ASSIGNMENT #1

MATHEMATICAL MODELS

1. In Chapter 3, a two variable table was demonstrated for the Product Life Cycle. This example performed a sensitivity analysis using a range of values. Use Excel to construct a product life cycle yourself.
   
2. Construct a similar tables using mathematical models of the form:
   
   linear: y = a₀ + b₁X₁ + b₂X₂
   
   power series: y = a₀ + b₁X₁ + b₂X₂²
   
   fractional root: y = a₀ + b₁X₁^b where 0<b<1
   
   Gompertz function: (a1 is raised to the a2 power, and a2 is raised to the x power)
   
   
3. A single variable power function (Nonlinear, but linearizable): y = a₀ x₁^a1
   
   where a₁<0, a₁>1, 0< a₁<1, a₁=1, and a₁=0