Question

Pilar is starting a small business that makes specialized stationery. She finds that producing larger quantities of a design saves her money. Each print run costs $50 plus $2 for each item , this statement can be represented by y=2x+50 . She can sell each item for $4.50. So her revenue, y, is equal to 4.5 times the number of items : y=4.5x . The solution of system of equations is bReAk-even point . How many items must she sell to break even ?

Answer 1

Y=2x+50
y=4.5x
4.5x=2x+50 subtract 2x
2.5x=50 divded by 2.5
x=20
She must sell 20.

Answer 2

Answer: She must sell 20 items to break even.

Explanation:

Hi, to answer this question we have to solve the system of equations:

y=2x+50

y=4.5x

Since:

y=y

We can apply the method of equalizing:

4.5x=2x+50

So, solving for "x":

4.5x-2x=50

2.5x=50

x=50/2.5

x=20

She must sell 20 items to break even.

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