Based on the graph, the number of salespeople that maximizes the company's profit is D: 37.
The graph shows the relationship between the number of salespeople a company employs and its monthly profit. The profit increases as the number of salespeople increases, but at a decreasing rate. The company's profit is maximized when it employs 37 salespeople.
The graph depicts a quadratic function, with the vertex at approximately 37 salespeople. This means that the company's profit is highest when it employs 37 salespeople. Before this point, the profit increases as the number of salespeople increases, but at a decreasing rate. After this point, the profit starts to decrease as the number of salespeople increases. This is because, as the company hires more salespeople, the cost of hiring and training them starts to outweigh the additional revenue they generate.
Therefore, the correct option is D: 37.
The question probable may be:
Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
A. 25
B. 50
C. 55
D. 37