Labor-Hours Required (hours/unit) Department Product 1 Product 2 Hours Available 1.00 0.35 100 B 0.30 0.20 38 0.20 0.50 50 Profit contribution/unit $30.00 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to de products 1 and 2 If required, round your answer to two decimal places. Product 1 Product 2 Production 75.58 69.77 (b) In computing the profit contribution per unit, management does not deduct labor costs because planning period. However, suppose that overtime can be scheduled in some of the departments. scheduling for overtime? Dept A What is the upper limit of what you would be willing to pay per hour of overtime in the departmen If required, round your answer to two decimal places, 27.9 la Sunnose that 10.6, and 8 hours of overtime may be scheduled In departments A B, and C, respec (c) Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A. $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? If required, round your answer to two decimal places. Product 1 Product 2 Production If required, round your answer to nearest whole number Total Profits How much overtime do you recommend using in each department? If required, round your answer to two decimal places. If you answer is zero, enter 01 OT hours: Dept. Used A 3 B 5338 What is the increase in the total contribution to profit if overtime is used? If required, round your answer to nearest whole number