A system identification problem of estimating parameters in the profit analysis model for a product

A system identification algorithm with Levenberg-Marquardt method is developed to estimate the parameters that were used in the model of profit analysis for a product from the observed expected total profit. The inverse calculations are performed based on the simulated exact and inexact observed total profit to show the validity of the present study. Moreover, the statistical analysis will also be considered here to determine the standard deviation for the estimated parameters. Results show that the standard deviations of the estimated parameters are decreased as the number of observed profits are increased. Finally the sensitivity analysis is performed to show the validity of some results obtained by statistical analysis.