Greenyard’s manufactures and sells yard furniture made out of recycled materials. The company is considering making a lawn chair from recycled aluminum and fabric. The expense and revenue functions are E = –1,850p +  800,000 and R = –100p² + 20,000p.
a. Determine the profit function.
b. Determine the price, to the nearest cent, that yields the maximum profit.
c. Determine the maximum profit, to the nearest cent.