The cost to produce one compact disc is $1.75 plus a one-time fixed cost of $2300. The revenue received from selling one compact disc is $13
Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost
The formula that gives the cost C of producing x compact discs, including the fixed cost, is:
C = (1.75 * x) + 2300
Write a formula that gives the revenue R from selling x compact discs
The formula that gives the revenue R from selling x compact discs is:
R = 13 * x
Profit equals revenue minus cost. Write a formula that calculates the profit P from selling x compact discs
The formula that calculates the profit P from selling x compact discs is:
P = R - C
where R is the revenue from selling x compact discs and C is the cost of producing x compact discs.
To calculate the cost, C, of producing x compact discs, we need to consider both the variable cost per disc and the fixed cost.
The variable cost per disc is given as $1.75. This means for every disc produced, the cost is $1.75.
The fixed cost is given as $2300, which is a one-time cost irrespective of the number of discs produced.
Therefore, the formula that gives the cost C of producing x compact discs is:
C = (Variable Cost per Disc * Number of Discs) + Fixed Cost
Plugging in the values:
C = ($1.75 * x) + $2300
So, C = 1.75x + 2300 is the formula that gives the cost of producing x compact discs.