A company’s profit is modeled by the function p(x) = -2x2 + 60x − 2, where p is the profit in thousands of dollars and x is the

Question

3 years ago

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A company’s profit is modeled by the function p(x) = -2x2 + 60x − 2, where p is the profit in thousands of dollars and x is the

number of units sold in hundreds.
Based on the profit function, the company has to make ___ hundred units to make a maximum profit

Mathematics

1 answer:

algol13 · Answer 1 · 2021-11-14T08:20:42+03:00

Note: Please write "x^2" (not 'x2') to indicate "the square of x."

<span>p(x) = -2x2 + 60x − 2 is a quadratic function whose graph is that of an inverted parabola. The vertex (which here represents the largest p(x) value) can be found using the formula

x = -b / (2a), which comes out to x = -60 / (2*-2) = 15.

The company has to make 15 hundred units to gain maximum profit.

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