A manager is trying to decide whether to build a compact, hybrid or hi$-$tech facility. Demand can be

high, average, or low, with the estimated probabilities being $0\mathrm{.}2,0\mathrm{.}45,$ and $0\mathrm{.}35,$ respectively. The

following payoff table has been created to help with the decision:

Decision High Demand Average Demand Low Demand

Compact Facility $$95,000$ $$105,000$ $$95,000$

Hybrid Facility $$155,000$ $$145,000$ $$75,000$

Hi$-$tech Facility $$185,000$ $$115,000$ $$50,000$

Which alternative is the best, according to each of the following decision criteria?

a$.$ Maximin

b$.$ Maximax

c$.$ Laplace

d$.$ Minimax regret

e$.$ Expected valu