Question

The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dollars of producing the televisions can be modeled by 3x² - 160x +300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

Answer 1

We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.

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Profit is given by revenue subtracted by cost.

In this question:

• Revenue: $R(x) = 3x^2 + 180x$
• Cost: $C(x) = 3x^2 - 160x + 300$

Thus, the profit of selling x televisions is:

$P(x) = R(x) - C(x)$

$P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)$

$P(x) = 3x^2 + 180x - 3x^2 + 160x - 300$

$P(x) = 340x - 300$

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For 150 televisions, we have P(150), so:

$P(150) = 340(150) - 300 = 50700$

If 150 televisions are sold, the profit is $50,700.

A similar question is given at brainly.com/question/14469903