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this is a demonstration on how to use optimization in Python were going to have a couple elements to our problem here first of all we have an objective and we have might have other types of constraints that were subject to such as this inequality constraint so we know that the product of those four variables x1 x2 x3 x4 has to be greater than or equal to 25 the next one is going to be an equality constraint and here the product from I equals 1 to 4 of X I squared has to equal 40 we just write that out like this and then the final thing that we have with this optimization problem is that all of the variables have to be less than or equal to 5 and greater than or equal to 1 so we have some simple bounds on the variables as well and then we have some initial conditions these are going to be the initial guessed values for optimization problem where x1 is going to be 1 X 2 is 5 and so on okay so we want to program this in to Python and be able to lets have this thing over here ok our opt
