7 Concavity and the Second Derivative Test ......................................................
8
8.3 Elasticity and the Total Revenue ............................................................
Ch r
1
Partial Derivatives ............................................................................................
mp
5 a
5.2 The Lagrange Multiplier .........................................................................
hapter Exercises ...................................................................................................
Ch
1
1.1 Graphing a Linear Inequality in Two Variables .....................................
.........................................................
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