(Using the same problem) A vendor for the local ballpark food stand is questioning whether to stock his concession with a large or small inventory. He believes that it will depend upon the size of the crowd. He has developed a payoff matrix for the various alternatives (stocking decision) and states of nature (size of crowd). What is the Expected Monetary Value (EMV)? Alternatives Large Inventory Small Inventory Probability OA) $68,400 O B)-$20,000 OC) $10,000 OD) $51,500 O E) $78,400 Large Crowd $220,000 $90,000 .20 PROFIT (S) Average Crowd $50,000 $70,000 .50 Small Crowd -$2,000 -$5,000 .30

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A vendor for the local ballpark food stand is deciding whether to stock his concession with a large or small inventory, based on crowd size. He has created a payoff matrix for different alternatives (stocking decisions) and states of nature (crowd size). 

**Expected Monetary Value (EMV) Calculation:**

|               | **PROFIT ($)**     |        |        | 
|---------------|------------------|--------|--------|
|               | **Large Crowd** | **Average Crowd** | **Small Crowd** |
| **Alternatives** |                  |               |               |
| Large Inventory | $220,000          | $50,000       | -$2,000       |
| Small Inventory | $90,000           | $70,000       | -$5,000       |
| **Probability** | 0.20              | 0.50          | 0.30          |

**Question:** What is the Expected Monetary Value (EMV)?

- A) $68,400
- B) -$20,000
- C) $10,000
- D) $51,500
- E) $78,400
Transcribed Image Text:A vendor for the local ballpark food stand is deciding whether to stock his concession with a large or small inventory, based on crowd size. He has created a payoff matrix for different alternatives (stocking decisions) and states of nature (crowd size). **Expected Monetary Value (EMV) Calculation:** | | **PROFIT ($)** | | | |---------------|------------------|--------|--------| | | **Large Crowd** | **Average Crowd** | **Small Crowd** | | **Alternatives** | | | | | Large Inventory | $220,000 | $50,000 | -$2,000 | | Small Inventory | $90,000 | $70,000 | -$5,000 | | **Probability** | 0.20 | 0.50 | 0.30 | **Question:** What is the Expected Monetary Value (EMV)? - A) $68,400 - B) -$20,000 - C) $10,000 - D) $51,500 - E) $78,400
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