a) A planner in a small, open economy has a utility function U = x1x₂ and production takes place according to the production functions Y₁ = 10L₁ - 0.5L² Y₂ = 10L₂ - L2 The world prices of the goods are p₁ = 10 and p₂ = 5. The total amount of labour available in the economy is 5 units. (1) Formulate the Lagrange equation. (ii) Write down the Karush-Khun-Tucker conditions. (iii) Determine a possible solution.
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- Assume an economy producing only two goods (shoes and computers) with a fixed amount of productive 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.Assume an economy produces only two goods ( shoes and computers ) with a fixed amount of productive resources and technology and employing all its productive resources to the maximum. Production in this economy is subjected to the laws of diminishing marginal returns and resources are assumed to be fully optimized. In addition, the cost of sacrificing shoes for computers and vice versa is 1. On the basis of the forgoing assumptions , drawthe economy's production possibility frontier on hindsight of the relevant assumption and why the points outside the frontier unattainable?.Assume an economy producing only two goods (shoes and computers) with a fixed amount of productive 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: Identify three ways by which the economy can attain the level of production outside the PPF.
- An endogenous variable is a variable explained by an economic model. An exogenous variable is a variable that is taken as given and is not explained by an economic model. True O FalseThe productive capability of an economy is such that to produce 5 units of military good it takes 2 workers to be employed while 10 units of consumer goods require 3 workers. Resources are limited in such a way that only 75 units of military good can be produced when all resources are employed. a) Construct the production possibility schedule and curve for this economy. b) Graphically represent what would happen if 12 additional workers were added to the economy. c) Graphically represent what would happen if the productivity of the workers were reduced to 2 units of military good and 5 units of consumer goods. d) Graphically represent what would happen if productivity for military goods remained the same but it now required 2 workers to produce 10 units of consumer goodsAssume 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…
- The graph below is Mendork's production possibility curve for the only two goods that it produces: quirks and quarks. Quantity of Quarks 800 700 600 500 400 300 200 100 2 4 6 8 10 12 14 16 18 20 Quantity of Quirks Note: If the image does not appear, right-click on the placeholder and choose Show picture or View image. If Mendork's current production is at point A, what is the (approximate) cost of producing one more quirk? a) 50 quarks B b) 100 quarks c) 200 quarks d) One more quark e) 25 quarksopenvellu mathxl.com/Student/PlayerHomework.aspx?homeworkld=611294898&questionld 1Gmail ITMG 1B Econ 2100 三 Homework: Basics ... Question 10, 1.1 Questio... く onomic If Arif can make 20 pizzas or 10 cakes in one day, the opportunity cost of O A. 1 pizza is half a cake. O B. 2 pizzas is 2 cakes. O C. 2 pizzas is 4 cakes. O D. 1 pizza is 2 cakes. O E. one half a pizza is 2 cakes. stSuppose your Chaffey college tuition per semester is $4,000 and your extra expenses with the college during the year (books, ather materiais, gas, meals, etc) sum $3,000. If you were not attending college, you could work at firm X and get an annual salary of $ 5,000. What is your opportunity cost of attending college in one year? In your calculations assume that you are taking 2 semesters in a year
- Suppose that the economy in the Jatinagor area has a Production Possible Limit with the equation X² + 4Y² = 64. Calculate what the value of X is if Y = 0 and what is the value of Y if X = 0 What is the opportunty cost of X if Y is constant in the economy or does it depend on the levels of output produced? Explain!合日ら ECON 2100 OL HW12 Compatibility Mode Home Insert Draw Design Layout References Mailings Review View Share O Comments A^ A° Аa v E vE - E E E Times New... 12 AaBbCcDdE AaBbCcDdE AaBbCcDc AaBbCcDdE AaBbCcDc AaBbCcDdEe AaBbCcDdEe > A E = = E Subtle Emph... Styles Pane Paste U v ab x, x No Spacing Title Subtitle Sensitivity Normal Heading 1 Heading 2 4. Consider the case of global environmental problems that spill across international borders as a prisoner's dilemma of the sort studied in the Monopolistic Competition and Oligopoly chapter. Say that there are two countries, A and B. Each country can choose whether to protect the environment, at a cost of 10, or not to protect it, at a cost of zero. If one country decides to protect the environment, there is a benefit of 16, but the benefit is divided equally between the two countries. If both countries decide to protect the environment, there is a benefit of 32, which is divided equally between the two countries. In the following table,…Assume an economy produces only two goods ( shoes and computers ) with a fixed amount of productive resources and technology and employing all its productive resources to the maximum. Production in this economy is subjected to the laws of diminishing marginal returns and resources are assumed to be fully optimized. In addition, the cost of sacrificing shoes for computers and vice versa is 1. On the basis of the forgoing assumptions , ( i )economy's production possibility frontier on hindsight of the relevant assumption ( ii ) why the points outside the frontier unattainable? ( III ) identify three ways by which the economy can attain the level of production outside the production possibility frontier. ( iv ) what happens to the production possibility frontier when the economy discovers an improved technology for shoes ( v ) what happens to the production possibility frontier when technological change overwhelmingly favors the production of computers. ( vi ) assume now the sacrifice…