Question I Assume the aggregate production is produeed using the technology function Y = 22v\"? and the utility of the representative consumer is given by U{C.l. l} = lnfl. This utility function implies, in particular? that the consumer does not value leisure. Let's assume that G = T = CI. The consumer has a total number of h, = 1 hours to split between leisure and work time; The consumer receives a dividend a. For each hour worked? the consumer receives a real wage 11:. Note that the 11' and to are unknown parameters which will be determined in the equilibrium. Your answers to the following questions may depend on these two pa- rarneters. 1. Write down the consumer's budget constraint. 2. Solve the consumer's problem and solve for the optimal {3\" and N3. 3. Solve the rm's problem and derive the optimal labour demand Nd. 4. Compute the equilibrium wage, consumption1 prot and employment in this economy. 5. How do these variables react to an increase in total productivity factor 2