6. Solve the following linear programming problem. The students in the Future Homemakers Club are making casual bags and formal bags for a fundraising project. They will line both types of bags with canvas and use leather for the handles for both bags. For the casual bags, they need 4 yards of canvas and 1 yard of leather. For the formal bags, they need 3 yards of leather and 2 yards of canvas. Their faculty advisor has purchased 56 yards of leather and 104 yards of canvas so they may use no more than what they have. The club will make a profit of $20 for each casual bag and $35 for each formal bag. Determine the number of each type of bag they need to make in order to maximize profits. a. Define your variables. b. Write the objective equation that represents the profit (P). c. Write a system of all constraints for this problem. C.. Solve the problem using the graph below. Be sure to locate all vertices and show your tests.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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6. Solve the following linear programming problem.
The students in the Future Homemakers Club are making casual bags and formal bags for a fundraising
project. They will line both types of bags with canvas and use leather for the handles for both bags. For
the casual bags, they need 4 yards of canvas and 1 yard of leather. For the formal bags, they need 3
yards of leather and 2 yards of canvas. Their faculty advisor has purchased 56 yards of leather and 104
yards of canvas so they may use no more than what they have. The club will make a profit of $20 for
each casual bag and $35 for each formal bag. Determine the number of each type of bag they need to
make in order to maximize profits.
a. Define your variables.
b. Write the objective equation that represents the profit (P).
c. Write a system of all constraints for this problem.
C.. Solve the problem using the graph below. Be sure to locate all vertices and show your tests.
Page
M
Op
&
Transcribed Image Text:10:32 A bartleby.com = bartleby E Q&A th / Advanced Math / Q&A Library / Advanced Math Quest Open w th 6. Solve the following linear programming problem. The students in the Future Homemakers Club are making casual bags and formal bags for a fundraising project. They will line both types of bags with canvas and use leather for the handles for both bags. For the casual bags, they need 4 yards of canvas and 1 yard of leather. For the formal bags, they need 3 yards of leather and 2 yards of canvas. Their faculty advisor has purchased 56 yards of leather and 104 yards of canvas so they may use no more than what they have. The club will make a profit of $20 for each casual bag and $35 for each formal bag. Determine the number of each type of bag they need to make in order to maximize profits. a. Define your variables. b. Write the objective equation that represents the profit (P). c. Write a system of all constraints for this problem. C.. Solve the problem using the graph below. Be sure to locate all vertices and show your tests. Page M Op &
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