2. Ann has started working and is saving to bu}r a house, which requires a downpayment of of. She has a monthly income of y and faces goods prices pa and p5. Ann's utility function is given by u : 51an +(1l-3)lna:b. Her minimum standard of living renders a utility of no. Solve for the minimum number of months it takes for Ann to save up to the downpayment, as a function of (di yau:Pmpbl