Assuming that Ritz must have the semiconductor​ (stopping or doing without is not a viable​ option), what is the best​ decision? Now, find the expected cost of the first attempt.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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Ritz​ Products's materials​ manager, Tej​ Dhakar, must determine whether to make or buy a new semiconductor for the wrist TV that the firm is about to produce.
Three
million units are expected to be produced over the life cycle. If the product is​ made, start-up and production costs of the make decision total
​$1
​million, with a probability of
0.5
that the product will be satisfactory and a
0.5
probability that it will not. If the product is not​ satisfactory, the firm will have to reevaluate the decision. If the decision is​ reevaluated, the choice will be whether to spend another
​$1
million to redesign the semiconductor or to purchase. Likelihood of success the second time that the make decision is made is
0.8.
If the second make decision also​ fails, the firm must purchase. Regardless of when the purchase takes​ place, Dhakar's best judgment of cost is that Ritz will pay
​$0.40
for each purchased semiconductor plus
​$2
million in vendor development cost.
 
​a) Assuming that Ritz must have the semiconductor​ (stopping or doing without is not a viable​ option), what is the best​ decision?
Now, find the expected cost of the first attempt. To do​ so, multiply the cost of each outcome by its corresponding probability and then sum these values. Recall that if the first attempt is​ good, the cost is
​$3 million
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