Suppose u(x,y)=min{x+y,4(x)^1/2,4(y)^1/2} , Px=1, Py=2, M=5 . Here, Px, Py and M are the price of x, price of y, and the Income.
Give an example of the optimal consumption bundle of x and y for this consumer.
I know to plot the Indifference Curve given a value of Utility,however how could I know what is the maximum utility that can be obtained in this case?