Question 9

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Applications of Quadratic Equations and Inequalities

A company's revenue earned from selling x items is given by the function R(x) = 33x, and their cost is

given by the function C(x) = 3x². Use this function to answer the following questions.

Write a function, P(x), that represents the company's profit from selling x items. Remember that

P(x) = R(x) — С(x)

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P(x) =

Rewrite the function as a Quadratic Equation by setting P(x) = 0:

Solve the inequality P(x) ≥ 0 and use your results to fill in the boxes below.

The company must sell at least

The company can sell at most

Question Help: Video Message instructor

K

units to break even.

units and still break even.