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A group of investors wants to open up a jewelry store in a new shopping center. The investors are trying to decide whether to stock

A group of investors wants to open up a jewelry store in a new shopping center. The investors are trying to decide whether to stock the store with expensive jewelry, medium-priced jewelry, or inexpensive jewelry. The probability of their choice depends upon the economic conditions. The payoff table below gives the anticipated monthly profits (in $) for different states of the economy. The probability of prosperity is 0.4.

Decision Alternative States of Nature
Prosperity Recession
Expensive 19,000

4,000

Medium 11,000 3,000
Inexpensive 4,000 10,000

(a)Determine the expected value (in $) of each alternative.

EV(Expensive)=$

EV(Medium)=$

EV(Inexpensive)=$

Indicate which decision alternative is the best: Expensive, Medium or Inexpensive

(b)Determine the expected value with perfect information (in $) about the states of nature.$

(c)Determine the expected value of perfect information (in $).

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