Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)
13th Edition
ISBN: 9780135225899
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Question
Chapter B, Problem 13DQ
a)
Summary Introduction
To determine: The impact of adding an extra constraint to the feasible area of a solved linear programming problem.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the problem in hand. The outcome might be of maximum profit or less cost which is represented by a linear relationship. The outcome will take into consideration the constraints present in achieving the solution.
Constraints:
The constraints are the limitation for a situation within which the process must operate. The constraints are the limits within which the available resources can be utilized that will help to maximize or minimize an amount.
Feasible region:
A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities, integer constraints and inequalities. It is the area that is bounded by the constraints of the problem.
b)
Summary Introduction
To determine: The impact of adding an extra constraint to the optimal value of the objective function of a solved linear programming problem.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the problem in hand. The outcome might be of maximum profit or less cost which is represented by a linear relationship. The outcome will take into consideration the constraints present in achieving the solution.
Constraints:
The constraints are the limitation for a situation within which the process must operate. The constraints are the limits within which the available resources can be utilized that will help to maximize or minimize a quantity.
Feasible region:
A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities, integer constraints and inequalities. It is the area that is bounded by the constraints of the problem.
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How will a change in the right-hand-side value for a constraint affect the optimalsolution?
Assuming that the company is interested in maximizing the total profit contribution, answer the following:
A, What is the linear programming model for this problem?
Decision Variables:
LP Model:
B.Find the optimal solution using the graphical solution procedure.
1.Feasible Region:2. Identify the binding constraint/s:3. Identify the rebundant constraint/s:4.How many gloves of each model should Kelson manufacture?5.What is the total profit contribution Kelson can earn with the given production quantities?
C.How many hours of production time will be scheduled in each department?
D.What is the slack time in each department?
E.Compute the range of optimality for the objective function coefficients
[8] Given the constraints in this problem the maximum profit is:
Chapter B Solutions
Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th 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 - Prob. 2PCh. B - Prob. 3PCh. B - Prob. 25PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 22PCh. B - Prob. 9PCh. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 30PCh. B - Prob. 37PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 13PCh. B - Prob. 38PCh. B - Prob. 40PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 33PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...
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