Question

A company produces very unusual CD's for which the variable cost is $ 17 per CD and the fixed costs are $ 30000. They will sell the CD's for $ 63 each. Let be the number of CD's produced.
Write the total cost as a function of the number of CD's produced.
$   syntax error

Write the total revenue as a function of the number of CD's produced.
$  

Write the total profit as a function of the number of CD's produced.
$  

Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is  

Answer 1

C=30000+17x.

R=63x.

P=R-C=63x-30000-17x=46x-30000.

P=0 at break-even, so 46x=30000, x=30000/46=652.2 so break-even is x=653.