The number of salesperson to hire that maximizes total monthly sales.
Hiring
Given:
Monthly average sales are
For one additional salesperson hired the average monthly sales drop by
Concepts Used:
Determining a linear relationship using rate of change and one point.
Total monthly sales is the number of salespersons working times the average monthly sales.
Graphing a quadratic polynomial function and finding its extremum.
Calculations:
Determine the relation between the average monthly sales for each salesperson
Note that the new number of working salespersons will be:
Calculate the total monthly sales.
The total monthly sales
The total monthly sales is
Plot the total monthly sales function
The total monthly sales function
Conclusion:
Hiring
Chapter 2 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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