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- Consider the production problem discussed in class in which 24 labor hours and 4 machinehours are to be allocated between food (x) production and wine (y) production. Suppose theproduction functions for x and y are as follows:Also, suppose the preferences of the agents are given by:Finally, suppose the MRT is given bywhere x and y denote, respectively, the aggregate quantities of food and wine produced.For each of the following allocations, determine whether they are (i) feasible and (ii) Paretoefficient. If they are inefficient, explain intuitively how it is possible to make someone betteroff without making the other person worse-off.a. ((14,2),(10,2),(5,10),(23,18))b. ((8,2),(16,2),(5,14),(11,18))c. ((14,2),(10,2),(14,21),(14,7))1. Consider allocations b-f (meaning points a, b, and f). Which allocations(s) A. are better for Ross than “a” (ignoring Rosa)? B. are better for Rosa than “a” (ignoring Ross)? C. are worse for both Ross and Rosa than “a”? D. are better for both Ross and Rosa than “a”? E. are Pareto superior to “a”?After Frank and Ruby engage in trade, each of thema. consumes at a point inside his or her productionpossibilities frontier.b. consumes at a point on his or her productionpossibilities frontier.c. consumes at a point outside his or her productionpossibilities frontier.d. consumes the same amounts of meat andpotatoes as the other.
- Specify and explain the typical shapes of marginal-benefifit and marginal-cost curves. How are these curves used to determine the optimal allocation of resources to a particular product? If current output is such that marginal cost exceeds marginal benefifit, should more or fewer resources be allocated to this product? Explain.indicate whether you think the statement is true or false andexplain why. 15. The discounted rate is usually positive.16. When constant marginal cost > 0, marginal net benefit (P-MC) increases at the rate ofinterest.17. Hotelling’s rule states that the dynamically efficient allocation occurs when the presentvalue of the marginal net benefit for the last unit produced is equal across time periods.18. Monopolist over-converse resources from a dynamic efficiency perspective.19. When the growth rate in demand exceeds the discount rate, the efficient outcome in acompetitive industry will result in a larger amount of oil available for the future period thanthe current period.20. Biofuels are a back-stop technology for oil and would cause more present production ofoilAssume a case where Angela works the land owned by Bruno. By referring to the diagram above, explain how does Angela rank the possible allocations marked as X, Y, Z and A? [Slope at Y is equal to Slope at A]
- Assume an economy producing only two goods (shoes and computers) with a fixed amount ofproductive resources and technology and employing all its productive resources to the maximum.Production in this economy is subjected to the law of diminishing marginal returns and resourcesare assumed to be fully optimized. In addition, the cost of sacrificing shoes for computers andvice versa is 1. On the basis of the foregoing assumptions, answer the following questions:i. Draw the economy’s production possibility frontier on hindsight of the relevantassumption.ii. Why are points outside the frontier unattainable? iii. Identify three ways by which the economy can attain the level of production outside thePPF. iv. What happens to the PPF when technological change overwhelmingly favours theproduction of computers? v. What happens to the PPF when the economy discovers an improved technology forproducing shoes? vi. Assume now that the sacrifice ratio is greater than 1, show what will happen to the…Match each diagram in Figure 1 with its description here.Assume that the economy is producing or attempting toproduce at point A and that most members of society likemeat and not fish. Some descriptions apply to more than one diagram, and some diagrams have more than onedescription.a. Inefficient production of meat and fishb. Productive efficiencyc. An inefficient mix of outputd. Technological advances in the productionof meat and fishe. The law of increasing opportunity costf. An impossible combination of meat and fishIf an economy can produce various combinationsof food and shelter along a productionpossibilities curve (PPC), then if we increase theproduction of shelter along the PPC, which ofthe following is true?a. We also increase the production of food.b. We must decrease the production of food.This forgone food production representsthe opportunity cost of the increase inshelter.c. We cannot change the production of food.d. The concept of opportunity cost does notapply along PPC.
- The allocation where D1, D2, D3, D4, and D8 consume and S1, S2, S3, S4, and S5 sell is not Pareto efficient because... (hint: you can prove that an allocation is not Pareto Efficient by showing that there's a better way to allocate the widget. Which of the following choices is better (more efficient) than the proposed allocation where D1, D2, D3, D4, and D8 consume and S1, S2, S3, S4, and S5 sell?) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Penelope utility function is U (a, b) = a+ 10b−b2, where a is the amount of applesconsumed and b is the amount of bananas consumed. He has $100 income. Theprice of apple is $0.5 per lb. Price of banana’s though increases with its purchase.Specifically, buying, b pounds of bananas will cost Pedro b2.a. What is Penelopes optimal consumption?b. Now, he suddenly acquires an extra $100 income. How this will changehis allocation?Supposeg1increases, but stillc1+b1+g1<1. Using a graph of the goods market, show how we would represent an increase in the value ofg1on equilibrium output y. Be sure to label all axes, curves, and equilibrium points. Suppose instead,c1+b1+g1= 0. Is the equilibrium in the goods market still possible? If so, what is the equilibrium output? You must explain your answer to receive full credit.