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