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 = 1.75x + 2900 (Simplify your answer.)
(b) Write a formula that gives the revenue R from selling x compact discs.
R= boxed 13x (Simplify your answer.)
(c) Profit equals revenue minus cost. Write a formula that calculates the profit P from selling x compact discs.
P= __ (Simplify your answer.)
P= R - C = 13x - (1.75x + 2900)
P= 13x - 1.75x - 2900
P= 11.25x - 2900
(c) Profit equals revenue minus cost. Write a formula that calculates the profit P from selling x compact discs.
P = R - C
P = 13x - (1.75x + 2900)
P = 13x - 1.75x - 2900
P = 11.25x - 2900 (Simplify your answer.)
To calculate the profit P from selling x compact discs, we need to subtract the cost C from the revenue R.
(a) The cost C of producing x compact discs can be calculated using the formula:
C = 1.75x + 2900
(b) The revenue R from selling x compact discs is given by the formula:
R = 13x
(c) To calculate the profit P, which is revenue minus cost, we substitute the values of R and C into the formula:
P = R - C
Substituting the formulas for R and C, we get:
P = 13x - (1.75x + 2900)
To simplify further, we can distribute the negative sign to each term inside the parentheses:
P = 13x - 1.75x - 2900
Combining like terms, we have:
P = 11.25x - 2900
In conclusion, the formula for calculating the profit P from selling x compact discs is:
P = 11.25x - 2900