imal choice when the consumer faces a budget 3x+y=225? call this bundle A(25,150) b)Suppose Px becomes 5, giving us 5x+y=225, what is the new optimal?...

U(X,Y)=lnx +2lny

a) what is the optimal choice when the consumer faces a budget 3x+y=225? call this bundle A(25,150)

b)Suppose Px becomes 5, giving us 5x+y=225, what is the new optimal? with bundle (15,150)

c)Suppose  the consumer's income increases to M, find M if it is known that bundle A is on the new budget line 5x+y=M (275)

d)What is the consumer's optimal choice with budget 5x+y=M (18 and 1/3, 183) (use M that you found in part C) call this bundle D