Questions and Problems 6. An individual can earn $12 per hour if he or she works. Draw the budget constraints that show the monthly consumption-leisure trade-off under the following three welfare programs. a. The government guarantees $600 per month in income and reduces the benefit by $1 for each $1 of labor income.
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- Explain the First Theorem of Welfare Economic and theSecond Theorem of Welfare Economic.Please relatethese two theorems.Jeremy has a monthly income of $60. He spends his money making telephone calls (good ?, measured in minutes) at a price of ?? and on other composite good ?, whose price has been normalized to one, meaning ?? = $1. His mobile phone company offers him two plans: plan A, in which he pays no monthly fee and makes calls for $0.50 per minute, or plan B, in which he pays a $20 monthly fee and benefits from cheaper phone calls at $0.20 per minute.(a) Depict Jeremy’s budget constraint under each of the two plans, with the number of phone calls (good ?) in the horizontal axis and the composite good (good ?) in the vertical axis. (b) If Jeremy mentioned that plan A is better for him, what is the set of consumption bundles he may purchase if his behavior is consistent with WARP?Consider your decision about how many hours towork.a. Draw your budget constraint assuming thatyou pay no taxes on your income. On the samediagram, draw another budget constraintassuming that you pay a 15 percent income tax.b. Show how the tax might lead you to work morehours, fewer hours, or the same number of hours.Explain.
- How do we define economic welfare ?The table below is an illustration of Pareto efficiency criterion after the implementation of a state income policy in some selected Ministries . Before policy. After policy Ministry A. 400 800 Ministry B. 200 200 Ministry C . 300 300 Total. 900 1300 With reference to the table, explain Pareto optimality.Labor-Leisure choice. Uses 80 hour maximum work week. Utility = R3C2 R = leisure C = dollar amount of income for consumption Budget Line 1: Wage = $16 per hour. No other income. Draw the Labor-Leisure diagram, including the budget line. Solve the point of optimization, and label it point A. Draw the indifference curve. Label it U1 Budget Line 2: Wage = $22 per hour. No other income. Draw the budget line for this new $22 wage. Solve the point of optimization, and label it point B. Draw the indifference curve. Label it U3 Use an auxiliary budget line to separate the income effect from the substitution effect. Identify the substitution effect as point S. Draw the indifference curve. Label it U2 The point of optimization for part C can be labeled, rather than numerically solved, as long as the drawn answers show expected results for two normal goods.
- Second Fundamental Theorem of Welfare Economics a. Describe the theorem, making sure that you define clearly the terms used in the description (e.g. if you use the term “efficient” you have to describe what this means). b. Explain why the theorem implies that there is no intrinsic trade-off between efficiency and interpersonal equity. c. Demonstrate your argument using an Edgeworth box, making sure that you describe all the elements of the box appropriately.An example of income earned but not received is O a. welfare payments. O b. consumption. Ocundistributed profits. O d. Social Security payments.Suppose there are two goods, co ee (C) and tea (T). The consump-tion set is R2+, so both goods can be consumed in arbitrary non-negativequantities.Abdul owns 2000 grams of co ee but does not own any tea. He hasno other wealth. The price of co ee is pC = 2 (in Dhs per gram) andthe price of tea is pT > 0 (in Dhs per gram). Abdul can sell co ee toearn income, which he can then use to buy tea or co ee. He can alsothrow co ee away (at no cost).Abdul's preferences can be represented by the utility functionu(c; t) = -(800 - c)2 - (800 - t)2;where c is the quantity of co ee (in grams) and t is the quantity of tea(in grams).(a) In separate diagrams, illustrate (i) the map of Abdul's indi erencecurves, (ii) Abdul's constraint set.(b) How much co ee and tea does Abdul decide to consume when (i)pT = 2, (ii) pT = 3, and (iii) pT = 4?(c) Illustrate Abdul's demand for co ee as a function of the price of tea (pT > 0) in an appropriate diagram.
- Monthly income = salary of 1200 and a gov welfare payment of 800 Y= 2000 Needs to use this income for food and goods quantity of food = qf quantity of goods= qd Price of food = 1 Price of goods = 2 1) Draw budget line, qf on vertical axis and qd on horizontal one 2) The welfare payment is now given in the form of food stamps. 1200 can be spent on food and other goods, food stamps can only be used to purchase food. The prices of food and other goods remain the same. budget line with the food stamps, measuring on the vertical axis and on the horizontal axis. Label all critical points on the budget line. Show you are at least as well off under the cash welfare payment as under the food stamps. Here is how: Depict the budget lines in 1. and 2a. in a single diagram and superimpose indifference curve(s) to show the optimal consumption bundle(s). You will need two such diagrams to illustrate two different cases: optimal consumption bundle is the same under the cash welfare…Q) lucus is having a cook out. He purchased 80 hamburgers and 56 assorment of chips. If each person will receive the same amount of food, and there will be no leftovers, then what is the greatest number of people that he can feed ? Explain it correctlyJohn Q. Public spends all of his income on gasoline and hot dogs. Draw his budget line under several conditions: a. His income is $100, and one gallon of gasoline and one hot dog each cost $2. b. His income is $150, and the two prices remain the same. c. His income is $100, hot dogs cost $2 each, and gasoline costs $2.50 per gallon.