QuestionCallie's pillow company has monthly costs of \$3200 and makes pillows for \$50 each, selling them for \$18.
A. Write and solve an inequality for the number of pillows $p$ sold to ensure profit. B. Discuss which solutions are valid in this context.

Studdy Solution
The error in our calculation comes from the fact that the selling price of the pillows is less than the cost to make them. This means that the company is losing money on each pillow sold, and therefore cannot make a profit regardless of how many pillows are sold. The correct inequality should be$$p \times \$18 < p \times \$50 + \$3200$$This inequality states that for any number of pillows sold, the revenue will always be less than the expenses, resulting in a loss, not a profit.