1. Suppose that the representative consumer in chapter 4 has the followingconsumption and labour supply functions:C =1456 w/1 + 9/w, Ns = 1456 −13104/9 + wFurther assume that the consumer’s total time endowment is h = 1456.(a) Calculate the value of consumption, labour supply and leisure when w = 20.(b) Calculate the value of labour supply w = 30.(c) Recall that the response of labour supply to a change in the real wage rate w isdriven by a substitution effect as well as an income effect. In this exercise, whichof these two effects dominates? Provide a brief (worded) explanation.2. Suppose that the representative consumer in chapter 4 has the followingutility function:U(C, ℓ) = ln(C) + θ (ℓ^1−α/ 1 − α’) θ > 0 Calculate the marginal utility of consumption, the marginal utility of leisure and theconsumer’s MRSℓ,C.3. Suppose that the representative consumer in chapter 4 has the followingMRSℓ,C:MRSℓ,C = θ(C/ℓ)Recall that the consumer’s budget constraint is C = wh − wℓ + Π − T.Derive the consumer’s consumption function.