Here are the questions:
I have posted a link to this topic so the OP can see my work.What is the function and answer to these optimization questions?
1. A piece of wire 40 cm long is to be cut into two pieces. One will be bent to form a circle; the other will be bent to form a square. Find the lengths of the two pieces that cause the sum of the area of the circle and the area of a square to be a minimum.
2. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum value?
3. The concentration in mg/cm^3, of a particular drug in a patient's bloodstream is given by the formula C(t) = (0.12t) / (t^2+2t+2), where t represents the number of hours after the drug is taken.
a) Find the maximum concentration on the interval 0<=t<=4.
b) Determine when the maximum concentration occurs