Assume that a consumer smooths her consumption over time; the interest rate is zero (r=0). The consumer lives for 4 periods: and in each period her income is as follows:Y1=10 Y2=40 Y3=50 Y4=0 Referring to a life-cycle hypothesis: A)Calculate consumption and savings in each period,assuming there are NO liquidity constraints B)Go back to A) Assume now the consumer's life becomes longer and she will live for 5 periods and in 5th period her income is zero (Y5=0) and all remaining income is unchanged. How will this change affect consumer's savings in periods 1 to 4 - will they increase, decrease or stay the same? Please explain, but calculations are not necessary