SOLUTION: A salesperson finds that her saStules average 40 cases per store when she visits 30 stores a week. Each time she visits an additional store per week, the average sales per store de

Question 1089043: A salesperson finds that her saStules average 40 cases per store when she visits 30 stores a week. Each time she visits an additional store per week, the average sales per store decreases by 1 case. How many stores should she visit each week if she wants to maximize her sales?
It is asking for the vertex I think.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
They are really asking for the x-coordinate (or the axis of symmetry for the quadratic function total sales as function of number of stores visited.
Hulu are told average sales per store, , is a linear function of (number of stores visited).
It is <---> ,
with a slope of , and
going through the point with for .
Total sales is given by
or ---> .
The vertex is a maximum an happens for .
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