Question

*PLEASE HURRY WILL GIVE BRAINLY* A company's profits (in dollars) are modeled by the function p(x) = —x^2+ 1100x - 300000, where x is the number of units produced. To determine the minimum number
of units that must be produced in order to earn profits of $590, the company plots the parabola of y = —x^2 1100x -- 300000 and the line x = 590, finds the intersection

of the two, and concludes that 900 units must be produced. Is the company correct? Explain, rounding values to the nearest whole number if necessary.

Answer 1

No, it’s not correct. The y-axis on the graph represents the profits p(x) so the minimum number of units produced should be when the a horizontal line at y = 590 first intersects the parabola drawn left to right, and not a vertical line at x = 590 because that represents the profit as 590 units are produced.