A consumer has preferences on Amazon original shows (x), and the composite good (y) described as u(x,y) = x^2y (HINT: MUx = 2xy and MUy = x^2 ) and she has I = $300 budget in total. Assume py = $1, so we can think of y as the saved dollars in her pocket for other uses. Now, if she is not an amazon prime member, each show costs px = $10, but if she is a prime member, then px = $4. Amazon prime membership costs $120.

(a) Draw her feasible budget set on the x-y axis for the no-prime-membership case, and the prime-membership case, separately.

(b) If she chooses not to be a prime member, what is her optimal bundle (x,y) ?

(c) If she chooses to become a prime member, what is her optimal bundle (x,y) ?

(d) What is her optimal utility in (b)?in (c)? Would she want to become a prime member?