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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
10. A manager must decide how many machines of a certain type to buy. The machines will be used to manufacture a new gear for which there is increased demand. The manager has narrowed the deci- sion to two alternatives: buy one machine or buy two. If only one machine is purchased and demand is more than it can handle, a second machine can be purchased at a later time. However, the cost per machine would be lower if the two machines were purchased at the same time.
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The estimated probability of low demand is .30, and the estimated probability of high demand is .70.
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The net present value associated with the purchase of two machines initially is $75,000 if demand is low and $130,000 if demand is high.
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The net present value for one machine and low demand is $90,000. If demand is high, there  are three options. One option is to do nothing, which would have a net present value of $90,000. A second option is to subcontract; that would have a net present value of $110,000. The third option is to purchase a second machine. This option would have a net present value of $100,000.
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How many machines should the manager purchase initially? Use a decision tree to analyze this problem.
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