1 Problem 2. 2 AVA, Inc. wants to determine the amount of each of two products to produce over the coming planning period. 3 The following information regarding labor availability, labor 4 utilization, and product profitability are shown below. a. Develop a linear programming model of SABA, Inc.'s problem. Solve the model to determine the optimal production quantities of products 1 and 2. b. Suppose that 40,30 , and 20 hours of overtime may be scheduled in departments A,B, and C, respectively. The cost per hour of overtime is $15 in department A,$20 in department B, and $30 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. Solve your model and find the optimum solution. 1 Problem 2. 2 AVA, Inc. wants to determine the amount of each of two products to produce over the coming planning period. 3 The following information regarding labor availability, labor 4 utilization, and product profitability are shown below. a. Develop a linear programming model of SABA, Inc.'s problem. Solve the model to determine the optimal production quantities of products 1 and 2. b. Suppose that 40,30 , and 20 hours of overtime may be scheduled in departments A,B, and C, respectively. The cost per hour of overtime is $15 in department A,$20 in department B, and $30 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. Solve your model and find the optimum solution