Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 3.5, Problem 27P
a.
Summary Introduction
To determine:
Linear program of the problem.
Introduction:
Linear programming is a method to achieve desired outcome in a mathematical model with given constraint.
b.
Summary Introduction
To determine:
Optimal solution for the problem.
Introduction:
Linear programming is a method to achieve desired outcome in a mathematical model with given constraint.
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Students have asked these similar questions
Consider the following linear programming model:
maximize Z = 3x1 + 2x2
subject to :
x1 +x2 ≤ 1
x1 + x2 ≥ 2
x1,x2 ≥ 0
a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.
ou are given a linear programming problem.
Maximize
P = 3x + 3y
subject to
5x
+
3y
≤
30
Resource 1
2x
+
3y
≤
21
Resource 2
x
≤
4
Resource 3
y
≥
0
x
≥
0
(a) Use the method of corners to solve the problem.
The maximum is P = at
(x, y) =
.
(b) Suppose P = cx + 3y. Find the range of values that the coefficient c of x can assume without changing the optimal solution.
≤ c ≤
(c) Find the range of values that Resource 1 can assume.
≤ (Resource 1) ≤
(d) Find the shadow price for Resource 1.
A firm operates two types of machines A and B as shown in the table.
Type A
Type B
Maximum Space Available
Floor Space Available
3
2
18
Number of Workers
5
3
30
The ratio of machines of type A to those of type B should be greater than one.
Tasks
Define the term linear programming
Write down four inequalities to represent the information above.
If the profit from using type A machine is Shs 6000 per hour and that of B is Shs 9000 per hour, write down the expression for the profit in terms of and
Find the number of machines of each type that should be in operation to give the maximum profit. Hence find the maximum profit
What advice do you give to this company’s manager
Chapter 3 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10P
Ch. 3.2 - Prob. 11PCh. 3.2 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.6 - Prob. 29PCh. 3.6 - Prob. 30PCh. 3 - Prob. 31APCh. 3 - Prob. 32APCh. 3 - Prob. 33APCh. 3 - Prob. 34APCh. 3 - Prob. 35APCh. 3 - Prob. 36AP
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