What will be the maximum Sales revenue with these conditions?

1. Quantity Sold = (100 - T-shirt Price + Square Root of Banner Dollars / 2 + Square Root of Email Dollars)

2. T-shirt Price >=$50

3. at least $100 on each campaign (Banner Dollar and Email Dollar)

4. You may spend up to $1000 dollars total on advertising (we'll call this the "budget constraint").

5. Finally, you must spend exactly as much on the banner campaign as the email campaign (we'll call this the "balance constraint").