Greg Tobin sells bottled water. He has found that the average amount of time he spends with each customer is related to his weekly sales volume by he function
f(x)=x(60-x),
where x is the number of minutes per customer and f(x) is the number of cases sold per week.
(a) How many cases does he sell if he spends 10 minutes with each customer?
20 minutes? 45 minutes?
(b)Choose and appropriate scale for the axes and sketch the graph f(x). Mark the points on the graph corresponding to 10, 20 and 45 minutes.
(c) Explain what the vertex of the graph represents.
(d)How long should Greg spend with each customer in order to sell as many cases per week as possible? If he does, how many cases will he sell?
For part a, just substitute the numbers given into the equation.
for example: 10(60-10) for the first one.
b) You might want to choose a scale starting at 0 go by 5's or 10's up to 50 minutes.
Plot the points you got in part A.
What is a vertex of a graph? It is often known as the turning point which is either a max or a min.
d) you should be able to get this from the graph.