Expert Answer :Horton Company produces two products, a regular ch

Solved by verified expert :Horton Company produces two products, a regular chair and a deluxe chair. The following exhibit lists the standard selling prices and manufacturing costs for the two products:RegularDeluxeSelling price$300$450CostsDirect materials$100$150Direct labour80125Variable manufacturing overhead2030Fixed manufacturing overhead2522545350Chair profit$75$100The chairs each pass through three departments:1. Preparation, where the pieces of wood that will form the chairs are cut and drilled2. Assembly, where the pieces of wood are fastened together to form the chairs, and3. Finishing, where the chairs are sanded and a finish applied.The following table lists the hours each chair requires of each for the resources and the maximum hours available for each resource.RegularDeluxeSelling price$300$450CostsDirect materials$100$150Required:Write the objective function and the constraints for the linear program assuming HortonCompany wants to choose the production mix that maximizes short-term profits.