A Printing Plant That Produces Baseball Cards Has A Monthly Overhead Of $6,000. It Costs 18 Cents To Print Each Card, And The Cards Sell For 30 Cents Each. How Many Cards Must The Printing Plant Sell Each Month In Order To Make A Profit?

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Dominic Gutierrez Profile
8: A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each. How many cards must the printing plant sell each month in order to make a profit?

A. 30,000

B. 40,000

C. 50,000

D. 60,000

Let x = the number of cards printed and sold each month. Therefore, cost is equal to 6000 + 18x, and revenue is equal to 0.30x. You’re looking for the point where revenue is greater than the cost (revenue > cost). The inequity is 0.30x > 6000 + 18x. Subtracting 18x from both sides of the inequity results in 0.12x > 6000. Divide both sides by 0.12. The result is that x > 50,000. The printing plant would have to print and sell 60,000 cards per month to make a profit.

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