Consider the following linear programming problem An electro

Consider the following linear programming problem: An electronics company manufactures two types of computers, a standard model and a portable model. The production of a standard computer requires a capital expenditure of $400, 40 hours of labor, and contributes a profit of $320. The production of a portable computer requires a capital expenditure of $250, 30 hours of labor, and contributes a profit of $220. The company has $20,000 capital and 2,160 labor-hours available for production of standard and portable computers. The company would like to linear programming to determine how many of each model to produce in order to maximize profit.

a.) Define variables and write the objective function.

b.) Write all of the constraints (inequalities) for this problem. DO NOT solve the problem.

Solution

Let no. of std computers be x

Let no. of portable computers be y

Objective function: Profit function , P(x, y) = 320x + 220y

So, Total Capital :

400x + 250y < = $20,000

Labor hours : 40x + 30y <= 2160