5. 20 POINTS The representative consumer has the preferences such that she wants to consume 0 and l in xed proportions: c=al where c is the consumption good, 1 is the leisure hours, and a is a parameter with a > 0. She has It hours of time available which she can allocate between work and leisure. For each hour of work, she earns to units of consumption good. She also earns 7r as dividend (prot) income, and pays T units of lump-sum taxes to the government. Both 1r and T are measured in consumption units. Thus, the consumer's budget constraint is given: c=(hl)w+1rT. (a) Solve for c, and l that maximize the utility of the consumer. (b) Suppose now that the wage rate increases. Determine the impact of the increase in the wage rates, 10, on consumption, c, and leisure, l. Explain