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Beverly Milles has decided to lease a hybrid car to save on gasoline expenses and to do her part to help keep the environment clean. The car she selected is available from only one dealer in the local area, but that dealer has several leasing options to accommodate a variety of driving patterns. All the leases are for 3 years and require no money at the time of signing the lease. The first option has a monthly cost of $330, a total mileage allowance of 36,000 miles (an average of 12,000 miles per year), and a cost of $0.35 per mile for any miles over 36,000. The following table summarizes each of the three lease options:

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Beverly has estimated that, during the 3 years of the lease, there is a 40% chance she will drive an average of 12,000 miles per year, a 30% chance she will drive an average of 15,000 miles per year, and a 30% chance that she will drive 18,000 miles per year. In evaluating these lease options, Beverly would like to keep her costs as low as possible.

(a) Develop a payoff (cost) table for this situation (10 points

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Final answer:

The payoff table for lease options includes the monthly cost, mileage allowance, and extra mileage charges. The costs for each driving pattern are calculated based on the lease options and mileage driven per year.

Step-by-step explanation:

Payoff Table for Lease Options

  • Option 1: $330 per month, 36,000-mile allowance, $0.35 per mile for any miles over 36,000
  • Option 2: $400 per month, 45,000-mile allowance, $0.30 per mile for any miles over 45,000
  • Option 3: $480 per month, unlimited mileage

Costs for Each Driving Pattern

  • 40% chance of driving 12,000 miles per year: Option 1 = $330 x 3 years = $990
  • 30% chance of driving 15,000 miles per year: Option 1 = $330 x 3 years = $990, Option 2 = $400 x 3 years = $1,200
  • 30% chance of driving 18,000 miles per year: Option 1 = $330 x 3 years + $0.35 x (18,000 - 36,000) = $990, Option 2 = $400 x 3 years, Option 3 = $480 x 3 years

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