The proprietor of the newly built White Mountain Ski and Swim Lodge has been considering purchasing or leasing several snowmobiles for the use of guests. The owner found that other financial obligations made it impossible to purchase the machines. Snowmobiles Incorporated (SI) will lease a machine for $20 a week, including any needed maintenance. According to SI, the usual rental charge to the guests of the lodge is $25 a week. Gasoline and oil are extra. Snowmobiles Incorporated only leases a machine for the full season. The proprietor of Ski and Swim, knowing that leasing an excessive number of snowmobiles might cause a net loss for the lodge, investigated the records of other resort owners. The combined experience at several other lodges was found to be:

Number of Snowmobiles Demanded by Guests..................................................... Number of Weeks

7 ..........................................................................................................................................10
8.......................................................................................................................................... 25
9.......................................................................................................................................... 45
10........................................................................................................................................ 20

a. Design a payoff table.
b. Compute the expected profits for leasing 7, 8, 9, and 10 snowmobiles based on the cost of leasing of $20, the rental charge of $25, and the experience of other lodges.
c. Which alternative is the most profitable?
d. Design an opportunity loss table.
e. Find the expected opportunity losses for leasing 7, 8, 9, and 10 snowmobiles.
f. Which act would give the least expected opportunity loss?
g. Determine the expected value of perfect information.
h. Suggest a course of action to the proprietor of the Ski and Swim Lodge. Include in your explanation the various figures, such as expected profit.