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all right so we are going to graph constraints and find a feasible region and then from that feasible region were gonna maximize value so on number one go ahead and just graph those four lines most of them are going to be pretty simple affect all of them are going to be pretty simple X is greater than or equal to zero so I know that x equals is just vertical at 0 greater than is going in a positive direction so when your vertical think positive think to the right ok now Y is greater than or equal to zero thats a horizontal line at zero so youre also going to make a horizontal line at y equals 0 and if it helps you well put the equations next to the line so that we know which ones which ok so I know that Im greater than both of those meaning that basically Im in quadrant one right now so all of this other part is not really a part of our answer anymore were cutting out parts that we dont want until we have a small region left all right now Ive got a couple linear here so the f