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c a and b only please The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped

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a and b only please
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities Detroit, Toledo, Denver, or Kansas City. The estimated arvual feed cost and the annual capacity for the four proposed plants are as follows: Proposed Plant Detrat Annual Flared Cost $175,000 $300,000 Annual Capacity 10.000 20,000 30,000 Deriver Kansas City $375,000 $500,000 40,000 The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as follows: Distribution Center Annual Demand Boston 20,000 Atlanta 30,000 Houston 20,000 The shipping cost per unit from each plant to each distribution center is as follows: Distribution Centers Plant Site Boston Atlanta Houston Detroit 5 2 3 Toledo 4 Denver 9 W NA Kansas City 10 St. Louis 8 (a) Develop a mixed-integer programming model that could be used to help Martin Heck determine which new planter plants to open in order to satisfy anticipated derard Solve the model and answer the following questions. What is the optimal cost? What is the optimal set of plants to open? Select your answer (D) Ling equation 12.1. find a second-best solution. What is the optimal set of plants to open? Select your answers What is the increase in cost versus the best solution from part(a)? The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities Detroit, Toledo, Denver, or Kansas City. The estimated arvual feed cost and the annual capacity for the four proposed plants are as follows: Proposed Plant Detrat Annual Flared Cost $175,000 $300,000 Annual Capacity 10.000 20,000 30,000 Deriver Kansas City $375,000 $500,000 40,000 The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as follows: Distribution Center Annual Demand Boston 20,000 Atlanta 30,000 Houston 20,000 The shipping cost per unit from each plant to each distribution center is as follows: Distribution Centers Plant Site Boston Atlanta Houston Detroit 5 2 3 Toledo 4 Denver 9 W NA Kansas City 10 St. Louis 8 (a) Develop a mixed-integer programming model that could be used to help Martin Heck determine which new planter plants to open in order to satisfy anticipated derard Solve the model and answer the following questions. What is the optimal cost? What is the optimal set of plants to open? Select your answer (D) Ling equation 12.1. find a second-best solution. What is the optimal set of plants to open? Select your answers What is the increase in cost versus the best solution from part(a)

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