1. Chapter 2 Optimization Techniques and New Management Tools www.slideshare.net/themhk

2. www.slideshare.net/themhk Equations: TR = 100Q - 10Q 2 Tables: Graphs:

3. www.slideshare.net/themhk AC = TC/Q MC =  TC/  Q

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7. www.slideshare.net/themhk The derivative of Y with respect to X is equal to the limit of the ratio  Y/  X as  X approaches zero.

8. www.slideshare.net/themhk Constant Function Rule: The derivative of a constant, Y = f(X) = a, is zero for all values of a (the constant).

9. www.slideshare.net/themhk Power Function Rule: The derivative of a power function, where a and b are constants, is defined as follows.

10. www.slideshare.net/themhk Sum-and-Differences Rule: The derivative of the sum or difference of two functions U and V, is defined as follows.

11. www.slideshare.net/themhk Product Rule: The derivative of the product of two functions U and V, is defined as follows.

12. www.slideshare.net/themhk Quotient Rule: The derivative of the ratio of two functions U and V, is defined as follows.

13. www.slideshare.net/themhk Chain Rule: The derivative of a function that is a function of X is defined as follows.

14. www.slideshare.net/themhk Find X such that dY/dX = 0 Second derivative rules: If d 2 Y/dX 2 > 0, then X is a minimum. If d 2 Y/dX 2 < 0, then X is a maximum.