You were named District Manager of the Month at BeBop Records due to a hiring study you conducted. Your study showed that each of 30 salespersons that you supervise average $50,000 in sales each month. Your study also showed that for each new salesperson hired, the average monthly sales would decrease $1,000.

You presented this study to the company's CEO. What is the maximum average sales the company can expect with all it's salespersons?

Hint: Let x represent the number of new salespeople.

Total monthly sales = (number of salespersons)(average monthly sales each)

Question

You were named District Manager of the Month at BeBop Records due to a hiring study you conducted.  Your study showed that each of 30 salespersons that you supervise average $50,000 in sales each month.  Your study also showed that for each new salesperson hired, the average monthly sales would decrease $1,000.  

You presented this study to the company's CEO.  What is the maximum average sales the company can expect with all it's salespersons?

Hint: Let x represent the number of new salespeople.  

Total monthly sales = (number of salespersons)(average monthly sales each)