How to solve the following equations with a given data. I need the correct coding to solve .
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clc
clear all
D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
lamda=0.09;
beta=0.1;
syms Q,r
solve(Q,r);
r=(( Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D))*b)/(((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));
Q=(2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+lamda))-((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)));
r=solve(subs(Q));
Answer Q=1455 and r = 247.5
4 Comments
Answers (1)
madhan ravi
on 30 Jun 2020
The below code is the way to solve them but the answer is no way near to get what you want , you have to experiment yourself to check if you input the eqautions properly.
D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
Lamda=0.09;
beta=0.1;
syms Q r positive
eq = [ ((Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D)*b) /...
(((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));...
(2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+Lamda))-...
((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)))];
[Q,r] = solve(eq,'real',1)
double(Q)
double(r)
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