A manager has compiled estimated costs for various capacity alternatives but is reluctant to assign probabilities to the states

of nature. Assuming the values in the payoff table are estimated costs and the goal is to minimize expected costs.

a$.$ Is there any alternative that would never be appropriate in terms of minimizing expected cost?

Alternative A

Alternative $B$

Alternative $C$

None

b$.$ For what range of $P(2)$ would alternative A be the best choice if the goal is to minimize expected cost?

Choose Alternative A for Number $2)$

c$.$ For what range of $P(1)$ would alternative A be the best choice if the goal is to minimize expected cost?

Choose Alternative A for Number $1)$