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RANGES ON OBJECTIVE FUNCTION COEFFICIENTS Variable Lower Limit Present Value Upper Limit X) -00 4.0 7.0 X2 0 2.0 10.0 X3 3.0 5.0 Using the above information answer the following questions: a. c. Because of an increase in the cost of raw material used for product C, its unit profit drops to $4. Determine the new optimal solution and the maximum profit. b. Suppose it is possible to increase the capacity of one of the machines. Which one would you recommend for expansion and why? Due to an improvement in product design, the unit profit on product A can be increased to $6. Is it worthwhile producing product A now? Explain. d. Suppose that the capacity of machine 2 can be increased by another 200 minutes at a cost of $250. Is it economical to do so? Explain e. Because of an increase in the cost of energy for operating the machines, the unit profits of A, B, and C decrease by $2.0, $0.5, and $1.0, respectively. How will it affect the optimal solution and maximum profit? RANGES ON OBJECTIVE FUNCTION COEFFICIENTS Variable Lower Limit Present Value Upper Limit X) -00 4.0 7.0 X2 0 2.0 10.0 X3 3.0 5.0 Using the above information answer the following questions: a. c. Because of an increase in the cost of raw material used for product C, its unit profit drops to $4. Determine the new optimal solution and the maximum profit. b. Suppose it is possible to increase the capacity of one of the machines. Which one would you recommend for expansion and why? Due to an improvement in product design, the unit profit on product A can be increased to $6. Is it worthwhile producing product A now? Explain. d. Suppose that the capacity of machine 2 can be increased by another 200 minutes at a cost of $250. Is it economical to do so? Explain e. Because of an increase in the cost of energy for operating the machines, the unit profits of A, B, and C decrease by $2.0, $0.5, and $1.0, respectively. How will it affect the optimal solution and maximum profit