Profit is the difference between revenue and cost. 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 โ€“ 160x + 300. The variable x is the number of televisions sold.
If 150 televisions are sold, what is the profit?
$2,700
$6,000
$50,700
$51,300

by Hagik

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meerkat18
meerkat18

To determine the profit (P) that the company made, subtract the total cost from the total revenue. From the models given above, 
                        P = (3xยฒ + 180x) - (3xยฒ - 160x + 300)
Substitute the number of televisions sold,
               P = (3)(150)ยฒ +180(150) - ((3)(150ยฒ) - 160(150) + 300) = 50700

Thus, the company made a profit of $50,700.

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