$=$A manager has learned that annual profits from four alternatives being considered for solving a

capacity problem are projected to be $$15,000$ for A$,$ $$30,000$ for B$,$ $$45,000$ for C$,$ and $$60,000$ for D

if state of nature $1$ occurs; and $$60,000$ for A$,$ $$80,000$ for B$,$ $$90,000$ for C$,$ and $$35,000$ for D if state

of nature $2$ occurs.

a$.$ Assuming maximax is used, what alternative would be chosen? Choose alternative C $($$$90,000).$

b$.$ Assuming maximin is used, what alternative would be chosen? Choose alternative C $($$$45,000).$