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:
The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

Part D:
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.