Your potential profit for various purchase levels under


You are the owner/operator of a medical electronics firm in the early stages of operation. You have just concluded a deal with an Asian manufacturer of hand-held blood glucose measuring devices bearing your brand name. You can market this receiver at a highly competitive price.

Your potential profit for various purchase levels under each of the five possible market conditions is shown in the table below.

POTENTIAL PROFIT TABLE Market condition categories

Quantity

1

2

3

4

5

10000

100

110

120

135

140

15000

90

120

140

155

170

20000

85

110

135

160

175

25000

80

120

155

170

180

30000

65

100

155

180

195

35000

50

100

160

190

210

40000

45

95

170

200

230

45000

30

90

165

230

245

50000

20

85

160

270

295

With no knowledge of the probabilities, how much would you stock? Why? If you think each scenario is equally likely what would be the best stocking policy?

In an effort to reach a decision on purchase and stocking you have obtained the following information from a compilation of reports and articles in trade journals. You classified the market in five categories from worst to best (1-5). Probabilities for having each category of market were estimated as follows:

Category 1. .10

2. .20

3. .50

4. .10

5 .10

a. Given this information, what would be the best stocking policy?

b. What is the expected value of perfect information for this situation?

c. If new information causes you to revise the probabilities for market condition 2 to .28 and market condition 5 to .02 would you change your decision? If so, how would you change it?

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Engineering Mathematics: Your potential profit for various purchase levels under
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