Question

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. Wr

Answer 1

4x+2y<=16
3x+3y<=15

2x+y<=8
x+y<=5
3x+2y->maximize profit

X Y profit
1 4 11
2 3 12
3 2 13
4 0 12
3 1 11
3 2 13
2 3 12
1 4 11
0 5 10

Farmer need to make 3 Apple pies and 2 apple cobblers
Farmer will use 16 cups of apples and 15 cups of flour
profit of farmer will be $13