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Mary has two sources of income, let her non - labor income be represented by V dollars per year. He r labor income comes from working h hours per year in the labor market at wage rate of w per hour. Assume that her utility is a function of composite good, C (measured in dollars and priced at $1) and hours of leisure consumed, L (priced at w per hour). As sume her wage rate per hour is $10, her time endowment is up to 2000 hours per year and her non - labor income V is $3000. Below is her specific Utility Function. U = 100*Ln(C) + 125* Ln (L) A. Determine her specific budget constraint equation. Also graphic ally illustrate her budget constraint with C on the y - axis and hours of leisure consumed, L, on the x - axis. Clearly label everything including the intercepts, x - and y - axis and the slope of the budget line. B. Now solve for the optimal consumption bundle for Mary and identify the optimal values for C (C*) and L (L*). C. At the optimum, determine her level of utility. D. Now assume, the government decides that Mary qualifies for a cash grant welfare program where s he would be entitled to $3000 per year. What would this cash grant do to her non - labor income V? How would V and w change? Illustrate the impact of the cash grant on Mary’s choice of optimal bundle graphically. At her new optimum, what would happen to her hours of leisure consumed?
What is the total cost to Hildegard of finding a new plot of grass and getting y units of grass from it? Find an expression for her marginal costs and her average cost per patch of grass as a function of the
How many skateboards should be manufactured? Why?
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For the purpose of these exercises, let the firm's profits be given by P(x) = 20x - x^2, and let damages be given by D(x) = 2x^2. Under these situations find: Level of output x, Producer surplus and net damages. A regulator imposes a unit Pigovian ta..
suppose that the federal government announced a tax rebate of 500 for all individuals and 1000 for families. What would be the overall impact on AD of these policy changes or would the policy change effects completely cancel each other out?
Kermit is considering purchasing a new computer system. The purchase price is $123560. Kermit will borrow one-fourth of the purchase price from a bank at 10 percent per year compounded annually. The loan is to be repaid using equal annual payments ov..
Starting from a long run equilibrium, trace the effects for both a competitive firm and the market of a permanent reduction in market demand for: Consider two consumers, John and Maria, each with an quantity of two goods: corn and sug
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Consider a contractual setting in which two players have agreed to invest (play I) in a cooperative enterprise. However, since their agreement, but before they have made the investments, some costs and revenues have changed. Circle the Pareto efficie..
What are lags in monetary policy? What causes inside and outside lags in monetary policy?
Consider we wanted to know how many trips versus dinners out you could purchase. If you were told that X = number of trips and Y = the number of dinners out and you were given the following budget information; M=4000, Px=800, and Py=100, Show in your..
Illustrate happens to the amount of debt held by the public. Illustrate what happens to the level of gross debt.
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