Question

a small manufacturing and whole sale company estimates that its daily profit P in doars is P(x) = 10x - 0.01x raised to the power of 2.
a) How many items must be sold daily for the maximum profit?
b) What is the maximum daiy profit?

Answer 1

P(x) = 10x -0.01x^2
P'(x)= 10 -0.02x =0 for min/max

0.02x= 10
x= 500

then sub this into the formula

P(500) = 10(500) - (0.01)(500^2) = $2500

Answer 2

thanks