The weekly profit of a company is modeled by the function w = –g2 + 120g – 28. The weekly profit, w, is dependent on the number of gizmos, g, sold. If the break-even point is when w = 0, how many gizmos must the company sell each week in order to break even?

120 gizmos.

Explanation:

We have been given that the weekly profit of a company is modeled by the function . The weekly profit, w, is dependent on the number of gizmos, g, sold. The break-even point is when  .

To find the number of gizmos the company must sell each week in order to break even, we will substitute in profit function as:

Now, we will use quadratic formula to solve for g.

We will take the larger value for the number of gizmos.

Therefore, the company must sell 120 gizmos each week in order to break even.

answernaturalistic observation;