4. -10 POINTS-The representative consumer has the preferences such that she wants to consume the consumption good, c, and the leisure, I, in fixed proportions: C = 0.51. She has h hours of time available which she can allocate between work and leisure. For each hour of work, she earns w units of consumption good. She also earns a units of consumptions goods as dividend (profit) income. She has to pay T units of goods to the government as a lump-sum tax. Solve for the c and / that maximize the utility of the consumer