Julie is the marketing manager for a small software company based in Boston. She is plan...

Julie is the marketing manager for a small software company based in Boston. She is planning a sales trip to Michiganto visit customers in each of the nine cities shown on themileage chart in Fig. 6-55. She can fly from Boston to anyone of the cities and fly out of any one of the cities back toBoston for the same price (call the arrival city A and thedeparture city D). Her plan is to pick up a rental car at A,drive to each of the other cities, and drop off the rental carat the last city D. Slightly complicating the situation is thatMichigan has two separate peninsulas—an upper peninsulaand a lower peninsula—and the only way to get from one tothe other is through the Mackinaw Bridge connecting Cheboygan to Sault Ste. Marie. (There is a $3 toll to cross thebridge in either direction.)

(a) Suppose that the rental car company charges 39 centsper mile plus a drop off fee of $250 if A and D are different cities (there is no charge if A = D). Find the optimal (cheapest) route and give the total cost.

(b) Suppose that the rental car company charges 49 centsper mile but the car can be returned to any city withouta drop off fee. Find the optimal route and give the totalcost.