The total cost of producing `x` radio sets per day is `R sdot((x^2)/4 35 x+25)` and the price per set at which they may be sold is `R sdot(50-x/2)dot` Find the daily output to maximize the total profit.

Explanation

To find the daily output to maximize the total profit from producing `x` radio sets, we will follow these steps:

### Step 1: Define Revenue and Cost Functions
The total revenue \( R \) from selling \( x \) radio sets is given by:
\[ R = x \left(50 - \frac{x}{2}\right) = 50x - \frac{x^2}{2} \]

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