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?

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:

Thus, the profit of selling x televisions is:

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

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

A similar question is given at

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

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set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.