The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 150. The vertex is (75,10000).

The maximum profit of
dollars is reached when
items are produced.

The first root tells us that the profit will be 0 when
products are produced. The second root says once
items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 75.)