Question: TreeTop, a tech startup in Utah, is opening a new plant to produce their 50" 4K SmartTV. They are interested in finding the ideal price point to sell the televisions and maximize their profit. Based on market research, they have come up with the following regression-based models.

Price-demand function
Revenue function
Cost function
Average Cost per unit function
Profit function

x is the number of TV's manufactured per day, functions are in dollars

1. Using the revenue function and the cost function, find the break-even points (when revenue is equal to cost). For what value of x will TreeTop incur a loss? For what value of x will TreeTop make a profit?