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Minimizing shipping costs: -Answer on paper please with indepth detail on how to do the problem-...

Minimizing shipping costs:

-Answer on paper please with indepth detail on how to do the problem-

Singer Motor Corporation manufactures electric motors for battery powered cars in two plants and ships them to two warehouses. The maximum capacities for plant I and plant II are 600 and 800 per week, respectively. For the week, Singer plans to ship atleast 300 motors to warehouse A and at least 400 motors to warehouse B. The shipping costs from plant I to warehouse A and B are $12 and $16, respectively. shipping cost from plant II to warehouse A and warehouse b are $20 and $18 respectively.

How many motors should singer ship from each plant to each warehouse in that week if the shipping costs are to be kept to a minimum? What is the minimum cost?

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Note : Solution is done as per VOGEL APPROXIMATION METHOD so please refer that.

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