How to solve the following equations with a given data. I need the correct coding to solve .

Question

shunmugam hemalatha 2020-6-30

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https://ww2.mathworks.cn/matlabcentral/answers/556996-how-to-solve-the-following-equations-with-a-given-data-i-need-the-correct-coding-to-solve

评论： shunmugam hemalatha 2020-6-30

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

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madhan ravi 2020-6-30

or a picture from where you took these equations.

shunmugam hemalatha 2020-6-30

Good morning sir,

Actually, they have given in a different notation. Also, I got the answer for r =247.5 by substituting the value of Q = 1455. (Just for verification)

The only problem is to find the 'Q', which is obtained by solving the equation (what i have given ), thereby substituting the equation 'r' in that. So that I need your help.

Thank You very much for your response.

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Answer 1

madhan ravi 2020-6-30

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https://ww2.mathworks.cn/matlabcentral/answers/556996-how-to-solve-the-following-equations-with-a-given-data-i-need-the-correct-coding-to-solve#answer_458860

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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)