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Amanda [17]
3 years ago
7

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
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0
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 
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<h3>Answer:  12.1</h3>

-----------------------

Work Shown:

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===================================================

Part (b)

<h3>Answer:  15.1</h3>

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Work Shown:

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Refer to the diagram below.

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