If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Question

A bicycle company produces y bicycles at a cost represented by the polynomial y 2 + 10y + 100, 000. The revenue for y bicycles is represented by 2y2 + 10y + 500. Find a polynomial that represents the company’s profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Answer 1

Profit = revenue - cost

2y² + 10y + 500 - (y² + 10y + 100,000)

y2 - 95,000

300² - 95000

90,000 - 95,000 = -5000

Nope, they lose $5000 if they make 300 bikes.