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

What is matlab, What is matlab What is matlab

3-A-Day, Savannah says that the least common multiple of 4 and 6 is 24. Is ... Savannah says that the least common multiple of 4 and 6 is 24. Is she right or what is her mistake?

Matrix inverse, how to find matrix inverse using matlab command how to find matrix inverse using matlab command

Kkkk, nbn nbn

Pre- dicting and plotting., You will need to implement at least two Matlab... You will need to implement at least two Matlab functions: HW3main.m and svmTrain.m. The implementation details are as follows: function [alpha] = svmTrain(X,T,kernel,C,sigma) %

Matlab script that will prompt the user to enter the launch , Consider the ... Consider the analytic solution of the projectile problem described. Write a MATLAB script that will prompt the user to enter the launch speed and angle, and will compute the peak h

Creating row vectors, Creating row Vectors: There are many ways to gen... Creating row Vectors: There are many ways to generate row vector variables. The most important way is to put the values which you want in the vector in square brackets, separa

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

Matlab function to find and plot the dft, It is desired to determine the DF... It is desired to determine the DFT of the analogue signal x (t) = 25 cos(10 Πt)cos(400Πt). (a) Find the Nyquist rate of the signal.   (b) What is the record (signal) length i

Expand a matrix, Expand a matrix: To expand a matrix, an individual el... Expand a matrix: To expand a matrix, an individual element could not be added as that would mean there would no longer be the similar number of values in every row. Though,