Math

posted by Ellen

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.
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.
1a. Apple pie uses 4 cups and 3 cups of flour.
Apple cobbler uses 2 cups of apples and 3 cups of flour
You have 16 cups of apples and 15 cups of flour
Apple pie= $3.00, $2.00 apple cobbler.
X=apple pie, Y=apple cobbler
Write an inequality to show the constraint on the amount of apples you have.
4x+2y<=16
1b. Write an inequality to show the constraint on the amount of flour you have.
3x+3y<=15
1c. Write any non-negativity constraints on x and y.
Add 4x+2y<=16 and 3x+3y<=15
7x+5y<=31

7x<=31, 5y<=31
2a. Leaving your inequality from 1a in standard form, find the x and y intercepts to graph it on the coordinate plane provided.

I need help with 2a. and 1c.
Explain it ?

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