33
practice examMultiple Choice

Practice Exam

Question 33 • Algebra II

The profits in hundreds of dollars, cap p times c , that a company can make from a product is modeled by a function of the price, c , they charge for the product: cap p times c is equal to negative 20 c squared plus 320 c plus 5 comma 120 What is the maximum profit the company can make from the product?

Answer
A
640 dollars comma 000
B
800 dollars comma 000
C
896 dollars comma 000
D
540 dollars comma 000

Explanation

Since the quadratic opens downward, its maximum occurs at the vertex. The price at the vertex is c = −320 ÷ (2 × −20) = 8; substituting gives p(8) = 6,400, in hundreds of dollars. That equals $640,000, so the correct choice is $640,000.

AI-written and checked against the verified answer.

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