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- Answer the questions. Please draw graphs, instructions on word for how to draw the graph is not enough. Let X1 on the horizontal axis and X2 on the vertical axis. (a) Suppose two ordinary goods X1 and X2 are substitutes in consumption. Using BLs and ICs, graphically derive the demand curve for X1. Explain your graph.(b) If X2 is a Giffen good, how to derive the demand curve for X2?(c) Is the inferior good the same as the Giffen good? Why or why not?(a.) Consider a consumer who consumes two good- X and Y - where X is an inferior (but NOT Giffen good. Consider an initial equilibrium where with an income of 100 and individual consumes 10 units of X and 12 units of Y . Now, suppose the price of the good X increases, keeping everything else unchanged. Draw a clearly labelled diagram and indicate the range of the new equilibrium due to price change. [Note: only a clean graph is required and the information that are NOT given are NOT necessary.] (b.) A monopolist- who sells microprocessors in an entire Indian market- charges INR 1200 per unitand sells 1.213 million units in the country. The firm is a recent entry- so the economists are not sure about the demand curve for the Indian market, except that it is a linear curve. Can you comment anything about the elasticity at the equilibrium? Specifically, does the equilibrium lie in the elastic or the inelastic part of the demand curve? (c.) Consider a monopolist who serves a market given…3(b)Discuss, using indifference curve analysis, why a decrease in a sales tax on all goods and services might have a different impact on demand for a normal good than for an inferior good. include all relevant graphs too.
- Question3 a) Suppose a household is faced with the choice between consuming gasoline (G) and all other goods (OG). Today the household consumes 800 liter of gasoline a year.Suppose then that a gasoline price increase is perfectly compensated by a wage increase. If the family followed the utility maximization model, how would this affect their consumption of gasoline? Explain by using a figure. b) Explain by using an example why an MRS (Marginal Rate of Substitution) between two goods must equal the ratio of the price of the goods for the consumer to achieve maximum satisfaction?12. What are the mathematical steps in deriving demand and indirect utility?(b) If a consumer spends all of his budget consuming exactly two goods, then is it possible that the law of downward-sloping demand does not hold for one of the goods?
- ) Suppose that Sam has a utility function u(x, y)= xy2 where x is the amount of good 1 and y is the amount of good 2. The price of good 1 is $10 and price of good 2 is $20, and the income is $ 90. The price of good 1 is denoted by px and the income is donated by m. Derive the equations for demand curve for good 1Suppose consumer consume two goods. Can both goods be inferior? Can one of the goods be inferior? Explain your reasoning clearly. 19Course: Microeconomic - Consumer Theory Explain in detail and model theoretically (be clear about it) establishing the assumptions considered necessary.Considering an individual who will choose 2 goods (X1 and X2) perfect substitutes:(a) How the individual analyzes his preferences and economic constraints (include the respective slopes in the analysis).b) How the individual constructs his demand function. Derive graphically and analyze the individual's demand for a rise in the price of good X1.Attach in each case the respective graphs.
- 5. The elasticity of substitution will be a lower number: (a) The less curved is the indifference curve (b) The more curved is the indifference curve (c) The greater the income elasticity of demand of the good on the horizontal axis (d) The greater the degree of substitutability between the two goods (e) If tastes are both homothetic and quasilinear3. If all other factors remain the same, what happens to the demand curve for coffee if there is: (a) an increase in the price of tea, (b) a decrease in family income, (c) an increase in the price of coffee? In answering these questions draw and carefully label a set of axes. On the horizontal axis of your graph, show the quantity of coffee. On the vertical axis show the price per cup of coffee. Since you do not have specific data on prices and quantities demanded, just indicate prices with a P and Quantity with a Q. Focus on the general shape and position of the curves before and after events occur. Draw new curves to show what happens in each of the circumstances given, if necessary. 3. If all other factors are unchanged, what happens to the supply curve for coffee if there is: (a) an increase in wages paid to coffee store clerks, (b) an increase in the price of coffee, or (c) an increase in the number of coffee stores? In answering these questions draw graphs, as necessary, using…(2 points) The graph below describes the effects of an increase in the average consumer income in the market for a normal good. D is the demand before the increase in income and D2 is the demand after the increase. Please use the labeled areas in the graph to answer the following questions. Question 5 Not yet answered Marked out of F 2.00 P Flag question P2 D P1 D2 D1 Q1 Q2 (0.5 points) What is the consumer and producer surplus before the increase in consumer income? a. b. (0.5 points) What is the change in consumer surplus and the change in producer surplus after the change in income? (0.5 points) Has total welfare increased or decreased? What is the change in total welfare? C.