3. A manufacturing company produces products 1, 2, and 3. The three products have the following resource requirements and produce the following profit: Product Labor (hr. /unit) Material (lb./unit) Prot ($/unit) 1 5 4 $3 2 2 6 5 3 4 3 2 At present, the rm has a daily labor capacity of 240 available hours and a daily supply of 400 pounds of material. The general linear programming formulation for this problem is as follows: maximize 33:1 + 5.732 + 2503 subject to 5531 + 2932 + 4:123 g 240 4.1.\"1 + 6.732 + 35173 S 400 331,332,333 20 Management has developed the following set of goals, arranged in order of their importance to the rm: (1) Because of recent labor relations di'iculties, management wants to avoid underutilization of normal production capacity. (2) Management has established a satisfactory prot level of $500 per day. (3) Overtime is to be minimized as much as possible. (4) Management wants to minimize the purchase of additional materials to avoid handling and storage problems. Formulate a goal programming model to determine the number of each product to produce to best satisfy the goals