How many TVs should be shipped to each warehouse to minimize the cost?

Question by : How many TVs should be shipped to each warehouse to minimize the cost?
A manufacturer of a projection TVs must ship a total of at least 1,000 TVs to its two central warehouses. Each warehouse can hold a maximum of 750 TVs. The first warehouse already has 150 TVs on hand, whereas the second has 50 TVs on hand. It costs $ 8 to ship a TV to the first warehouse, and it costs $ 16 to ship a TV to the second warehouse. How many TVs should be shipped to each warehouse to minimize the cost?

Best answer:

Answer by Iggy Rocko
Ship as many as you can to the first warehouse. Ship the rest to the second warehouse.
The first warehouse can take in 750 – 150 = 600 more tvs. Therefore, ship 400 to the second warehouse. The cost is
600(8) + 400(16) = 4800 + 6400 = $ 11200

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