I need to maximize the profit function π=50x+10y subject to the constraints x,y≥0 and x-y≤3 and 5x+2y≤20 using KKT conditions.
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1$\begingroup$ Why did you tag this "nonlinear" optimization when everything is linear? Because everything is linear, there is no need for KKT conditions, either. Graph the region. Note where the corners are, Try your function at each corner. Your maximum is whichever corner is highest. $\endgroup$ – Paul Sinclair Dec 3 at 0:23
