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hello everybody oh can i video on expenditure minimization we are going to be looking at how to choose a bundle of goods its similar to utility maximization and then another video will explain exactly how similar but its a different approach instead of trying to maximize utility subject to a budget constraint we are still going to have a utility function which I have chosen for this example to be cop Douglas but instead of maximizing utility our goal is to minimize expenditures P 1 X 1 plus P 2 X 2 subject to a constraint where we keep utility greater than the sum fixed level so we are trying to maintain some level of utility while minimizing expenses as much as possible alright so lets set up a Lagrangian function we need to have the first bit is our objective function and did laganja times that and thats just our constraint set equal to zero one thing Im gonna do Im gonna make an assumption here that alpha and beta are both positive and an alpha plus beta is less than or equal