An appliance manufacturer estimates that the profit y (in dollars) generated by producing x cooktops per month is given by the equation y = 10x + 0.5x2 − 0.001x3 − 4000, where 0 ≤ x ≤ 450.

Question

(b) How many cooktops must be produced to begin generating a profit? (Round your answer to the nearest whole number.)

 cooktops

(c) For what range of values of x is the company's profit greater than $15,000? (Enter your answer using interval notation. Round numerical values to the nearest whole number.)

Answer 1

(b) 0 < 10x + 0.5x2 − 0.001x3 − 4000

(c) 15000 < 10x + 0.5x2 − 0.001x3 − 4000