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Find the maximum revenue for the revenue function r(x) = 392x - 0.6x². (Round your answer to the nearest cent.)

User Aleksander
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Final answer:

To find the maximum revenue, we need to find the vertex of the parabolic function represented by the revenue function. The vertex can be found using the formula x = -rac{b}{2a}, where a and b are the coefficients of the quadratic function.

Step-by-step explanation:

To find the maximum revenue, we need to find the vertex of the parabolic function represented by the revenue function. The vertex can be found using the formula x = -rac{b}{2a}, where a and b are the coefficients of the quadratic function. In this case, a = -0.6 and b = 392. Plugging these values into the formula, we get x = -rac{392}{2(-0.6)} = 326.67. To find the maximum revenue, we substitute this value back into the revenue function: r(326.67) = 392(326.67) - 0.6(326.67)^2.

User Frank Thomas
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