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can we find the optimize value of a variable on which two other variables depend

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studentambitious
studentambitious 2017-7-16
关闭： MATLAB Answer Bot 2021-8-20
I have two vectors x and y whose values are calculated for different values of third parameter z. when I plotted x and y against z, both x and y are linearly rising(almost parallel) for certain values of z and after that x behaves non linearly whereas y is linear for all values of z. My question is : can I find the value of z for which ratio x/y has optimum value (high)(x should be expected to have value as high as possible whereas y should required to be low). do I need to apply linear programming or some optimization method/technique. here we can choose any relation between x and y (e.g adding weights to x and y)as an objective function in case we apply any optimization method/technique. further I have to apply the same criteria on all the rows of a matrix to calculate a value /range of x please help
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studentambitious
studentambitious 2017-7-16
编辑：Walter Roberson 2017-7-16
  1. The non linear portion is not monotonically increasing instead it increases or decreases randomly for values of z.
  2. the two vectors are of numerically experimental numeric values, but max(x./y) always shows the maximum value for z=1, as at that point x has some value but y is nearly zero. the value of x at z=1, is very less to be accepted.
Walter Roberson
Walter Roberson 2017-7-16
Any non-zero weights you might put on to x and y would be the same as a constant linear scaling, so you would always end up with the same location. I do not understand what is being optimized?

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