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Sladkaya [172]
3 years ago
10

Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies

takes one cup of milk and four cups of flour. The baker has 9 cups of milk and 16 cups of flour available. He makes $2.50 profit per tray of chocolate chip cookies and $2 profit per tray of oatmeal raisin. How many trays of each type of cookies should be make to maximize his profit?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Step-by-step explanation:

this is a linear programming problem.

the objective is to maximize profit

let the chocolate be x

and cookies be y

Maximize

2.5x+2y=P

constraint milk

3x+y=9------------------1

constraint flour

2x+4y=16----------------2

solving 1 and 2

3x+y=9

2x+4y=16

multiply 1 by 2 and 2  3 to eliminate x we have

  6x+2y=18

 6x+12y=48

-0-10x=-30

10y=30

y=30/10

y=3

put y= 3 in eqn 1 we have

3x+3=9

3x=9-3

3x=6

x=6/3

x=2

two trays of chocolate

three trays of cookies

2.5x+2y=P

2.5(2)+2(3)=P

5+6=P

P=$11

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VLD [36.1K]

Answer:

x=1

Step-by-step explanation:

A direct variation equation has the following format:

y=kx

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

12=-2k

Divide both sides by -2:

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So, our direct variation equations is:

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To find what x is when y equals -6, substitute in -6 for y:

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7 0
3 years ago
Can someone help and explain it to me pls?
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Answer:

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Step-by-step explanation:

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Ley me know if you have any questions!!!

5 0
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Read 2 more answers
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