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6. A car dealer is offering the following three two-year leasing options: Plan Fixed Monthly Payment Additional Cost Per Mile I $200 $0.095 per mile.

6. A car dealer is offering the following three two-year leasing options:

Plan Fixed Monthly Payment Additional Cost Per Mile

I $200 $0.095 per mile.

II $300 $0.061 for the first 6,000 miles; $0.050 thereafter.

III $170 $0.000 for the first 6,000 miles; $0.14 per mile thereafter.

Assume that a customer expects to drive between 15,000 to 35,000 miles during the next two years according to the following probability distribution:

P(driving 15,000 miles) 0.1

P(driving 20,000 miles) 0.2

P(driving 25,000 miles) 0.2

P(driving 30,000 miles) 0.3

P(driving 35,000 miles) 0.2

a. Construct a payoff matrix for this problem.

b. What decision should be made according to the maximax decision rule? (Keep in mind that the "payoffs" here are costs, where less is better.)

c. What decision should be made according to the maximin decision rule?

d. What decision should be made according to the minimax regret decision rule?

e. What decision should be made according to the EMV decision rule?

f. What decision should be made according to the EOL decision rule?

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