2 2 Suppose that a consumer's utility is given by u (x, y) =4x - + 4y , in which case the marginal utilities will be given by MU = and MU x respectively. x Given arbitrary prices for good x, good y, and income (P , P , and /, respectively), solve for the consumer's demand for good x. That is, your final equation should have the optimal value of x on the left hand side, and some combination of P , P , and / on the right hand side. O I . P X = : or, simplified, x = 25 ( P P P + 25 (P )2 P + X P O X= P O J . P X= or, simplified, x = P 2 PP + X P 2 P + PO I . P , Or, simplified, X= PP + P 2 X P + P