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

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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) About Me  (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, a , is a linear function of x (number of stores visited).
It is a-40=-1%28x-30%29<--->a=-x%2B70 ,
with a slope of -1 , and
going through the point with a=40 for x=30 .
Total sales is given by
y=a%2Ax or y=%28-x%2B70%29x--->y=-x%5E2%2B70x .
The vertex is a maximum an happens for x=%28-70%29%2F%282%28-1%29%29=35 .