## Related questions with answers

TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location 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 Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for at most 3000 and at most 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 | To Pulsar Factories | |
---|---|---|

From TMA | City $a$ | City $b$ |

Location I | $\$ 6$ | $\$ 4$ |

Location II | $\$ 8$ | $\$ 10$ |

Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum.

Solution

VerifiedUse the same approach as in Applied Example 3.

Let x represent the number of TVs shipped from Location I to City A,

and let y represent the number of TVs shipped from Location I to City B,

Sketch a diagram similar to the one below,

interpreting the text mentioning

... at most 3000 and at most 4000 to be shipped to cities A and B, respectively:

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