Explanation Given: Inequalities are as follows: 2 x 1 + x 2 + 2 x 3 ≤ 50 (I) x 1 + 3 x 2 + x 3 ≥ 35 (II) x 1 + 2 x 2 ≥ 15 (III) Explanation: Slack variable is the variable that is added to less than or equal to ( ≤ ) type inequality in order to get a constraint. The surplus variable is the variable that is added to greater than or equal to ( ≥ ) type inequality in order to get a constraint. The surplus variable is also known as a negative slack variable. Add slack variable (say s 1 ) to equation (I) As a result, 2 x 1 + x 2 + x 3 + s 1 = 50 Now, add a surplus variable (say − s 2 ) to equation (II): x 1 + 3 x 2 + x 3 − s 2 = 35 Add a surplus variable (say − s 3 ) to equation (III):

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 4.4, Problem 3E

To determine

To rewrite: each system of inequalities as a system of linear equations by adding slack variable or by subtracting surplus variable.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.4, Problem 2E

Chapter 4.4, Problem 4E

Students have asked these similar questions

At the beginning of year 1, you have $10,000. Investments A and B are available; their cash flows per dollars invested are shown in the table below. Assume that any money not invested in A or B earns interest at an annual rate of 2%. a. What is the maximized amount of cash on hand at the beginning of year 4.$ ___________ A B Time 0 -$1.00 $0.00 Time 1 $0.20 -$1.00 Time 2 $1.50 $0.00 Time 3 $0.00 $1.90

7. The demand for a product, in dollars, is p = D(x) = 1000 -0.5 -0.0002x² 1 Find the consumer surplus when the sales level is 200. [Hints: Let pm be the market price when xm units of product are sold. Then the consumer surplus can be calculated by foam (D(x) — pm) dx]

2. Claim events on a portfolio of insurance policies follow a Poisson process with parameter A. Individual claim amounts follow a distribution X with density: f(x)=0.0122re001, g>0. The insurance company calculates premiums using a premium loading of 45%. (a) Derive the moment generating function Mx(t).

Chapter 4 Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 2E Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 4E Ch. 4.1 - For Exercises 5-8. (a) determine the number of...Ch. 4.1 - Prob. 6E Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - Introduce slack variables as necessary, then...Ch. 4.1 - Introduce slack variables as necessary, then write...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

To rewrite: each system of inequalities as a system of linear equations by adding slack variable or by subtracting surplus variable.

Solution Summary: The author explains how to rewrite each system of inequalities as a linear equation by adding slack variable or subtracting surplus variable.

Videos

To rewrite: each system of inequalities as a system of linear equations by adding slack variable or by subtracting surplus variable.

Want to see the full answer?

Chapter 4 Solutions