Reference no: EM131669253 
                                                                               
                                       
Question: 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:

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) 1 $0.15(36,000 2 36,000) 5 $10,764 if she  drives 12,000 miles per year, 36($299) 1 $0.15(45,000 2 36,000) 5  $12,114 if she drives 15,000 miles per year, or 36($299) 1 $0.15(54,000 2  36,000) 5 $13,464 if she drives 18,000 miles per year.
a. What is the decision, and what is the chance event?
b. Construct a payoff table for Amy's problem.
c.  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?
d.  Suppose that the probabilities that Amy drives 12,000, 15,000, and  18,000 miles per year are 0.5, 0.4, and 0.1, respectively. What option  should Amy choose using the expected value approach?
e. Develop a risk profile for the decision selected in part d. What is the most likely cost, and what is its probability?
f.  Suppose that, after further consideration, Amy concludes that the  probabilities that she will drive 12,000, 15,000, and 18,000 miles per  year are 0.3, 0.4, and 0.3, respectively. What decision should Amy make  using the expected value approach?