Solve the optimality condition for each P equation against M according to the following relation:

Condition for Optimality:         ∇M = λ ∇P     with respect to C and T.

 Note that the ∇is the gradient vector, and λ  is a scalar (the Langrange multiplier) so that:

M is the objective function and P is the constraint function.

The solution is obtained by differentiating M and P twice ( that is one time with respect to each variable C and T.

Then finding the values of  λ. And finally substituting in the constraint function P and find the values for C and T. (( In this method we assume that  ∇P  is NOT equal to zero.))

Thus, solve for C and T: 

dM/dC  = λ  (dP/dC)      and     dM/dT  = λ  (dP/dT)

M will be the objective function, and P will be the constraint function.

Note  The total solution must be repeated three times:

∇M = λ ∇P1

∇M = λ ∇P2

∇M = λ ∇P

Posted Date: 3/22/2013 3:02:18 AM | Location : United States

Ask an Expert

Related Discussions:- Find the value of delta equation, Assignment Help, Ask Question on Find the value of delta equation, Get Answer, Expert's Help, Find the value of delta equation Discussions

Write discussion on Find the value of delta equation
Your posts are moderated

Write your message here..

Related Questions

Calculates the inverse of matrix by gauss-jordan elimination, Write a funct... Write a function that solves a system of linear equations or calculates the inverse of a matrix by Gauss-Jordan elimination. Your function should accept a matrix as an argument and

ANFIS, How to design a FIR filter using ANFIS in MATLAB How to design a FIR filter using ANFIS in MATLAB

Linear indexing, Linear indexing: This is termed as linear indexing. I... Linear indexing: This is termed as linear indexing. It is generally much better style when working with the matrices to refer to the row and column indices, although. An in

Refrigerant cycle, i want the MATLAB code for properties of refrigerant R13... i want the MATLAB code for properties of refrigerant R134a, Pentane and VCR Refrigeration cycle. Thanks

Matlab programming vector algebra, Matlab Programming Vector Algebra : Crea... Matlab Programming Vector Algebra : Create a program package for calculation of distances and intersections of lines and planes. Plot the results in a graphical representation

Grid function - plot functions, Grid function: grid shows grid lin... Grid function: grid shows grid lines on the graph. Called by itself, it is a toggle which turns the grid lines on & off. Alternatively, the commands grid on & grid off can

Generate a script, Generate a script: To generate a script, click File... Generate a script: To generate a script, click File, then New, and then M-file. The new window will appear known as the Editor. To generate a new script, simply type the serie

Missing commands, hey ! why the command sawtooth and square does not exist ... hey ! why the command sawtooth and square does not exist in Matlab R2012a?

Algebra, a=a+d(n-2) a=a+d(n-2)

Splitting a column into separate arrays, I have a file to be read in matlab... I have a file to be read in matlab which carries different columns in it. Each column has around 200000 readings in set of 2000. I want a code in a loop which gives stores each col