Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
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Chapter 5, Problem 67P
a)
Summary Introduction
To determine: The way to minimize the sum of penalty and shipping cost.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
b)
Summary Introduction
To determine: The way the change in penalty cost affect the optimal cost.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
c)
Summary Introduction
To determine: The way the change in warehouse capacity affect the optimal cost.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
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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 5 Solutions
Practical Management Science
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 2C
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