Janine works for a company that makes lawn chairs. She knows that they can maximize profits and make $7500 if they sell the chairs for $112 each. She also knows that they will lose $7312 if they sell the chairs for $89 each.

a) Write a quadratic relation to model the company’s profits P, in dollars, if the chairs sell for x dollars each.

b) What selling price will ensure a profit of $5000?