I have an equation with 3 variables that each have an allowable range of values, how can I compute all possible solutions by picking from the allowable range of values at random?

The equation is quite simple:

F = E * B + Q * (B/K)

B stays constant

E, Q, and K all have an allowable range in values

E can be 0.02 to 0.06

Q can be 250 to 500

K can be 1E+4 to 1E+6

I simply want to evaluate the equation and see all the possible values for F by 'picking' from the allowable ranges at random. Essentially, it is a simple Monte Carlo, however it is not so simple to figure out how to achieve this in MATLAB at present for me. Any advice would be greatly appreciated.

Answer 1

[Mohammad Sami]

B = 1.71E11;
F = @(E,Q,K) E.*B + Q.* (B./K);
mnE = 0.02;
mxE = 0.06;
numval = 100;
E = rand(numval,1) .*(mxE-mnE) + mnE; % generate 100 values for E
mnQ = 250;
mxQ = 500;
Q = rand(numval,1) .*(mxQ-mnQ) + mnQ; % generate 100 values for Q
mnK = 1E4;
mxK = 1E6;
K = rand(numval,1) .*(mxK-mnK) + mnK; % generate 100 values for K
out = F(E,Q,K);

[Travis Clow]

Simpler than I expected! Thank you very much.