Present the algebraic models by defining variables and formulating objective functions and constraints!!!!!

A local real estate investor in Orlando is considering three alternative investments: a motel, a res$-$

taurant, or a theater. Profits from the motel or restaurant will be affected by the availability of

gasoline and the number of tourists; profits from the theater will be relatively stable under any con$-$

ditions. The following payoff table shows the profit or loss that could result from each investment:

Determine the best investment, using the following decision criteria.

a$.$ Maximax

b$.$ Maximin

c$.$ Minimax regret

d$.$ Hurwicz $(=\mathrm{.}4)$

e$.$ Equal likelihood