ECONOMIC OPTIMIZATION

1. LOGARITHMIC FUNCTION

2. CONCEPT OF MARGINAL

3. TOTAL & MARGIN PROFIT

4. PROFIT RELATION

4.1. PROFIT MAXIMIZATION

5. INCREMENTAL CONCEPT IN ECONOMICS ANALYSIS

5.1. MARGINAL VS INCREMENTAL ANALYSIS

5.2. INCREMENTAL PROFITS

5.3. INCREMENTAL CONCEPT

6. MATH ANALYSIS FOR MANAGERS

6.1. RULES FOR DIFFERENTIATING A FUNCTION

6.1.1. CONSTANT

6.1.1.1. dy/dx = 0

6.1.2. QUOTIENTS

6.1.2.1. dy/dx = ( V x (du/dx) - V x ( du/dx)) / v^2

6.1.3. POWERS

6.1.3.1. y = ax^b

6.1.4. LOGORITHMIC FUNCTION

6.1.4.1. dy/dx = (d In X) / dx = 1/x

6.1.5. SUMS & DIFFERENCES

6.1.5.1. u = g (x)

6.1.5.2. v = h(x)

6.1.6. dy/dx = dy/du x du/dx

6.1.7. CHAIN RULE

6.1.8. PRODUCT

6.1.8.1. dy/dx = V x (dv/dx) + V x (du/dx)

6.2. DISTRIBUTIVE PROPERTIES

6.3. PROPERTIES OF REAL NUMBER

6.3.1. TRANSITIVE PROPERTY

6.3.2. ASSOCIATIVE PROPERTIES

6.3.3. COMMUTATIVE PROPERTIES

6.3.4. INVERSE PROPERTIES

6.3.5. EXPONENTS & RADICAL

6.4. LINEAR OPERATIONS

6.5. EQUIVALENT OPERATIONS

6.6. EQUATIONS

6.6.1. QUADRATIC OPERATION

6.6.2. EXPONENTIAL FUNCTIONS

6.6.3. MULTIPLICATIVE OPERATIONS

7. PROSES

7.1. MAXIMIZING THE VALUE OF THE FIRM

7.2. OPTIMAIL DECISION

8. REVENUE RELATION

8.1. DEMAND & TOTAL REVENUE

8.2. MARGIN REVENUE

8.3. REVENUE MAXIMIZATION

9. COST RELATION

9.1. TOTAL COST

9.1.1. AVERAGE COST MINIMIZATION

9.2. MARGINAL & AVERAGE COST

10. MULTIVARIATIVE OPTIMIZATION AND LAGRAGIAN TECHNIQUE

10.1. PARTIAL DERIVATIVE CONCEPT

10.2. MAXIMIZING MULTIVARIATE FUNCTIONS

10.3. CONSTRAINED OPTIMIZATION

10.3.1. ROLE OF CONSTRAINTS

10.3.2. LAGRAGIAN MULTIPLIES