# ALGEBRA 2

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make \$3.00 profit per apple pie and \$2.00 profit per apple cobbler. Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize profit.

Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize profit.
Let x=The number of apple pies you make. Let y=The number of apple cobblers you make Write an inequality to show the constraint on the amount of apples you have. If anyone could help me I'd be so grateful. I been struggling with this for 2 days. I am not just looking for quick answers I want to learn. If you have any links that could help with constraints that would be amazing.

1. surely your text has a section on linear programming, where it explains problems just like this one.

Assign variables
write the constraints
define the objective function

evaluate at all the vertices of the region.

posted by Steve
2. Let's take this step by step.
1. We can let x = number of apple pies you would make and y= the number of apple cobblers you make.

2. We can make an inequality showing the constraint of apples we need. So: 4x+2y<=16. Done!

3. Next ingredient we would use is flour, so let's make an inequality for the amount of flower we have: 3x+3y<=15. Just to help explain how we got it

4. We need 4 cups of apples for an apple pie and we need 2 cups of apples for an apple cobbler. Same applies with the flour, we ned 3 cups of flour and 3 cups of flour for both the apple pie and flour.

5. So, next we can graph the equations we wrote, so graph that and then write down what the feasible region is. (Should be three points).

6. Now, we can write the maximum profit equation, which would be 3x+2y. (Reason why is because \$3 per apple pie and \$2 per apple cobbler). For this you can solve it yourself and just plug into what we found when we graphed it.

posted by Bobby
3. Consider a duck swimming under water to catch a fish. His path can be written by the function . There is a piece of seaweed on the y-axis. X is time in seconds related to when he hits the seaweed. Y is his distance in feet under the water. Find and label each ordered pair. Match each vocabulary term with each moment (terms may be repeated).

posted by Anonymous
4. 2a. root (-10,0)
2b. vertex (-3,-49)
2c. y-intercept (0,-40)
2d. root (4,0)

posted by beg

## Similar Questions

1. ### Math

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make \$3.00 profit
2. ### Math

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make \$3.00 profit
3. ### Math

A baker has a bag of flour that is 11% whole wheat and a bag of flour that is 63% whole wheat. How many cups of each type does the baker need to make 12 cups of a flour mixture that is 50% whole wheat? a. 3 cups of the 11% flour
4. ### Algebra Assignment

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples and 15 cups of flour. When you sell these at the Farmerâ€™s Market you make \$3.00
5. ### Algebra

Translate to a proportion and solve. Two cups of water are used for every 6 cups if flour when making paste. How many cups of flour are needed for 8 cups of water? Any type of help would be appreciated greatly. Thank you in
6. ### math!!

Solve each problem 3. 2/3 = 1.2/x x = 18 <-- x = 1.8 x = 0.2 x = 10 4. 4/5 = 8/x + 2 x = 4 x = 9.5 x = 2 x = 8 <-- Create a proportion and solve. A recipe ideas 3 cups of flour to make 48 cookies. How much flour is needed to
7. ### math

A recipe calls for 2 cups of flour to make 2 dozen cookies. Use the proportion to calculate how much flour is needed to make 6 dozen cookies. 2 cups/2 dozen= x cups/6 dozen A. 2 cups B. 4 cups C. 6 cups D. 12 cups Is the answer C?
8. ### Math Help

A recipe calls for 3 cups of flour to make 3 dozen cookies. Use the proportion to calculate how much flour is needed to make 9 dozen cookies. 3 cups/3 dozen= x cups/9 dozen A. 6 cups B. 3.5 cups C. 9 cups D. 12 cups Is the answer
9. ### Math

Here is the question: "To make a pancake mix, add 1/2 cup of sugar, 3 cups of flour, 1 cup of powdered milk, 1 teaspoon baking powder and 1/2 teaspoon salt. Assuming the volume of the baking powder and salt are negligible, how
10. ### Math

Jeanine used 21/2 cups of flour to make muffins and 1 3/4 cups of flour to make biscuits. After borrowing 1/4 cup of flour,she had 2 1/4 cups left to make bread. How much flour did she have to begin with?

More Similar Questions