Chapter 3.3, Problem 49E

MINIMIZING SHIPPING COSTS TMA manufactures $37\text{-in}\text{.}$ high –definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most $6000\text{televisions}/\text{month},$ whereas the output at Location II is at most $5000\text{televisions}/\text{month}$. 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 order 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
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.