Question

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x. If the profit is the difference between the revenue and the cost, what expression represents the profit?

Answer 1

`5x-260`

Explanation:

Given :

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial
`3x^2 + 4x -60`

The cost, in dollars, of producing the toy cars can be modeled by
`3x^2 -x + 200.`

To Find: Profit function

Solution:

Revenue =
`3x^2 + 4x -60`

Cost = tex]3x^2 -x + 200[/tex]

Now we are supposed to find the profit

So, Profit = Revenue - Cost

`Profit=3x^2 + 4x -60-(3x^2 -x + 200)`

`Profit=3x^2 + 4x -60-3x^2 +x - 200`

`Profit=5x-260`

Hence The expression represents the profit is
`5x-260`

Answer 2

Answer:
`profit=5x-260`

Explanation:

To solve this exercise you must subtract the polynomials given in the problem.

Therefore, if:

`revenue=3x^2+4x-60\\cost=3x^2-x+200`

Then, the profit is the shown below:

`profit=revenue-cost\\profit=3x^2+4x-60-(3x^2-x+200)\\profit=3x^2+4x-60-3x^2+x-200`

Add the like terms.

Therefore, you obtain:

`profit=5x-260`