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 |
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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