maximize the values of given variables.

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i have function A in two variables A(x,y) whose value is known. i have been provided with a table having some values of A at a particular value of x and y that is A(x1,y1) = some integer (for example)

A x y
First value1 value 1
Second value2 value2

(table is just to explain data format)

I need to find the value of x and y where the A has the maximum value and also the maximum value of A by using a minimum of data provided that is provided in the table.

So my question is :

  1. Do I need to formulate the equation for A.
  2. What is the method to solve such a problem. please mention all method if know them, so that I will find the best one as per the use case.

P.S: I can use computer for calculation if any method requires it.

Thank you!!!

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I'm not sure I have understood correctly, but can't you just look at all values of the A-column in your data, find the one that is largest, and then read off the x,y values next to it?