Cost, Revenue, Profit
A company produces very unusual CD's for which the variable cost is $ 19 per CD and the fixed costs are $ 40000. They will sell the CD's for $ 93 each.

Let n\displaystyle {n} be the number of CD's produced, C(n)\displaystyle {C}{\left({n}\right)} be the cost for producing n CD's, R(n)\displaystyle {R}{\left({n}\right)} equal the revenue earned from selling n CD's, and P(n)\displaystyle {P}{\left({n}\right)} equal the total Profit (Revenue minus Cost). Using this information, answer the questions below.

Note: For each of the following, you must write a complete function using formal function notation to get full credit. For example, for the cost function, it must be in the form:

C(n)=mn+b\displaystyle {C}{\left({n}\right)}={m}{n}+{b}
Write the total cost C(n)\displaystyle {C}{\left({n}\right)} as a function of the number of CD's produced.

Cost Function:  
Write the total revenue R(n)\displaystyle {R}{\left({n}\right)} as a function of the number of CD's produced.

Revenue Function:  
Write the total profit P(n)\displaystyle {P}{\left({n}\right)} 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  

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