how to optimize this solution??

clc
clear all
close all

syms b d

VNX = ((80*415*0.8*d)/250)+(0.16*sqrt(20)*b*d)+((0.48*70590)/sqrt(20))==175000;

assume(300<b<700)
assume(300<d<700 )

sol = solve([VNX], [b,d]);
bx = sol.b
dx = sol.d

i am getting a solution for it but i want an optimal one

any help regarding it??

Answer 1

[Walter Roberson]

You have a single equation in two variables. When you solve() it you are going to get an equation in one variable. In particular since you listed b first, sol.b will be an equation in d and sol.d will be d (that is, d can assume any value.) You can then solve() sol.b() for your boundary conditions of your assumptions on b, which will allow you to narrow the range of d to consider.

But within that range of d, roughly 300 to 521, there is a solution for b for each value of d.

In order to get an "optimal" solution you need to define what "optimal" means for this situation. Smallest b? Smallest d? Largest b? Largest d?

[abdul haakim mohammed]

minimum of either of the two b or d any one amongst them would be sufficient but both of them would be very much helpful