1) A company manufactures and sells x items per week. The weekly price-demand and cost equations are:
p = 400 - 0.4x
C(x) = 2000 + 160x
a) What price should the company charge to maximize revenue? How many units should be produced each week to maximize revenue? What is the maximum revenue?
b) What is the maximum weekly profit? How much should the company charge and produce to maximize profit?
2) C(t) in milligrams per cubic centimeter of a particular drug in a person's blood stream is
C(t) = 0.16t / (t^2 + 4t + 4) where t is the number of hours after drug is taken.
How many hours after the drug is taken will the concentration be maximum? What is the maximum concentration?