Question: Module 3 q8 Please help! Will upvote, just put answers in BOLD lettering. Use any method. Does not specify! The Martin-Beck Company operates a plant

Module 3 q8Module 3 q8 Please help! Will upvote, just putModule 3 q8 Please help! Will upvote, just putModule 3 q8 Please help! Will upvote, just putPlease help! Will upvote, just put answers in BOLD lettering. Use any method. Does not specify!

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. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let Y 1 = 1 if a plant is constructed in Detroit; O if not Y2 = 1 if a plant is constructed in Toledo; o if not Y3 = 1 if a plant is constructed in Denver; 0 if not 44 = 1 if a plant is constructed in Kansas City; O if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. = the units shipped in thousands from plant i to distribution center i X i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and j = 1 (Boston), 2 (Atlanta), 3 (Houston) The complete model for the Martin-Beck distribution system design problem is as follows. Min + 4% 42 5X 11 + 2x12 + 3x13 + 4x21 + 3X22 + 4X23 + 9x31 + 7X32 + 5x 33 + 10X41 + 2X 43 + 8X51 + 4% 52 + 3x53 + 175y1 + 30042 + 375y3 + 50074 s.t. X 11 + 12 + X 13 S 1071 Detroit capacity X21 + X22 + X23 s 2072 Toledo capacity X31 + X32 + X 33 s 303 Denver capacity X41 +42 + X43

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