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 ).