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A sales analyst determines that the revenue from sales of fruit smoothies is given by R(x)= -60x^2 + 300x , where x is the price in dollars charged per item, for 0

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Final answer:

To find the price that maximizes the revenue, use the formula x = -b/2a. Substitute the values into the formula to find the price.

Step-by-step explanation:

The revenue from sales of fruit smoothies is given by the function R(x) = -60x^2 + 300x, where x is the price in dollars charged per item, for 0 < x < 5. To determine the price that maximizes the revenue, we need to find the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula x = -b/2a. Substitute the values a = -60 and b = 300 into the formula to find the price that maximizes the revenue.

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