MATLAB: Optimization Routine for two equations, three unknowns

equationsoptimization

Hi,

I am trying to set up a basic optimization routine in matlab.

Equation 1: 3.6*x*y = 750

Equation 2: 19.8*x*y*z = 800000

x = 6:1:12

y = 20:1:40

z = 150:1:250

Is there a tool/method to solve/optimize this ?

Thank You.

Best Answer

>> [X,Y,Z] = ndgrid(6:12,20:40,100:150);
>> mask = (3.6.*X.*Y == 750) & (1.98.*X.*Y.*Z == 800);
>> nnz(mask)
ans =
     0

There are no solutions under those constraints.

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syms x y z k
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eqn = X == k * [0 1 6; 4 0 4; 0 1 0] * X
eqn = 
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    y: [1×1 sym]
    z: [1×1 sym]
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sol.y
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sol.z
ans = 0

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