. You, a consumer, live in a world with two goods, x and y. Your utility function over bundles of the goods is u(qx, qy ) = (qx 2) × (qy 6). (a) Find the function that is your marginal utility of good x, at a general bundle (qx, qy ). Hint: this function will have qy in it, but not qx. (b) Find the function that is your marginal utility of good y, at a general bundle (qx, qy ). Hint: this function will have qx in it, but not qy . (c) Use your answers from (a) and (b) to find the function that is your marginal rate of substitution at a general bundle (qx, qy ). Hint: this function will have both qx and qy in it. Someone offers to trade you 9 units of good y for 3 units of good x.