Electrocomp's management realizes that it forget include two critical constraints $($see Problem $7-14$ particular, management decides that there should be a minimum number of air conditioners produced in order to fulfill a contract. Also, due to an oversa of fans in the preceding period, a limit should placed on the total number of fans produced.

$($a$)$ If Electrocomp decides thats Preast $20$ airc ditioners should be produced but no more than $80$ fans should be produced, what would be the optimal solution? How much slack is there & each of the four constraints?

b$)$ If Electrocomp decides that at least $30$ air con$-$ ditioners should be produced but no more than $50$ fans should be produced, what would be the op$-$ timal solution? How much slack is there for each of the four constraints at the optimal solution?