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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 – 160x + 300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

Respuesta :

texaschic101
3x^2 + 180x - (3x^2 - 160x + 300) = profit
3x^2 + 180x - 3x^2 + 160x - 300 = profit
340x - 300 = profit

so if 150 televisions are sold...x = 150
340(150) - 300 =
50,700 <==

After selling 150 television the profit will be 50700 and this can be determine by using the arithmetic operations and the given data.

Given :

  • Profit is the difference between revenue and cost.
  • The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial [tex]3x^2+180x[/tex].
  • The cost, in dollars, of producing the televisions can be modeled by [tex]3x^2-160x+300[/tex].
  • The variable x is the number of televisions sold.

To determine the profit given data will be use, that is:

[tex]\rm Profit = Revenue - Cost[/tex]   ---- (1)

Given that, Revenue = [tex]3x^2+180x[/tex],

Cost = [tex]3x^2-160x+300[/tex] .

Now, put the value of cost and revenue in equation (1).

[tex]\rm Profit = 3x^2+180x-3x^2+160x-300[/tex]

Profit = 340x - 300

It is also given that x = 150. So, put the value of x in above equation.

[tex]\rm Profit = (340\times 150) - 300[/tex]

Profit = 51000 - 300

Profit = 50700

Therefore, after selling 150 television the profit will be 50700.

For more information, refer the link given below:

https://brainly.com/question/13101306

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