(@) TCM = $12A + $21B (1) 1A + 2B S 400 or 2A + B $ 200 (C) 1A+B S 150 or 3A+B$ 450 (d) AS 175 (e) A. B20 h40 10.16 The Tripco Company produces and sells three products hereafter referred to as products A, B, and C. The company is currently changing its short-range planning approach in an attempt to incorporate some newer planning techniques. The controller and some of her staff have been conferring with a consultant on the feasibility of using a linear programming model for determining the optimum product mix. Information for short-range planning has been developed in the same format as in prior years. This information includes expected sales prices and expected direct labor and material costs for each product. In addition, variable and fixed overhead costs were assumed to be the same for each product because approximately equal quantities of the products were produced and sold. Price and Cost Information (per unit) A B Selling price $25.00 $30.00 $40.00 Direct labor 7.50 10.00 12.50 Direct materials 9.00 6,00 10.50 Variable overhead 6.00 6,00 6.00 Fixed overhead 6.00 6,00 6.00 All three products use the same type of direct material, which costs $1.50 per pound of material. Direct labor is paid at the rate of $5.00 per direct labor hour. There are 2,000 direct labor hours and 20.000 pounds of direct materials available in a month. 1. Formulate and label the linear programming objective function and constraints necessary to maximize Tripro's contribution margin. Use Ox. Q. and Qc to represent units of the three products 2. What underlying assumptions must be satisfied to justify the use of linear programming