7. Mr. C lives for 2 periods, today and tomorrow. He consumes only bananas. He is endowed with 50 bananas today and 50 bananas tomorrow. There is no risk, and he can borrow and lend at the same interest rate, but has no investment opportunities. At the current interest rate he neither borrows or lends. (a) Write and draw his inter-temporal budget constraint and optimum. (b) Will a fall (rise) in the rate of interest make Mr. C better off?
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- An individual lives for 5 years - 4 years of work followed by 1 year of retirement. He earns $25,000 during each year of work but $0 during retirement. The interest rate is 5% Assume that the individual wants his consumption to be the same in each of the 5 years. a. What utility function would justify this choice of consumption pattern? b. Write out the intertemporal budget constraint in present value form.c. What level of consumption does he choose?d. What is the value of his assets at the beginning of retirement?6. What is present worth.?1. Complete the following table and answer the questions below: Units consumed Total utility Marginal utility 1 10 10 2 8. 25 4 30 5 6. 34 2. Columns 1 through 4 in the table below show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are P18, 6, 4, and 24, respectively, and that Ricardo has an income of 106. Column 1 Column 2 Column 3 Column 4 Column 5 Unit Unit Unit Unit No. of MU MU MU MU P saved MU of A of B of C of D || || || || | 1 72 1 24 1 15 1 36 1 2 54 2 15 12 2 30 2 3 45 3 12 8 3 24 3 36 4 18 2 27 5 7 5 13 5 1 18 6. 7 6. 1/2 7 15 7 7 3.5 7 4 7 1/4 8 12 8. 1 8 2 8. 1/8 a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many pesos will Ricardo choose to save?
- Q 1 5. Refer to the following intertemporal budget constraint of a respective consumer: a. How would this budget constraint change if individual becomes more presented oriented (he discounts future heavily)? b. How would this budget constraint change if individual faces a borrowing constraint in second period?Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…
- Sue has $200 to buy supplies for her computer. The two items that she needs are printer ink and computer paper. Paper costs $10 for 1000 sheets, and printer ink costs $5 and must be replenished after 2000 sheets of paper. The budget line is shown for Sue. What is the value of A?(Unit of Y is 1000 Sheets paper) рaper www A Ink Type your numeric answer and submitExplain how does adecrease in the current income y affect the consumer’s consumption-saving decision. In particular,explain: 1) How will current consumption c, future consumption c', and savings s change; 2) Arethere any substitution effect or income effect. Make sure you draw two figures, one for the borrowersand one for the lenders.Question 4 A consumer is maximising her utility function: U (x, y) = (205 + y05)², subject to the budget constraint 4x + 2y 108. (a) Set up the Lagrangian function of this utility maximisation problem and derive the first-order conditions. (b) What are the utility maximizing amounts of x and y? Also, calculate the Lagrange multiplier. (c) What are the utility maximising amounts of x and y if the budget constraint changes to x + 2y = 36? How would A change? Explain your reasoning. (Hint: You do not need to calculate A, rather comment on how it would change and why.)
- 1..Please write clear steps thanks15. Refer to Figure 3. Assume Tom's budget constraint is AC. He does not spend his entire income at point Select one: a. A b. D c. B d. ESaved to this PC V ut References A A Aa x² A a. b. C. O Search (Alt+Q) Mailings Review View Help Du A A EEE ΕΞ ΑΙ ¶ ↓ E- Paragraph LO Value of first donut Value of second donut Value of third donut Value of fourth donut Value of fifth donut Value of sixth donut S Normal Problem 1 Tammy loves donuts. The table shown reflects the value Tammy places on each donut she eats: $0.60 $0.50 $0.40 $0.30 $0.20 $0.10 If the price of donuts is $0.20, how-many donuts will Tammy buy? Why? Body Text How much consumer surplus would she have at a price of $0.20? Styles m If the price of donuts rose to $0.40, how many donuts would she purchase now? What would happen to Tammy's consumer surplus?