Airplane ticket cost $200 if between 0 and 50 passengers are on the plane.
However, for each additional passenger over 50, the price per ticket is reduced by $2 for all passengers.
For example, if there are 52 passengers, then the cost per ticket for all passengers is $196.
How many passengers will produce the maximum revenue?
Optimization Problem
Find the dimension of a small rectangle with an area of 1000 m², whose perimeter
is as small as possible.
Find the derivative of f(x) = tan² (sinx³)
Problem:
A container in the shape of a right circular cylinder with no top has a surface area of 3Ï€ ft.². What height (h) and base radius (r) will maximize the volume of the cylinder?
Answer:
V= Ï€ft.³ is the largest possible volume of the cylinder
2.) Airplane tickets cost $200 if between 0 and 50 passengers are on the plane. However, for each additional passenger over 50, the price per ticket is reduced by $2 for all passengers. For example, if there are 52 passengers, then the cost per ticket for all passengers is $196, How many passengers will produce the maximum revenue?
1.) You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara Falls. I can fit in a barrel with a volume equal 1 cubic meter. The material for the lateral surface costs $18 per square meter. The material for the circular ends costs $19 per square meter. What are the exact radius and height of the barrel so that cost is minimized?
Differentiate:
f(x) = log e (x²+3x+1)
⸫ solutions
Answer:
f(x) = 2x+3
x²+3x+1
