Question: Linear Programming

RCA has a contract to supply 27-inch televisions to a national chain of stores specializing in electronic equipment. This contract calls for RCA to supply the numbers of TVs shown here. It costs RCA $100 to manufacture a TV in September or October; however because of an increase in labor costs, manufacturing costs will increase to $110 in November. RCA can manufacture more than it needs in any month, although the maximum production in any month is 1500 units. The cost of storing a TV is $10/month. That is, if a TV is made in October and shipped in November, the cost of storing the set for one month is $10. Find the optimal production schedule for RCA.

Month September October November December

Demand 800 1000 1400 1600