of $2900
.
The revenue received from selling one compact disc is $13
.
Question content area bottom
Part 1
(a) Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost.
Cequals
1.50 x plus 2900
(Simplify your answer.)
Part 2
(b) Write a formula that gives the revenue R from selling x compact discs.
Requals
13 x
(Simplify your answer.)
Part 3
(c) Profit equals revenue minus cost. Write a formula that calculates the profit P from selling x compact discs.
Pequals
11.50 x minus 2900
(Simplify your answer.)
Part 4
(d) How many compact discs need to be sold to yield a positive profit?
enter your response here
or more compact discs should be sold.
(Simplify your answer.)
To yield a positive profit, the profit formula (P) should be greater than zero. Therefore, we can set the profit formula equal to zero and solve for x:
11.50x - 2900 > 0
Adding 2900 to both sides:
11.50x > 2900
Dividing both sides by 11.50:
x > 2900/11.50
x > 252
Therefore, 253 or more compact discs should be sold to yield a positive profit.