Question

A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = −25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?

Answer 1

please help me out
i don't know how to find, without derivatives

Answer 2

@ganeshie8

Answer 3

any idea on how the graph of given function looks like ?

Answer 4

yeah sure parabola downwards

Answer 5

ohh i see the vertex

Answer 6

yes, just find the vertex

Answer 7

but how ?

Answer 8

can you show me?, please

Answer 9

\(\large f(x) = ax^2 + bx+c\)
x coordinate of vertex = \(\large \dfrac{-b}{2a}\)

Answer 10

ohh ok ...o Demonstrate your solution for both the number of clerks that will maximize the profit as well as the total maximum profit possible, making sure to include all mathematical work and an explanation for each step.

Answer 11

so in order to solve the last part, i just have to show all the steps finding the vertex

Answer 12

?