Question

A company’s monthly profit, y, in relation to the number of salespeople employed, x, is shown on the graph. The graph shows Company Profits Sales people on the x-axis and Monthly Profit in dollars on the y-axis a curve passes through with dots at (5, 500), (10, 1000)  (10, 1500), (15, 3500), (15, 4500), (15, 5000), (20, 6000), (20, 6500), and (30, 6000) Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits? A. 55 B. 25 C. 37 D. 50

Answer 1

The number of salespeople that maximizes the company's profits according to the quadratic model, based on the provided graph, is inferred to be between 20 and 30, with the closest option being 25. So, the correct option B.

To determine the number of salespeople that maximizes the company’s profits based on a quadratic model using the provided graph we need to look for the vertex of the parabola that the data points hint at. Since we have data that forms a curve, we can assume that the profit (y) reaches its maximum at the vertex of this parabolic curve.

Given the data points (20, 6500) and (30, 6000), it seems that profit begins to decline after reaching a peak at some point between these numbers of salespeople (x). The number of salespeople that maximize profit is not directly listed, but we can infer from the graph that it falls somewhere between 20 and 30 salespeople, which most closely corresponds to option B, which is 25 salespeople.