For a new development area, a local investor is considering three alternative real estate investments: a hotel, a restaurant, and a convenience store. The hotel and the convenience store will be adversely or favorably affected depending on their closeness to the location of gasoline stations, which will be built in the near future. The restaurant will be assumed to be relatively stable. The payoffs for the investment are as follows:

Determine the best plan by each of the following criteria:

a. Laplace.
b. Maximin.
c. Maximax.
d. Coefficient of optimism (assume that x = 0.45)
e. Regret (minimax).