At its Jacksonville factory, Nolmaur Electronics manufactures 4 models of TV sets: LCD models in 27-, 32-, and 42-in. sizes and a 42-in. plasma model. The manufacturing and testing hours required for each model and available at the factory each week, as well as each model's profit, are shown in the following table.

In addition, the supplier of the amplifier units can provide at most 200 units per week with at most 100 of these for both types of 42-in. models. The weekly demand for the 32-in. sets is at most 120. Nolmaur wants to determine the number of each type of set that should be produced each week to obtain maximum profit.
(a) Carefully identify the variables for Nolmaur's linear programming problem.
(b) Carefully state Nolmaur's linear programming problem.
(c) Solve this linear programming problem to determine Nolmaur's manufacturing plan and maximum profit.

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27-in. 32-in. 42-in. 42-in. Available LCD LCD LCD Plasma Hours 15 Manufacturing (hr) Testing (hr) Profit 10 8 12 10 1870 530 4 4 $80 $120 $160 $200