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ANSWER ONLY SUBPART 4
Suppose the economy has 100 units of labor (L) and 100 units of capital (K), and it chooses to allocate three times more labor and capital in the production of good X than in good Y. Suppose also that the production of goods X and Y are represented by the following functions: X = LX0.25KX0.25; Y = 2LY0.25KY0.25.
- Compute for Lx, Ly, Kx and Ky
- Calculate the MRTSLK of each firm
- Is this
allocation efficient ? How so? - How many unit of X and Y will be produced?
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- Assume that there is an economy that is only producing two goods: trains and boats. The table below shows all the maximum combinations of the two goods that can be produced in this economy in a period. Combination Trains Boats A 80 0 B 70 50 C 50 80 D 0 100 Q1. Explain the effect that an improvement in the technology used in theproduction of trains and boats will have on the economy. (Note: No graphis required)Ehh and Mol can produce bread and butter. Suppose That Ehh can produce 40 breads per minute, while Mol can produce 30. Alternatively, Ehh can produce 10 butters per minute, while Mol can produce 5. Assume that Ehh and Mol specialize only one of the goods. Based only this information. For Ehh and Mol t consume the greatest amount of bread and butter, Ehh should specialize in producing ________because he has an ________advantage in /their production.How does a consumer’s optimal choice of goods change if all prices and the consumer’s income double? (Hint: focus on the budget constraint. You don’t have to, but you can use an example to support your answer).5. Output is produced according to a production process given by: Q = 4LK, where L is the quantity of labor input and K is the quantity of capital input. If the price of K is $10 and the price of L is $5, then what is the cost-minimizing combination of K and L capable of producing 32 units of output?
- Suppose the utility function of the two individuals in the economy is given by UA = 2XA0.5YA0.5 ; UB = XB0.5YB0.5 and X and Y are allocated equally between the two individuals. Compute for XA, YA ,XB ,YB Calculate the MRSXY of each individual Is the allocation efficient? How so?MICROECONOMICS Clara is leaving for the university restaurant with 3000 HUF in her pocket. Clara is only interested in two things; grilled chicken (x) and salad (y). One slice of grilled chicken costs 300 HUF and the price of 100 grams of salad is 500 HUF. What is the slope of Clara's budget line assuming that she spends her entire budget on these two items and she measures her consumption of grilled chicken on the horizontal axis and salad on the vertical one? (Please use two decimals in your answer.)Max chooses to purchase movie tickets and restaurant meals every week with his $100. The budget constraint for Max shows _____________ that is __________ and his _________ between movie and restaurant meal. Group of answer choices; a)expenditure; he prefers; trade-off b)consumption bundles; not affordable; trade-off c)consumption bundles; affordable; trade-off d)consumption bundles; affordable; best choice
- Pedro, a retired economics professor, grows lemons and oranges in his back- yard. He consumes some of these fruits, and sells some in a local farmer's market. Pedro's preferences are represented by the following utility function U(x, y) = min{x,y}. In one season he can harvest 20 pounds of lemons and 60 pounds of oranges. In the local market, price of lemons is $4 per pounds and price of oranges is $2 per pound. Pedro receives $300 income from his retirement plan per season. Question 1 Part a Find Pedro's optimal consumption bundle. Make sure to draw his budget con- straint and indifference curves to show his optimal choice. Question 1 Part b Suppose that the price of lemons rises to $5 per pound. What is Pedro's optimal consumption bundle now? Decompose the total change in demand due to a price change into a substitution effect, ordinary income effect and endowment income effect and graphically demonstrate it.Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. (a) Assuming that Yoghurt and Bread are compliments for Akua, construct the equation for Akua’s Budget Line for her to consume all her income of GHS 400. (b) What if Yoghurt is so SOUR that Akua needs 2 loaves of bread for every Yoghurt that she consumes?Consider Bundle A: (B, M) = (12 loaves, 16 gallons). If bread is the horizontal axis good, what is Rhea's marginal rate of substitution at bundle A?
- Efficiency requires that no more trades can be made between people, or equivalently, that their marginal rates of substitution (MRS) be equal for all goods they consume. Yet you and I never trade anything between each other, so how and when can we be sure we have equal MRS's?Dick, Jane, and their dog, Spot, share an apartment. Their utilities depend upon the cleanliness of the apartment and the hours spent doing housework. Dick and Jane are both averse to housework, though Dick finds it especially troublesome. Their utility functions are where c is an index of cleanliness and h represents hours of housework. The degree of cleanliness is determined by the “production function” a) Define the marginal rate of substitution MRSi as the increase in cleanliness that exactly compensates person i for one more hour of housework: and define the marginal rate of transformation as the number of hours of leisure that must must be given up to generate a one unit increase in cleanliness. Find the Samuelson condition for this economy. b) An allocation is a triplet (h D, hJ, c). What two conditions must a Pareto optimal allocation satisfy? Show that there are Pareto optimal allocations in which Dick, despite his aversion to housework, does more…Roxy has 6 pencil cases and 18 notebooks. In contrast, Bratt has 18 pencil cases and 8 notebooks. Roxy's marginal rate of substitution [MRS] for notebooks is 6 and Bratt's MRS is 4.Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. Show answer with an economic perspective.