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A company manufactures and sells tablets. Each tablet costs $75 to produce and is sold for $220. The company began with an initial investment cost of $12,550. What is the minimum number of tablets that must be sold to generate a profit?

A 87

Use the information given to produce an inequality representing the situation. The difference between the product of the number of tablets sold and the cost per sale and the product of the number of tablets made and the cost per tablet made must be larger than the initial investment. Stated algebraically:
220x - 75x > 12550, which becomes
145x > 12550, or
x > 86.55
Because the tablets can only be sold in whole numbers, and the number sold must produce a profit, 87 tablets must be sold.

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