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The Islander Fishing Company purchases clams for K1.50 per pound from fishermen and sells them to...

The Islander Fishing Company purchases clams for K1.50 per pound from fishermen and sells them to various restaurants for K2.50 per pound. Any clams not sold to the restaurants by the end of the week can be sold to a local soup company for K0.50 per pound. The company can purchase 500, 1,000, or 2,000 pounds. The probabilities of various levels of demand are as follows:

Demand (Pounds)

Probability

500

1,000

2,000

0.2

0.4

0.4

(a)          For each possible purchase level (500, 1,000, or 2,000 pounds), compute the profit (or loss) for each level of demand.                         

(b)          Determine the optimal action based on the maximax criterion.                           

(c)           Determine the optimal action based on the maximin criterion.                            

(d)          Using the expected monetary value (EMV) criterion, determine the optimal number of pounds of clams the    company should purchase from the fishermen. Discuss.   

(e)          Compute the standard deviation for each possible purchase level.

(f)           Compute the expected opportunity loss (EOL) for purchasing 500, 1,000, and 2,000 pounds of clams.                                  

(g)          Explain the meaning of the expected value of perfect information (EVPI) in this problem.

(h)          Compute the coefficient of variation for purchasing 500, 1,000, and 2,000 pounds of clams. Discuss.                                   

(i)            Compute the return-to-risk ratio (RTRR) for purchasing 500, 1,000, and 2,000 pounds of clams. Discuss.                                   

(j)           Based on (d) and (f), would you choose to purchase 500, 1,000, or 2,000 pounds of clams? Why?                                              

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Expert Solution

jeff jeffy answered 1 year ago
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