How I plot this ?

Please help me to plot this equation

Thanks in advance

log((1+alpha1*x/(1+alpha2*y))) -gamma*log((1+beta1*x/(1+beta2*y)));
alpha1=0.1; alpha2=0.2; beta1=0.2; beta2=1; gamma=1.3;

Answer 1

[the cyclist]

Here is one way:

alpha1=0.1; alpha2=0.2; beta1=0.2; beta2=1; gamma=1.3;

x = 0 : 0.1 : 10;
y = 0 : 0.1 : 10;

[xx,yy] = meshgrid(x,y);

f = log((1+alpha1*xx./(1+alpha2*yy))) -gamma*log((1+beta1*xx./(1+beta2*yy)));

figure
surf(x,y,f)

[the cyclist]

Answering the comment you placed here, then deleted.

alpha1=0.1; alpha2=0.2; beta1=0.2; beta2=1; gamma=1.3;

x = 0 : 0.1 : 10;
y = 0 : 0.1 : 10;

[xx,yy] = meshgrid(x,y);

f = zeros(size(xx));

figure
surf(x,y,f)

(I saw that you also emailed me, but I don't answer via email, so better to post here.)

[Hossein Alishahi]

Thank you.

But I meant

f = log((1+alpha1*xx./(1+alpha2*yy))) -gamma*log((1+beta1*xx./(1+beta2*yy)))==0

please help me in this problem

Answer 2

[the cyclist]

You can use the fimplicit function.

alpha1=0.1; alpha2=0.2; beta1=0.2; beta2=1; gamma=1.3;
f = @(x,y) log((1+alpha1*x./(1+alpha2*y))) -gamma*log((1+beta1*x./(1+beta2*y)));

figure
fimplicit(f,[0 100 0 10]) % Chose these plot limits after a little experimentation

[Hossein Alishahi]

@the cyclist

I have below code

%% Input Values

clear all

clc

alpha1=input('Enter positive "alpha1"?');

alpha2=input('Enter positive "alpha2"?');

beta1=input('Enter positive "beta1"?');

beta2=input('Enter positive "beta2"?');

lambda=input('Enter positive "lambda"?');

eta1=input('Enter positive "eta1"?');

eta2=input('Enter positive "eta2"?');

P=input('Enter positive "P"?');

%% Feasible Area

x = -1:P;m = 0; c = eta2; y = m * x + c;

plot(x, y, 'black')

y = -1:P; m = 0; c = eta1; y = m * x + c;

plot(y, x, 'black')

eta1=min (eta1,P); eta2=min (eta2,P);

if eta1==0 && eta2==0;

X=[0 0 P]; Y=[0 P 0];

fill(X,Y,[0.85 0.85 0.85]); axis([-1 P -1 P])

end

if eta1+eta2<P

X=[0 0 eta1 eta1]; Y=[0 eta2 eta2 0];

fill(X,Y,[0.85 0.85 0.85]);

else

X=[0 0 P-eta2 eta1 eta1]; Y=[0 eta2 eta2 P-eta1 0];

fill(X,Y,[0.85 0.85 0.85]); axis([-1 P -1 P])

end

X=[0 0]; Y=[0 P];

line(X,Y,'Color','black')

hold on

line(Y,X,'Color','black')

g = @(x,y) x+y-P;

y1=fimplicit(g,[0 P 0 P])

f = @(x,y) log((1+alpha1*x./(1+alpha2*y))) -lambda*log((1+beta1*x./(1+beta2*y)));

y2=fimplicit(f,[-1 P -1 P], '-')

hold on

grid on

Where I consider alpha1=1, alpha2=0.2, beta1=1; beta2=2, lambda=2, eta1=2, eta2=3, P=1

I want to find the intersection for lines in the picture. Could you please help me!

[the cyclist]

You might want to post a new question, so more people see this. I don't see the answer right away, and I don't think I'm going to get a chance to think about it more for a while.