A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the profit for slacks is $40. The clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the profit for slacks is $40. The clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Formulate a linear model (clearly state decision variables, objective
function, and constraints)
2. Find optimal solutions using graphical techniques as shown in class
PowerPoint slides.
3. Find slack or surplus variables at each optimal solution.
Transcribed Image Text:#2
A clothier makes coats and slacks. The two resources required are wool cloth and labor.
The clothier has 150 square yards of wool and 200 hours of labor available. Each coat
requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks
requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the
profit for slacks is $40. The clothier wants to determine the number of coats and pairs of
slacks to make so that profit will be maximized.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
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