Question

You are considering adding a new food product to your store for resale. You are certain...

You are considering adding a new food product to your store for resale. You are certain that, in a month, minimum demand for the product will be 6 units, while maximum demand will be 8 units. (Unfortunately, the new product has a one-month shelf life and is considered to be waste at the end of the month.) You will pay $60/unit for this new product while you plan to sell the product at a $40/unit profit. The estimated demand for this new product in any given month is 6 units(p=0.1), 7 units(p=0.4), and 8 units(p=0.5). Using EMV analysis, how many units of the new product should be purchased for resale?

Question 13: Using EMV analysis, how many units of the new product should be purchased for resale?

A.

purchase 5

B.

purchase 6

C.

purchase 7

D.

purchase 8

E.

purchase 9

What is the maximum EMV of profit you can make?

A.

240

B.

250

C.

260

D.

270

E.

300

Homework Answers

Answer #1

A13. C. Using EMV analysis, the number of  units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

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