The cost to produce one compact disc is $1.75 plus a one-time fixed cost of \$ 2900 . The revenue received from selling one compact disc is $13. (a) Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost.
C = ___ (Simplify your answer.)
C = 1.75x + 2900
The formula that gives the cost C of producing x compact discs is:
C = 1.75x + 2900
To write a formula that gives the cost C of producing x compact discs, we need to account for the per-unit cost and the fixed cost.
The per-unit cost to produce one compact disc is $1.75. The fixed cost, which is a one-time cost, is $2900.
To account for both the per-unit cost and the fixed cost, we can use the formula:
C = (per-unit cost * x) + fixed cost
Substituting the values:
C = ($1.75 * x) + $2900
Simplifying the formula, we get:
C = 1.75x + 2900