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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

Sagot :

The equation that represents the profit function is P(x) = 5x - 260

How to determine the profit function?

The given parameters are:

C(x) = 3x^2 - x + 200 --- cost function

R(x) = 3x^2 + 4x - 60 --- revenue function

The profit function is calculated as:

P(x) =R(x) - C(x)

This gives

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

Evaluate the like terms

P(x) = 5x - 260

Hence, the equation that represents the profit function is P(x) = 5x - 260

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