TMA manufactures 37-in. high definition LCD televisions in twoseparate locations, Locations I and II. The output at Location I isat most 6000 televisions/month, whereas the output at Location IIis at most 5000 televisions/month. TMA is the main supplier oftelevisions to the Pulsar Corporation, its holding company, whichhas priority in having all its requirements met. In a certainmonth, Pulsar placed orders for 3000 and 4000 televisions to beshipped to two of its factories located in City A and City B,respectively. The shipping costs (in dollars) per television fromthe two TMA plants to the two Pulsar factories are as follows.
From TMA | City A | City B |
Location I | $5 | $3 |
Location II | $7 | $8 |
TMA will ship x televisions from Location I to cityA and y televisions from Location I to cityB. Find a shipping schedule that meets the requirements ofboth companies while keeping costs to a minimum.