Chapter 4, Problem 41RE

Profit 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 models profit, are shown in the following table.

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

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.