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Profit is the difference between revenue and cost. The revenue, in dollar, of company that manufactures television can be modeled by the polynomial 3x²+180x. The cost,in dollar, 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?
C)$50,700​

Respuesta :

Answer:

The profit in this case is equal to $50,700.

Step-by-step explanation:

As the problem stated profit is the difference between revenue and cost, in this case we have:

[tex]revenue(x) = 3x^2 + 180x[/tex]

[tex]cost(x) = 3x^2 - 160x + 300[/tex]

So the profit will be the difference between these two functions.

[tex]profit(x) = revenue(x) - cost(x)\\profit(x) = 3x^2 + 180x - 3x^2 + 160x - 300\\profit(x) = 340x - 300[/tex]

In order to find the profit when 150 televisions are sold we need to make x equal 150.

[tex]profit(150) = 340*150 - 300\\profit(150) = 51000 - 300 = 50700[/tex]

The profit in this case is equal to $50,700.

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