Lauren F.
asked • 10/23/17Copier Word Problem
Lauren runs a copying service at her home. She paid $4000 for the copier and a lifetime service contract. Each sheet of paper she uses costs $0.02 and she gets paid $0.07 per copy she makes. Use x to represent the number of copies.
a. Express the cost C as a function of x, where x represents the quality of items. -- C(x)=
b. Express the revenue R as a function of x. -- R(x)=
c. Determine the break-even value for x where cost = revenue.
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1 Expert Answer
Mark M. answered • 10/23/17
Tutor
5.0
(278)
Mathematics Teacher - NCLB Highly Qualified
C(x) = 4000 + 0.02x
R(x) = 0.07x
2000 + 0.02x = 0.07x
Can you solve for x and answer?
Lauren F.
I um unsure about how "c" would look. Could you please show me?
Report
10/23/17
Mark M.
C(x) is not used by itself. It is not solved. It is used to compare with R(x).
The problem asks for when the revenue (income), R(x), shall be equal to or greater than the cost, C(x).
That is the solution to the third equation.
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10/23/17
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Lauren F.
0.02x+2000=0.07x
0.02x+2000−0.07x=0.07x−0.07x−0.05x+2000=0
−0.05x+2000−2000=0−2000−0.05x= −2000
−0.05x/−0.05=−2000/−0.05
x=40000
10/23/17