## Related questions with answers

"Amy Lloyd is interested in leasing a new Honda and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow:

$\begin{aligned} &\text { Cost per }\\ &\begin{array}{lccc} {\text { Dealer }} & \text { Monthly Cost } & \text { Mileage Allowance } & \text { Additional Mile } \\ \text { Hepburn Honda } & \$ 299 & 36,000 & \$ 0.15 \\ \text { Midtown Motors } & \$ 310 & 45,000 & \$ 0.20 \\ \text { Hopkins Automotive } & \$ 325 & 54,000 & \$ 0.15 \end{array} \end{aligned}$

Amy decided to choose the lease option that will minimize her total 36 -month cost. The difficulty is that Amy is not sure how many miles she will drive over the next three years. For purposes of this decision, she believes it is reasonable to assume that she will drive 12,000 miles per year, 15,000 miles per year, or 18,000 miles per year. With this assumption Amy estimated her total costs for the three lease options. For example, she figures that the Hepburn Honda lease will cost her $36(\$ 299)+\$ 0.15(36,000-36,000)=\$ 10,764$ if she drives 12,000 miles per year, 36( $\$ 299)+\$ 0.15(45,000-36,000)=\$ 12,114$ if she drives 15,000 miles per year, or $36(\$ 299)+\$ 0.15(54,000-36,000)=\$ 13,464$ if she drives 18,000 miles per year.

If Amy has no idea which of the three mileage assumptions is most appropriate, what is the recommended decision (leasing option) using the optimistic, conservative, and minimax regret approaches?"

Solution

Verified**c)** In **Optimistic approach** we choose decision with the largest possible payoff. According to the payoff table from part b, the recommended decision is **Herburn Honda**.

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