Optimization in One Variable

library(mosaic, quietly = TRUE)
trellis.par.set(theme = col.mosaic())

Methods

Ascent and the Newton step. How the second derivative scales the first derivative.

Settings

Cobb-Douglas Production with a Budget Constraint

Paddling upstream.

Model effort against velocity, for instance effort goes as the square of velocity. Energy is effort time time. Current is carrying you downstream. Is there an optimal effort to minimize total energy?

Airline Pricing and Capacity

Original problem statement See cost-curves.Rnw

Fitting

Finding parameters in functions. (Note that this is really about finding optima in two or more variables, so return to the subject on Wednesday.)