Examples solved in this video:

1. If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 24 -x/22. How many candy bars must be sold to maximize revenue?

2. A rectangular field is to be enclosed on four sides with a fence. Fencing costs $5 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 870 ft2 that would be the cheapest to enclose.

3. Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 60,000 units are to be made, it costs $4 to store a unit for one year, and it costs $600 to set up the factory to produce each batch. Assume that units of this item will be sold off throughout the year, so the cost equation will use the average cost.


For an introductory video lecture on optimization:
https://youtu.be/bW1O4W-qsFw

Other optimization videos:
Larry the Lifeguard: https://youtu.be/gHThELGkVto
Homework exercises: https://youtu.be/X1LNC_tTWHI
Optimization: https://youtu.be/IouSlpbjjoE

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Professor V

https://linktr.ee/mathwithprofessorv

Calculus 2 Lecture Videos on Integration:
Integration by parts: https://youtu.be/0klrkpMUsXA
Tabular Integration: https://youtu.be/pzhJciqIrzw
Trigonometric integrals: https://youtu.be/0MqaL3fwPu4
Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0
Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU
Strategy for Integration: https://youtu.be/P_smvpnX3_g
Improper Integrals: https://youtu.be/Q0zD3GjXJ1s

Trig Review:
Unit Circle: https://youtu.be/nl84YXi1_3A
Trig Identities: https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY

Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD

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