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What is the minimum total cost solution

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Chicago Manufacturing has production capacity of 500 . It has unit production cost of $79.  Detroit Manufacturing has a production capacity of 700. Ir has unit production cost of $80. Pittsburgh Manufacturing has a production capacity of 450. It has unit production cost of $77. Richmond Manufactuing has a production capacity of 450. It has unit production cost of $65.

Louisville warehouse has demand for 200 units.

Charlotte warehouse has demand for 300 units.

Kansas City warehouse has demand for 100 units.

Atlanta warehouse has demand for 400 units.

Birmingham warehouse has demand for 350 units.

New Orleans warehouse has demand for 350 units.

Albuquerque warehouse had demand for 200 units.

Louisville Charlotte Kansas City Atlanta Birmingham New Orleans Albuquerque

Chicago 12 18 17 20 20 22 26

Detroit 13 15 18 17 20 24 28

Pittsburgh 20 12 24 20 21 24 30

Richmond 21 12 25 15 16 22 30

a. What is the minimum total cost solution?

b. What is the total production cost in Detroit?

c. What is the total units shipped from Pittsburgh to Birmingham?

d. At least 50 units must be shipped from Detroit to each location. Total demand at each location remains the same. What is the revised total minimum cost?

Reference no: EM132698548

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