OPERATIONS MANAGEMENT
14th Edition
ISBN: 9781260961393
Author: Stevenson
Publisher: MCG
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Textbook Question
Chapter 19, Problem 1DRQ
For which decision environment is linear programming most suited?
Expert Solution & Answer
Summary Introduction
To determine: The environment for which linear programming is most suited.
Linear programming:
Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking the various constraints present in the problem into consideration. It is useful in making quantitative decisions in business planning.
Explanation of Solution
Environment for which linear programming is most suited:
Linear programming is most suitable in situations where there is a single objective. Linear programming can only solve one objective at a time; either maximizing the gains or minimizing the expenses. It will be suitable when there are specific constraints and many variables.
The constraints will be governing the variables. The numerical values, conditions and other requirements will be fixed in a linear programming model. Hence, linear programming is most suitable in similar environments.
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Students have asked these similar questions
Question 6.
An electrical engineering company is designing two types of solar panel systems: Standard Panels (S) and High-Efficiency Panels (H). The company has certain constraints regarding the hours of labor and material available for production each week.
Each Standard Panel requires 4 hours of labor and 2 units of material and each High-Efficiency Panel requires 3 hours of labor and 5 units of material.
The company has a maximum of 60 hours of labor and 40 units of material available per week.
The profit from each Standard Panel is GH¢80, and the profit from each High-Efficiency Panel is GH¢100. The company wants to determine how many of each type of panel to produce in order to maximize profit.
i) Solve this LPP by using graphical analysis
ii) What will be the slack at the optimal solution point? Show calculation.
qusestion 6.
An electrical engineering company is designing two types of solar panel systems: Standard Panels (S) and High-Efficiency Panels (H). The company has certain constraints regarding the hours of labor and material available for production each week.
Each Standard Panel requires 4 hours of labor and 2 units of material and each High-Efficiency Panel requires 3 hours of labor and 5 units of material.
The company has a maximum of 60 hours of labor and 40 units of material available per week.
The profit from each Standard Panel is GH¢80, and the profit from each High-Efficiency Panel is GH¢100. The company wants to determine how many of each type of panel to produce in order to maximize profit.
i. Formulate a linear programming model of the problem for the company.
ii Convert the linear programming model formulated in (a) to a standard form.
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Chapter 19 Solutions
OPERATIONS MANAGEMENT
Ch. 19 - For which decision environment is linear...Ch. 19 - What is meant by the term feasible solution space?...Ch. 19 - Explain the term redundant constraint.Ch. 19 - Prob. 4DRQCh. 19 - Prob. 5DRQCh. 19 - Prob. 6DRQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - A small candy shop is preparing for the holiday...
Ch. 19 - A retired couple supplement their income by making...Ch. 19 - Solve each of these problems by computer and...Ch. 19 - Prob. 7PCh. 19 - For Problem 6b: a. Find the range of feasibility...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - The manager of the deli section of a grocery...Ch. 19 - Prob. 13PCh. 19 - A chocolate maker has contracted to operate a...Ch. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 1.1CQCh. 19 - Prob. 1.2CQCh. 19 - Prob. 1.3CQCh. 19 - Prob. 2.1CQCh. 19 - Prob. 2.2CQCh. 19 - Prob. 2.3CQCh. 19 - Prob. 2.4CQ
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