A company has 4 manufacturing plants for a given product and six major markets. The company has calculated the net profit Cij of producing good at location i and selling it in market j. These Net Profits are shown in the table below. Supply of The Plants Demand of The Markets: Please solve the Problem in Gams and answer the following questions: (a) What is the optimal way for the company to produce and sell its product? [Hint: Remember that the company is a profit maximizer.] (b) What is the interpretation of the dual variables? (c) Which plant (if any) would you recommend expanding? (d) Which plant (if any) would you recommend reducing in size? (e) Which sales territory is the most profitable? (f) Which sales territory is the least profitable? A company has 4 manufacturing plants for a given product and six major markets. The company has calculated the net profit Cij of producing good at location i and selling it in market j. These Net Profits are shown in the table below. Supply of The Plants Demand of The Markets: Please solve the Problem in Gams and answer the following questions: (a) What is the optimal way for the company to produce and sell its product? [Hint: Remember that the company is a profit maximizer.] (b) What is the interpretation of the dual variables? (c) Which plant (if any) would you recommend expanding? (d) Which plant (if any) would you recommend reducing in size? (e) Which sales territory is the most profitable? (f) Which sales territory is the least profitable