# Chap 3 WE - Worked Examples for Chapter 3 Example for...

This preview shows pages 1–3. Sign up to view the full content.

Worked Examples for Chapter 3 Example for Section 3.1 The Apex Television Company has to decide on the number of 27- and 20-inch sets to be produced at one of its factories. Market research indicates that at most 40 of the 27-inch sets and 10 of the 20-inch sets can be sold per month. The maximum number of work- hours available is 500 per month. A 27-inch set requires 20 work-hours and a 20-inch set requires 10 work-hours. Each 27-inch set sold produces a profit of \$120 and each 20-inch set produces a profit of \$80. A wholesaler has agreed to purchase all the television sets produced if the numbers do not exceed the maxima indicated by the market research. (a) Formulate a linear programming model for this problem. The decisions that need to be made are the number of 27-inch and 20-inch TV sets to be produced per month by the Apex Television Company. Therefore, the decision variables for the model are x 1 = number of 27-inch TV sets to be produced per month, x 2 = number of 20-inch TV sets to be produced per month. Also let Z = total profit per month. The model now can be formulated in terms of these variables as follows. The total profit per month is Z = 120 x 1 + 80 x 2 . The resource constraints are: (1) Number of 27-inch sets sold per month: x 1 40 (2) Number of 20-inch sets sold per month: x 2 10 (3) Work-hours availability: 20 x 1 + 10 x 2 500. Nonnegativity constraints on TV sets produced: x 1 0 x 2 0 With the objective of maximizing the total profit per month, the LP model for this problem is

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Maximize Z = 120 x 1 + 80 x 2 , subject to x 1 40 x 2 10 20 x 1 + 10 x 2 500 and x 1 0, x 2 0. (b) Use the graphical method to solve this model. The constraint,
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

Chap 3 WE - Worked Examples for Chapter 3 Example for...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online