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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Letx= 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 18xfrom both sides of the inequity results in 0.12x> 6000. Divide both sides by 0.12. The result is thatx> 50,000. The printing plant would have to print and sell 50,000 cards per month to make a profit.

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