Suppose you are given the following information for a particular individual consuming two goods, a and b: Pa = $3, Pb = $4, MU₂ = 100, MU, 200, and income (m) = $200. = a) Sketch the budget set. What is the slope of the Budget Line? What are maximal possible consumptions of a and b? b) What is the MRSab for the two goods? c) Is this person maximizing her utility? How can you tell? d) Should she consume more of good a or of b? Explain. e) Why can't you tell what her optimal bundle is? Explain.