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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 5600 televisions/month,

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 5600 televisions/month, whereas the output at Location II is at most 4600 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 2700 and 3900 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 $7 $4
Location II $8 $10

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, C (in dollars), to a minimum.

Minimize C =

ubject to the constraints
Location I production

Location II production
Location II to City A shipping

Location II to City B shipping

Location I to City A shipping x 0
Location I to City B shipping y 0

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