C^1/2 R^1/2 + 2. Determine whether the following utility functions have strictly convex indifference curves (Use diagram and/or calculus). a. U= x11/2 + x21/2 b. U= min(x1/5‚ x2/2) c. U=( x1 + x2)3 3. Consider the following utility functions ((Use diagram and/or calculus ). a. U= x14 x24 b. U= x11/4 x21/4 c. U = 5x1+3x2 i. Find MRS for each function ii. Graph the indifference curve for U= 1 for each utility function . iii. Check for convexity/strict convexity‚ monotonocity/strict
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using the concept of utility. Two approaches to the concept of utility (Cardinalists and Ordinalists approach) describe how utility can be gauged. The analysis of how consumers make choices can be done using the budget constraint and indifference curves. An indifference curve shows various bundles of commodities that make the consumer equally happy‚ or give him the same level of satisfaction. Utility Defined Utility is a measure of the satisfaction that a consumer gets from consuming a commodity or a
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define the indifference curve as a graph showing different bundles of goods between which a consumer is indifferent. That is‚ at each point on the curve‚ the consumer has no preference for one bundle over another. One can equivalently refer to each point on the indifference curve as rendering the same level of utility (satisfaction) for the consumer. Utility is then a device to represent preferences rather than something from which preferences come. The main use of indifference curves is in the representation
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Chapter 2 1. A consumer prefers more to less of every good. Her income rises‚ and the price of one of the goods falls while other prices stay constant. These changes must have made her better of. TRUE 2. A decrease in income pivots the budget line around the bundle initially consumed. FALSE 3. If all prices are doubled and money income is left the same‚ the budget set does not change because relative prices don ’t change. FALSE 4. If all prices double and income triples‚ then the
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simplicity ’s sake - two goods‚ called X and Y‚ respectively. He could spend his entire income buying only X‚ thus purchasing a quantity of X equal to income divided by the price of X. Let ’s take a numerical example that you find here in the animated graph and that you can replicate with the software: when his income is 50 and the Y price is 10‚ the consumer can purchase 5 units of Y (higher red point on Y axis). Or he could spend his entire income buying only X - t h e o t h e r g o o d - thus purchasing
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successive unit is consumed by other decreasing pace.). The marginal utility is the slope of the total utility function get flatter and flatter. * Um is the slope of the U function C/ Representing Preferences with Indifference Curves Graphical Representation An indifference curve= shows
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CONSUMER CHOICE 5.0: Introduction In this unit‚ we shall concentrates on a consumer by looking at the behaviour of a consumer in exclusion from both other consumers and producers. Recall that a consumer is one who uses goods and services to satisfy her wants. She is assumed to be rational meaning that he aims at utility maximization; given her income and commodity prices. There are several theories that have been developed to try and explain the behaviour of a consumer. However‚ they can be
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EC 3101: Microeconomic Analysis II A/P Indranil A/P Indranil Chakraborty All relevant details on EC3101 are in the syllabus The morning office hours on Tuesday will start from the third week of lectures t tf th thi d k fl t Important Highlights Important Highlights • Text book: Intermediate Microeconomics: A modern h approach by Hal R. Varian (8th edition) One midterm and one final exam Please do not email material‚ lecture or exam related questions. Post your questions precisely on IVLE Forum or ask
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utility function is U(xA ‚ xB ) = xA xB . Suppose that the price of apples is 1‚ the price of bananas is 2‚ and Charlie’s income is 40. (a) On the graph below‚ use blue ink to draw Charlie’s budget line. (Use a ruler and try to make this line accurate.) Plot a few points on the indifference curve that gives Charlie a utility of 150 and sketch this curve with red ink. Now plot a few points on
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the cardinal approach 5.6 Consumer’s surplus 5.7 The ordinal utility approach to consumer behaviour: the indifference curve approach 5.8 Consumer’s budget constraint 5.9 Consumer’s equilibrium in the ordinal utility approach 5.10 Special cases 5.11 Price-consumption curve 5.12 Income-consumption curve 5.13 Price‚ substitution‚ and income effects 5.14 Derivation of the demand curve for a good 5.15 Inferior goods and Giffen goods 5.16 Let us sum up 5.17 Some key words 5.18 Some useful
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