A company produces very unusual CD’s for which the variable cost is $ 11 per CD and the fixed costs are $ 40000. They will sell the CD’s for $ 90 each.
Let n be the number of CD’s produced, C(n) be the cost for producing n CD’s, R(n)equal the revenue earned from selling n CD’s, and P(n) equal the total Profit (Revenue minus Cost). Using this information, answer the questions below.
| Write the total cost C(n) as a function of the number of CD’s produced.
Cost Function: |
| Write the total revenue R(n) as a function of the number of CD’s produced.
Revenue Function: |
| Write the total profit P(n) as a function of the number of CD’s produced.
Profit Function: |
| Find the minimum number of CD’s which must be produced to not lose money (i.e. break even or make a profit). If needed round up to the nearest CD.
The minimum number of CD’s which must be produced to not lose money is |
