1. 3.7 Optimization

2. Steps: Write a function to Maximize or Minimize.
Use any additional info to write a 2nd equation.
Substitute 2nd equation into 1st equation to eliminate extra variable – state the domain of this function.
Use calculus to find the Min/Max.
Answer the question with UNITS!

3. Ex 1: A farmer has 2400. feet of fencing to fence
Ex 1: A farmer has feet of fencing to fence a rectangular field that borders a river. Find the maximum area that can be enclosed.

4. Ex 2: You need to. manufacture a cylindrical
Ex 2: You need to manufacture a cylindrical can that holds K liters of oil. Find the dimensions that minimize the cost of the can. (1L = 1000cm3)

5. Ex 3: Find the point on the. parabola y2 = 2x that is
Ex 3: Find the point on the parabola y2 = 2x that is closest to the point (1, 4).

6. HW – 3.7 pg. 223
# 3 – 13 odds,
19, 21, 23, 27,
41, 47, 49