$7($Product mix$)$ Electrocomp's management realizes that it forgot to include two critical constraints $($see Problem $2-28),$ In particular, management decides that to ensure an adequate supply of air conditioners for a contract, at least $50$ air conditioners should be manufactured. Because Electrocomp incurred an oversupply of fans in the preceding period, management also insists that no more than $30$ fans be produced during this production period. Resolve Electrocomp's problem to find the new optimal solution. Note: Solve using SOLVER.