header bg


A toy company wishes to earn more than $22,205 in profits for the month. If it is guaranteed to earn $45, but also earns $8.50 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

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.