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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
How do I solve this?
![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
&](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F469154fc-94db-4e94-8265-2b9bba1d798e%2Fd3d422a8-af00-4e04-bb70-b27919d3a962%2Fkovlczn_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)