The cost to produce one compact disc is $
1.75 plus a one-time fixed cost of $
2400. The revenue received from selling one compact disc is $
12.
(a) Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost.
C
=
enter your response here
(Simplify your answer.)
C = 1.75x + 2400
The cost to produce one compact disc is $
1.75 plus a one-time fixed cost of $
2400. The revenue received from selling one compact disc is $
12.
(a) Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost.
R=
enter your response here
(Simplify your answer.)
C = 1.75x + 2400
The formula that gives the cost C of producing x compact discs is:
C = 1.75x + 2400
To arrive at this formula, we start with the cost to produce one compact disc, which is $1.75. We then multiply this cost by the number of compact discs produced (x), since the cost increases as the number of discs produced increases.
In addition, there is a one-time fixed cost of $2400, which does not depend on the number of discs produced. Therefore, we add this fixed cost to the variable cost of producing x compact discs.
Hence, the simplified formula for the cost C of producing x compact discs is C = 1.75x + 2400.