine is purchased and demand is low, the net present value is $120,000. if demand is high, the manager has 3 options. doing nothing has a net present value of $120,000, subcontracting $160,000, and buying the second machine, $140,000.  a. draw a decision tree for this probelm b how many machines should the company buy initially? what is the expected payoff for this alternative?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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a manager is trying to decide whether to buy one machine or two. If only one is purchased and demand proves to be excessive, the second machine can be purchased later. some sales will be lost, however, because the lead time will be lower if both are purchased at the same time. the probability of low demand is estimated to be 0.20. the after- tax net present value of the benefits from purchasing the two machines together is $90,000 if demand is low and $180,000 if demand is high. if one machine is purchased and demand is low, the net present value is $120,000. if demand is high, the manager has 3 options. doing nothing has a net present value of $120,000, subcontracting $160,000, and buying the second machine, $140,000. 

a. draw a decision tree for this probelm

b how many machines should the company buy initially? what is the expected payoff for this alternative?

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