Applied Mathematics for Business and Economics

7 Concavity and the Second Derivative Test ......................................................

8

8.3 Elasticity and the Total Revenue ............................................................

Ch r
1

Partial Derivatives ............................................................................................

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5 a

5.2 The Lagrange Multiplier .........................................................................

hapter Exercises ...................................................................................................

Ch
1
1.1 Graphing a Linear Inequality in Two Variables .....................................

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Cha E

ibliography ............................................................................................................. 81

Applications to Business and Economics ........................................................

8.1 Elasticity of Demand ..................................................................................... 34

8.2 Levels of Elasicity of Demand ................................................................

Chapter Exercises ...................................................................................................

apte 3 Functions of Two Variables

Functions of Two Variables .............................................................................

2
2.1 Co utation of Partial Derivatives ........................................................
2.2 Second-Order Partial Derivatives ...........................................................

3 The Chain Rule; Approximation by the Total Differential ..............................
3.1 Chain Rule for Partial Derivatives ..........................................................
3.2 The Total differential ..............................................................................
3.3 Approximation of Percentage Change ....................................................

4 Relative Maxima and Minima .........................................................................

Lagr nge Multipliers ........................................................................................

5.1 Contrained Optimization Problems.........................................................

C

apter 4 Linear Programming (LP)

System of Linear Inequalities in Two Variables ..............................................

1.2 Solving Systems of Linear Inequalities ..................................................

2 Geometric Linear Programming .............

pter xercises ....................................................................................................... 77

B