Solve the linear programming problem by the method of corners.
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The corners of the feasible region are (0,0), (3,0), (2,2) and (0,4) Lastly, we simply evaluate the function P = x + 4y at each of the corners and see which value is biggest. Checking them all gives: P(0,0) = 0 P(0,4) = 16 P(2,2) = 10 P(3,0) = 3 So the maximum value for P occurs at corner (0,4)
the maximum value is p= 16 at (x,y)= (0,4)
What would the minimum at P be? 0? at what point?
P=0 at (0,0)
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