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 38P
Summary Introduction
To determine: The minimum distance travelled between the factory and the warehouse using linear programming.
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, minimum cost or to determine the optimal product mix. The outcome will take into consideration the constraints present in achieving the solution.
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Students have asked these similar questions
fertilizer manufacturer has to fulfill supply contracts to its two main customers
(650
tons to Customer A and
800
tons to Customer B). It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse 1 (W1) has
400
tons of inventory onhand, Warehouse 2 (W2) has
500
tons, and Warehouse 3 (W3) has
600
tons. The company would like to arrange the shipping for the lowest cost possible, where the per-ton transit costs are as follows:
W 1
W 2
W 3
Customer A
$7.50
$6.25
$6.50
Customer B
$6.75
$7.00
$8.00
Write the objective function and the constraint in equations. Let
Vij=
tons shipped to customer i from warehouse
j,
and so on. For example,
VA1=tons
shipped to customer A from warehouse W1.
This exercise contains only parts b, c, d, e, and f.
Part 2
b) The objective function for the LP model =
B & C
A manufacturer produces two types of calculator; each requiring material and labour as shown below:
Input
Scientific Calculator
Graphic Calculator
Availability
Labour (hrs)
4
5
200
Inspection time
2
1
80
Material (cm2)
10
12
600
PROFIT
$200
$300
Write the objective function and he constraints
Diagram the constraint and identify the feasible region
Using the corner point method, identify the production level that meets the objective of maximum profit
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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