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Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 19-in. color television picture tubes in two separate locations, location I and location II. The output at location I is at most 6,000 tubes/month, whereas the output at location II is at most 5,000/month. TMA is the main supplier of picture tubes to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3,000 and 4,000 picture tubes to be shipped to two of its factories located in city A and city B, respectively. The shipping costs (in dollars) per picture tube from the two TMA plants to the two Pulsar factories are as follows: Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum.
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