Following questions demonstrate the use of linear programming (LP): Belmont Co. manufactures and sells two products, shirts and gloves, in its two- department plant. Belmont employs linear programming to determine its optimum product mix based on total contribution margin. Economic data pertaining to the two products are presented below. Shirt[S] Gloves[G] Selling price per unit $22 $40 Cost data per unit Variable manufacturing cost 8 12 Variable marketing cost 2 4 Fixed manufacturing cost 5 9 Fixed marketing cost 1 2 Direct Labor Data Cutting Finishing Shirt [S] 12 minutes 15 minutes Gloves [G] 6 minutes 30 minutes Monthly capacity 960 hours 1,920 hours 1. What is the algebraic formulation of Belmont's objective function? 2. What are the algebraic formulations of Belmont's direct labor constraints? 3. What is the optimal product mix solution for Belmont? 4.The solution where S = 0 and G = 3,000 would: a. be the optimal solution. b. be an infeasible solution. c. be a corner point. d. be a feasible solution.