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Question:
A toy company wishes to earn more than 22,205 dollars in profits for the month. If it is guaranteed to earn 45 dollars, but also earns 8.50 dollars per unit sold, what is the minimum number of units the company must sell in order to meet its goal? (Units can only be sold as whole numbers.)
A
2613
explanation
Translate the question into a linear inequality.
22,205 < 8.5x + 45. Solve for x
(22,205-45) < 8.5x, or 22,160 < 8.5x, or
2607.05 < x and, because x can only be sold as whole units, the company must sell 2613.
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