The total revenue for fred's Estates uc is given as the function $R(x)=400 x-0.5 x^{2}$, where $x$ is the number of apartinents filled. What number of apartments filied produces the maximum revenue? Answer How to enter your answer (opens in new window) Keypad Keybdard Shortcuts apartments

Step 1 ：The total revenue for Fred's Estates UC is given by the function \(R(x)=400x-0.5x^{2}\), where \(x\) is the number of apartments filled.

Step 2 ：The revenue function is a quadratic function. The maximum value of a quadratic function \(ax^2 + bx + c\) is achieved at \(x = -\frac{b}{2a}\).

Step 3 ：In this case, \(a = -0.5\) and \(b = 400\).

Step 4 ：We need to calculate \(x = -\frac{400}{2*(-0.5)}\) to find the number of apartments that produces the maximum revenue.

Step 5 ：\(x = 400\)

Step 6 ：Final Answer: The number of apartments filled that produces the maximum revenue is \(\boxed{400}\).