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Working on homework. Need help with one part of the worksheet. This is the main problem.

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.

Attached first is what I have so far. Attached second is what I need help with. How to I write an obgective function that I can use to evaluate the profit?

Working on homework Need help with one part of the worksheet This is the main problem An apple pie uses 4 cups of apples and 3 cups of flour An apple cobbler us class=
Working on homework Need help with one part of the worksheet This is the main problem An apple pie uses 4 cups of apples and 3 cups of flour An apple cobbler us class=

Respuesta :

musiclover10045

 let x = number of apple pies you would make

let y= the number of apple cobblers you make

 4 cups of apples for a pie 2 cups for cobbler with 16 cups
so we have: 4x+2y<=16

3 cups of flour for both pies and cobbler we get: 3x+3y<=15.


solve the system of inequalities to get (3,2)

 

check: 4(3) +2(2) = 12+4 = 14, this is less than 16 so this is true

3(3) + 3(2) = 9 +6 = 15 does equal 15 so this is true

 

 Now profit equation is 3x +2y = profit

3(3) +2(2) = 9+4 = 13

 

You can make 3 apple pies and 2 apple cobblers for maximum profit


lhmarianateixeira

In this exercise we have to have knowledge about finances, in order to be able to calculate and write a function that corresponds to profits, so:

[tex]3x +2y = profit[/tex]

Then using the information given in the text we can write that:

  • let x = number of apple pies you would make
  • let y= the number of apple cobblers you make
  • 4 cups of apples for a pie 2 cups for cobbler with 16 cups

So writing the function we have that corresponds to:

[tex] 4x+2y\leq 6[/tex]

So writing the second function that corresponds to 3 cups of flour, we have:

[tex]3x+3y\leq 15[/tex]

So solving these systems we find:

[tex] 4(3) +2(2) = 12+4 = 14\\ 3(3) + 3(2) = 9 +6 = 15\\ 3x +2y = profit[/tex]

See more about function at brainly.com/question/5245372

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