Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

D 5.3-5. Consider the following problem. Maximize Z = CI*1 + C2*2 + C3X3, subject to x, + 2x2 + x3 5 b 2x1 +

image text in transcribed
D 5.3-5. Consider the following problem. Maximize Z = CI*1 + C2*2 + C3X3, subject to x, + 2x2 + x3 5 b 2x1 + x2 + 3x3 - 2b and x1 2 0, X2 2 0, X3 2 0. Note that values have not been assigned to the coefficients in the objective function (C1, C2, C3), and that the only specification for the right-hand side of the functional constraints is that the second one (2b) be twice as large as the first (b). Now suppose that your boss has inserted her best estimate of the values of C1, C2, C3, and b without informing you and then has run the simplex method. You are given the resulting final simplex tableau below (where x4 and x5 are the slack variables for the respective functional constraints), but you are unable to read the value of Z*. Coefficient of: Basic Right Variable Eq. Z X1 X2 X3 X4 X5 Side Z (0) 1 7 10 0 0 Z* X2 (1) 0 0 U/ N U / - (2) W X3 (a) Use the fundamental insight presented in Sec. 5.3 to identify the value of (C1, C2, C3) that was used. (b) Use the fundamental insight presented in Sec. 5.3 to identify the value of b that was used. (c) Calculate the value of Z* in two ways, where one way uses your results from part (a) and the other way uses your result from part (b). Show your two methods for finding Z*

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

An Introduction to Measure Theoretic Probability

Authors: George G. Roussas

2nd edition

128000422, 978-0128000427

More Books

Students also viewed these Mathematics questions

Question

How can you defend against SQL injection attacks?

Answered: 1 week ago