Check the file: Questions.pdf

**Subject Mathematics Numerical Analysis**

Check the file: Questions.pdf

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1.

clear; clc; close all;

f=[-30;-30;-35];%Objective function coeff. which is maximization of profit or minimization of negative profit

A=[7 5 13;1 2 4;1 1 1];%Inequality constraints

b=[3000;1100;450];%RHS of inequality constraints

lb = zeros(3,1);%Lower bounds of the 3 variables

[x,fval,exitflag,output,lambda] = linprog(f,A,b,[],[],lb);%Solve the LP problem

fprintf('Optimized maximum profit is %8.4f for following weekly production.\nx1=%6.2f, x2=%6.2f and x3=%6.2f\n\nSolution is matching with the graphically solved solution.\n\n',-fval,x(1),x(2),x(3));...

clear; clc; close all;

f=[-30;-30;-35];%Objective function coeff. which is maximization of profit or minimization of negative profit

A=[7 5 13;1 2 4;1 1 1];%Inequality constraints

b=[3000;1100;450];%RHS of inequality constraints

lb = zeros(3,1);%Lower bounds of the 3 variables

[x,fval,exitflag,output,lambda] = linprog(f,A,b,[],[],lb);%Solve the LP problem

fprintf('Optimized maximum profit is %8.4f for following weekly production.\nx1=%6.2f, x2=%6.2f and x3=%6.2f\n\nSolution is matching with the graphically solved solution.\n\n',-fval,x(1),x(2),x(3));...

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