Consider a consumer with utility function(, ) = min{2, 4}and let, , denote the price of good x, the price of good y and the consumer's income respectively.

a)Graph the indifference curves.

b)If= 1,= 2, = 100calculate the optimal quantity demanded of x and y.

c)If= 3,= 2, = 200, calculate the optimal quantity demanded of x and y.