AP Calculus 

Optimization and Modeling

Types of Problems:

​#5 Inscribed rectangle,
#7 Optimal box volume (no top),
#13 Minimization of paper used,
​#15 Maximization of a triangle's area,
​#25 minimization of average cost

Homework

Solutions

Video and other resources
#2 maximize area based on given right triangle and hypotenuse
#4 maximize area of rectangle based on perimeter
#6 Inscribed rectangle
#18 Optimal Box Volume (with lid)
#20 Quickest Route
#24 Maximize Profit
#26 Minimize Average Cost
#29 Cubic polynomial theory
not available yet HWK check thursday
Scenario 1: Corner cut rectangular prism volume

Scenario 2: Given SA triangular prism volume

Scenario 3: Maximize area based on perimeter

​Scenario 4: Maximize cone volume based on slant height
Determine marginal cost, marginal profit, and marginal revenue functions

Determine average cost function

Determine production level that will minimize average cost

Determine production level that will maximize profit

​Determine rate of change of revenue, cost, and profit functions 

AP Calculus Additional Resources