Electrocomp management realizes that it forgot to include two fundamental constraints (see Problem 7-14). In particular, management decides that there should be a minimum number of air conditioner units produced in order to fulfill a contract. Also, due to an oversupply of fans in the previous period, a limit should be placed on the total number of fans produced.

a) If Electrocomp decides that at least 20 air conditioners should be manufactured, but no more than 80 fans, what would be the optimal solution? How much slack is there for each of the four constraints? b) If Electrocomp decides that at least 30 air conditioners should be manufactured, but no more than 50 fans, what would be the optimal solution? How much slack is there in each of the four constraints in the optimal solution?