3d plot and optimization

I am attempting to plot a mesh 3D graph that displays how Cost varies with t, T and P. I then want to solve this graph to find the coordinates that gives the minimum value of Cost. This is the equation relation time, pressure, temperature to cost:

C = (t/60) + (0.18*(T-1073)*(t/3600)) + (1.75*(P/6894.76)*(t/3600));

This is the code I currently have and it doesn't seem to work

T=1073:1:1223;

t=1418.4:86.54:14400;

P=533984.04:4254.16:1172108.74;

[tm,Tm,Pm] = meshgrid(t, T, P);

C = (tm./60) + (0.18.*(Tm-1073).*(tm./3600)) + (1.75.*(Pm./6894.76).*(tm./3600));

figure(1)

mesh(t,T,P,C)

grid on

xlabel('t')

ylabel('T')

zlabel('P')

[darova]

• I then want to solve this graph to find the coordinates that gives the minimum value of Cost

What about min function?

Answer 1

[Alan Weiss]

It is hard to plot a function of three variables. For some approaches, see Plot 3-D Solutions and Their Gradients (this uses PDE Toolbox, but you don't need to have PDE Toolbox to understand or use the plotting ideas).

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation