Optimization Flashcards
1
Q
Find two positive integers whose product is 100 and whose sum is a minimum
A
2
Q
A farmer wants to fence a rectangular garden with 2400 m of fencing material. He does not need a fence along his house. What are the dimensions that maximize the area of the garden?
A
3
Q
A box with an open top is to be constructed from a piece of square cardboard, 3ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume such a box can be.
A
4
Q
Suppose you have a cylinder with a volume of 21.66 m3. What should the radius and height of the cylinder be so that it uses the least amount of material?
A
