Distribute -4x^2 to the numbers in parentheses.
-4x^2(3x - 7)
-4x^2 * 3x - 4x^2 * (-7) = -12x^3 + 28x^2
Given that the revenue equation is

and the cost equation is

Part A:
At break-even the cost is equal to the revenue.
Thus, the algebraic equation needed to determine when the company will break even is given by

Part B:
The solution to part A is given as follows:

Part C:
<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

Part D:
</span>The solution to part C is given as follows:

Part E:
The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.