Problem 2. AVA, Inc. wants to determine the amount of each of two products to produce over the coming planning period. The following information regarding labor availability, labor utilization, and ptoduct profitability are shown below. Required Time (minutes/unit) Department Product 1 Product two Labor - Hours Available A 152550083020400 C 1040300 Profit contribution/unit $60.00$50.00 a. Develop a linear programming model of $ABA, Inc:'s problem. Solve the model to deteimine the optimal production quantities of products 1 and 2.6. 5 uppose that 40 , 30 , and 20 hours of overtime may be scheduled in departments A,B, and C1, respectively. The cost per haur of overtime is $15 in department A, $20 in department B, and 530 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