MANUFACTURING. Compaids, Inc. manufacturers two types of slide-out keyboard trays for use with personal computers. Model C15 is designed for desktop use. It can stand alone, or it can fit under a desktop CPU or monitor. Model UN8 is designed to be mounted underneath a desk with screws. Both units are manufactured from laminated particle board supplied by SSS Industries and use two slide assemblies purchased from Corrigation, Inc. The following table summarizes the wholesale selling price and requirements for each keyboard tray. Selling Cost of Particle Production Model Price Screws Board Time C15 $11.10 $0.40 8 sq. ft. 4 min. UN8 $12.40 $.0.90 5 sq. ft. 6 min. Each week, SSS can sell Compaids up to 15,000 square feet of laminated particle at $0.40 per square foot, and Compaids can purchase up to 4500 slide assemblies from Corrigation at $0.75 each. Screws are in abundant supply and do not restrict production. Up to five Compaids workers, working eight hours a day, five days of week, can be assigned to the production of the keyboard trays; however, their labor costs are considered sunk costs. a. calculate the unit profit for models C15 & UN8. b. construct, in equation form, the linear programming model that maximizes profit. c. solve for the optimal weekly production quantities, given the limits on laminated particle board, slide assemblies, and production time. SHOW ALL WORK.