Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter B, Problem 2P
Summary Introduction
To solve: The following linear programming problem graphically.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
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Students have asked these similar questions
Let’s consider the following LP problem:
min
Subject to:
Solve the problem with the graphic method.
Define feasible solution space
Four qualified postgraduate students are to be allocated to four professors. The preference
given by student (scale 1-10) is shown as table below.
Student
A
В
C
D
Professor
James
Jordan
Janet
7
8
6.
Jessy
5
8.
7
(a) Formulate a linear programming model for the problem.
[NOTE: Please use x,
where i = 1, 2,...,n -Professor and j=1, 2,...,m -Student to
represent your decision variables.]
(b) From the output below, what is the optimal allocation plan and what is the total
preference scales obtained from the allocation plan?
Model Variable Original Value
Final Value
Value x11
1
1
Value x12
1
Value x13
1
Value x14
Value x21
Value x22
Value x23
1
1
1
1
1
Value x24
1
Value x31
Value x32
Value x33
1
1
1
1
Value x34
1
Value x41
1
Value x42
1
Value x43
1
Value x44
1
1
699
445
Chapter B Solutions
Operations Management
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - Prob. 1PCh. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Prob. 7PCh. B - Prob. 8PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 14PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 21PCh. B - Prob. 22PCh. B - Prob. 23PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 28PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 30PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...
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