TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) = 2000,4000 What is the minimum cost?
TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows.
To Pulsar Factories | ||
---|---|---|
From TMA | City A | City B |
Location I | $6 | $3 |
Location II | $7 | $8 |
TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping
(x, y) | = |
2000,4000
|
What is the minimum cost?
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