Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter B, Problem 26P
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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A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below:
Customer (requirement)
Factory (capacity)
Customer 1 (25)
Customer 2 (50)
Customer 3 (125)
Customer 4 (75)
A (100)
$
15
$
10
$
20
$
17
B (75)
$
20
$
12
$
19
$
20
C (100)
$
22
$
20
$
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$
14
Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?
In the past, Peter Kelle's tire dealership in Baton Rouge sold an average of 1,000 radials each year. In the past 2 years, 240 and 240, respectively were sold in fall, 350 and 320 in winter,150 and165 in spring, and 340 and 195 in summer. With a major expansion planned, Kelle projects sales next year to increase to 1,200 radials.
Based on next year's projected sales, the demand for each season is going to be (enter your responses as whole numbers):
Fall:
Winter:
Spring:
Summer:
A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below:
Customer (requirement)
Factory (capacity)
Customer 1 (125)
Customer 2 (150)
Customer 3 (175)
Customer 4 (75)
A (100)
$ 15
$ 10
$ 20
$ 17
B (75)
$ 20
$ 12
$ 19
$ 20
C (100)
$ 22
$ 20
$ 25
$ 14
D (250)
$ 21
$ 15
$ 28
$ 12
How many supply nodes are present in this problem?
Multiple Choice:
4
3
1
8
16
Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
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 - The LP relationships that follow were formulated...Ch. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 9PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 13PCh. B - Prob. 14PCh. B - Prob. 22PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - Prob. 30PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 37PCh. B - Prob. 38PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 40PCh. B - Prob. 41PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Prob. 1.1VCCh. B - Prob. 1.2VCCh. B - Prob. 1.3VCCh. B - Prob. 1.4VC
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