Question

To break even in a manufacturing business, income or revenue R must equal the cost of production C. The cost C to produce x skateboards is C = 156 + 18x. The skateboards are sold wholesale for $24 each, so revenue R is given by R = 24x. Find how many skateboards the manufacturer needs to produce and sell to break even. (Hint: Set the cost of expression equal to the revenue expression and solve for x.)

Answer 1

The hint has basically told you what do to to solve the problem. :)

C= 156 +18x
R= 24x

Then to break even, what condition must be met?

Cost must equal revenue, so C = R.
Substitute and solve.

Answer 2

x = 6?

Answer 3

No, not quite.

Here is what you have:
C = R
156 + 18x = 24x

Can you solve for x?

Answer 4

Oops, x is 26 ..

Answer 5

Si. :D

Answer 6

Thanks. :)

Answer 7

^^ Welcome.