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 for producing this type of machine is six months. In addition, the cost per machine 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 $80,000 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 $110,000. If demand is high, the manager has three options. Doing nothing has a net present value of $110,000; subcontracting, $160,000; and buying the second machine, $130,000. a. Choose the correct decision tree for this problem. Note that each payoff is given in thousands of dollars.

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 5P: Hudson Corporation is considering three options for managing its data warehouse: continuing with its...
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b. How many machines should the company buy initially? What is the expected payoff for this alternative?
(Enter your responses as integers.)
Best decision is to buy 2 machine(s) and its expected payoff is $
Transcribed Image Text:b. How many machines should the company buy initially? What is the expected payoff for this alternative? (Enter your responses as integers.) Best decision is to buy 2 machine(s) and its expected payoff is $
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 for producing this type of machine is six months. In addition, the cost per machine 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 $80,000 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 $110,000. If demand is high, the
manager has three options. Doing nothing has a net present value of $110,000; subcontracting, $160,000; and
buying the second machine, $130,000.
a. Choose the correct decision tree for this problem. Note that each payoff is given in thousands of dollars.
Transcribed Image Text: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 for producing this type of machine is six months. In addition, the cost per machine 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 $80,000 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 $110,000. If demand is high, the manager has three options. Doing nothing has a net present value of $110,000; subcontracting, $160,000; and buying the second machine, $130,000. a. Choose the correct decision tree for this problem. Note that each payoff is given in thousands of dollars.
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