Question 982996
The profit of a company can be modeled using the rule P = -C2 + 10C - 16 where P represents the profit and C represents the cost of the item sold.
:
p(c) = -c^2 + 10c - 16
:
What cost will produce the maximum profit?
Max will occur at the axis of symmetry; Find that using x = -b/(2a)
In this equation
x = c
b = 10
a = -1
c = {{{(-10)/(2*-1)}}}
c = 5
:
Max profit occurs when price is $5