At its Jacksonville factory, Nolmaur Electronics manufactures 4 models of TV sets: LCD models in 32-, 42-, and 50-in. sizes and a 65-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 for the 50- and 65-in. models. The weekly demand for the 42-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) Identify the variables for Nolmaur’s linear programming problem.

(b) 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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32-in. 42-in. 50-in. 65-in. Available LCD LCD LCD Plasma Hours Manufacturing 8 (hr) Testing (hr) 10 12 15 1870 2 4 4 4 530 Profit $80 $120 $160 $200