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Algebra
Question

A company produces very unusual CD's for which the...

A company produces very unusual CD's for which the variable cost is \( \$ 16 \) per CD and the fixed costs are  \(\$ 45000\) . They will sell the CD's for \( \$ 81 \) each. Let \( x \) be the number of CD's produced. Write the total cost \( C \) as a function of the number of CD's produced. 

\(C = \$ \) 

Write the total revenue \( R \) as a function of the number of CD's produced. 

\( R = \$ \) 

Write the total profit \( P \) as a function of the number of CD's produced. 

\(P = \$ \)

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

\(C= 45000+ 16x\)

 

\(R= 81x\)

 

\(P= 81x- ( 45000+ 16x) \)

     \(= 65x- 45000\)

 

Number of CD's to be sold to break even is \(692\) 

Solution
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