You are designing a rectangular garden. The garden will be enclosed by fencing on three sides and by a house on the fourth side. You want the garden to have an area of140 square meters, but you want to minimize the amount of fencing that you need. How many meters of fencing do you need to enclose the garden?
Optimization Problems – Geometry
Determine the area of the largest rectangle that can be inscribed in a circle of radius 5.
Optimization Problems – Economics & Science
A concert promoter has found that if she sells tickets for $50 each, she can sell 1200 tickets, but for each $5 she raises the price, 50 less people attend. What price should she sell the tickets at to maximize her revenue?