3. Let Robinson Crusoe's Production Possibility curve be given by the equation: f²/2 + g = 150 where f is the amount of fish and g is the amount of grain he can obtain. (think of g as plotted on the vertical axis and f as plotted on the horizontal axis). Robinson's marginal rate of substitution in consumption is MRSc = 9/f. (a) Find Robinson's production-consumption optimum R*. (b) If Robinson is discovered by a world market in which P = 5. and P. = 1.
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- Juan is currently working in a job that pays $25 an hour and he chooses to work 8 hours per day. Assume that Juan can work a maximum of 16 hours a day, and he has complete flexibility in how many hours a day he works. Illustrate Juan’s budget constraint and his optimal choice of consumption and leisure. What is the slope of his budget constraint? What does this slope represent? (As on any graph you draw, make sure that you label the axes, the intercepts and the optimal choice.) Juan begins receiving a government transfer payment of $100 per day. Add his new budget constraint to your graph in (a) and show his new optimal choice. Does he choose more or less consumption? More or less leisure? Explain why for both goods. The government imposes a tax of 25% on Juan’s earnings from work and increases his government transfer to $150 per day (the government transfer payment is not taxed.) Redraw the budget constraint from part (b) (omit the part (a) budget constraint), and add a new budget…The expression, M = PXX+ PYY is called a budget constraint where M = amount of money available for expenditure; PX= price of commodity X; PY= price of commodity Y; PXX= expenditure on commodity X; PYY= expenditure on commodity Y. Use M = PXX+PYY to express Y as a function of X and note that the graph of this function is called a budget line. Algebraically derive: (1) the y-intercept; (2) the x-intercept. State what determines the slope of the budget line. Graph the function for M = 120; PX= 3; PY= 5 andshow what happens to the original budget line if M decreases by 25% with PX, PY constant.Pls help me with this homework : Given the following leisure-income bundles, use the chord method to calculate the marginal rate of substitution (MRS) and make sure to use a graph in answering this question, given that the marginal utility of income (MUY) and marginal utility of leisure (MUL) are 4 and 40 respectively : Bundle A: 4 hours of leisure, income equals N$200, utility equals 200 utils; Bundle B: 4 hours of leisure, income equals RI00, utility equals 100 utils; Bundle C: 7 hours of leisure, income equals N$100, utility equals 200 utils. Thank You !!
- Consider Justin who makes $1,400 per week and just won a ‘set for life’ lottery ticket whichinvolves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Nowdo the following: • Illustrate the effect of the lottery win on Justins budget constraint using a fully labelleddiagram where i) the horizontal axis represents the hours of free time per week, and ii) thevertical axis represents Justins weekly consumption. • Illustrate on the same diagram Justins optimal decisions before and after the lottery winalong with his indifference curves. • Based on your diagram, discuss whether Justin will quit his job.Inayah is a rational consumer who consumes milk and cookies only from her monthly income of Rs. 1,500. If the price of milk is Rs. 500 per liter and the price of one pack of cookie is Rs. 300, answer the following questions: Identify the impact of an increase in the income from Rs. 1,500 to Rs. 1,800 on Inayah’s consumption level. Also illustrate it using the two-dimensional labeled diagram. Assume that Inayah’s consumption of milk and cookies give her following level of utility: Quantity MU milk MU cookies 1 400 450 2 350 200 3 200 150 4 100 100 5 70 60 6 30 30 7 0 0 Find the optimal level of consumption. Find the consumer equilibrium using the two-dimensional labeled diagram.3. Draw and describe analytically the set of feasible consumption choices. What is the marginal rate of substitution at the optimal choice?
- What does the marginal rate of substitution (MRS) measure? What is your MRS of $1 bills for $5 bills? Is this MRS diminishing as your consumption of $5 bills rises? Please include a graph with your explanation.Scenario 16.1: Irrespective of the amount of cheese doodles and pretzels that Sam consumes, his marginal rate of substitution of cheese doodles for pretzels is 2. Also, irrespective of the amount of cheese doodles and pretzels that Sally consumes, her marginal rate of substitution of cheese doodles for pretzels is 3. Refer to Scenario 16.1. Suppose instead that Sam is initially allocated 3 cheese doodles and 3 pretzels, whereas Sally is initially allocated 6 cheese doodles and 10 pretzels. Which of the following statements is TRUE? A. The allocation is not Pareto optimal as Sally would be willing to exchange two pretzels for one cheese doodle and be better off, without making Sam worse off. B. This allocation is Pareto optimal. C. The allocation is not Pareto optimal as Sam would be willing to exchange one pretzel for two cheese doodles and be better off, without making Sally worse off. D. This allocation is not Pareto optimal as Sally and Sam have unequal amounts of each good.12. Kinked budget constraints Suppose that your family has just decided to adopt a parakeet named Daisy. You have a monthly budget of $50 that you can choose to spend on either bird seed or other consumption goods. Assume the price of a bag of bird seed is $5 for the first 4 bags, but then it drops to only $3 per bag for each additional bag. All other consumption goods will be treated as a composite good, so you can think of this as simply the cash left over to spend on other items after buying bird seed. On the following graph, use the blue points (circle symbol) to graph your family's budget constraint. Remember to plot from left to right. Line segments will automatically connect the points. OTHER CONSUMPTION (Amount per month) 50 45 40 35 30 25 20 15 10 5 0 0 2 4 6 8 10 12 14 16 BIRD SEED BAGS (Bags per month) 18 20 Budget Constraint
- At Annie's current level of consumption, let MUp denote Annie's marginal utility from an additional pound of pasta, and let MUb denote Annie's marginal utility from an additional loaf of bread. Thus, MUp/MUb represents the number of loaves of bread Annie has to give up in order to buy another pound of pasta. the number of loaves of bread Annie is willing to give up to have another pound of pasta. the number of pounds of pasta Annie has to give up in order to buy another loaf of bread. the number of pounds of pasta Annie is willing to give up to have another loaf of bread.For this question, assume that indifference curves are strictly convex, consumption andleisure are normal goods, and the optimal amounts of consumption, leisure, and labor arealways positive. A wage increase ______. (SE = substitution effect; IE = income effect)(a) increases labor supply via the SE and decreases labor supply via the IE(b) decreases labor supply via the SE and decreases labor supply via the IE(c) increases labor supply via the SE and increases labor supply via the IE(d) decreases labor supply via the SE and increases labor supply via the IE(e) Can’t tell without knowing the utility functionCarol needs to decide how to spend her wealth on sh and chicken.For Carol, 1 lb of sh is equivalent to 2 lb of chicken. Her preferences2Intermediate Microeconomics NYUAD, Spring 2023can be represented by the utility functionu(x; y) = 2x + ywhere x is the quantity of sh (in lbs) and y is the quantity of chicken(in lbs). The consumption set is R2+.(a) Draw two typical indi erence curves for Carol, one correspondingto a utility level of u1 and one corresponding to a utility level u2,where 0 < u1 < u2. Make sure you label the slope of the indif-ference curves and the intercepts with the horizontal and verticalaxes.(b) Suppose the price of sh is $1:5 per lb and and the price of chickenis $1 per lb. Carol has $20 to spend on sh and chicken.(i) Draw Carol's budget set, labeling the slope and the interceptpoints clearly.(ii) How much sh and chicken will Carol choose to purchase?