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Download Executive MPA Foundation Week II Economics I-IV
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Chapter 3: Theory of Consumer Behavior 1 Indifference Curves and Budget Constraints • Individuals seek to maximize utility by allocating income across a range of purchases subject to the constraints of their budgets • Indifference curves represent all the different allocations of purchases where an individual is equally satisfied – Shape of the indifference curves describe whether goods are goods or bads – We usually assume diminishing marginal utility implies convex indifference curves • Perfect substitutes and perfect complements are special cases – Intersecting indifference curves represent inconsistent behavior • Budget constraints determine the allocations of purchases available to consumer and the budget line describes the maximum that can be purchased if consumer expends all his/her income 2 Indifference Curves Good Y Slope of indifference curves indicates MRS Convex shape indicates diminishing MRS U3 U2 Utility increases moving up indifference curves in the northeast direction (U1<U2<U3) U1 Good X 3 The Marginal Rate of Substitution (MRS) • The MRS at any point on the IC represents the amount of one good (on the vertical axis) that a consumer is willing to trade for another (the good on the horizontal axis) to make her/him indifferent (same utility function) between two allocations – The absolute value of the the slope of the IC at a given point • The MRS is (usually) different at different points on the IC because of the law of diminishing marginal utility (marginal utility declines as consumption of a good increases) 4 Budget Constraints Good Y Intercepts where all income is Spent on one good or the other I Py Budget line shows all consumption baskets that are possible with the given income I Px Good X 5 Utility Maximization With Constraint Oranges O* U3 U2 A* U1 Apples 6 Perfect Substitutes Darigold Butter Note: Indifference curves have a slope of -1 (i.e. a oneto-one trade off) U3 U2 U1 Land O’ Lakes Butter 7 Perfect Complements Right Shoes U3 U2 U1 Left Shoes 8 Effect of a Income Change: Normal Goods All other goods apples 9 Effect of a Income Change: Inferior Goods All other goods Spam 10 How Much of Each Good Should a Consumer Purchase to Maximize Utility Apples Oranges Total Utility Marginal Utility Marginal Utility/dollar Total Utility Marginal Utility Marginal Utility /dollar 1 20 20 10 15 15 10 2 35 15 7.5 27 12 8 3 47 12 6 36 9 6 4 55 8 4 39 3 2 5 61 6 3 41 2 1.33 6 65 4 2 42 1 0.67 7 67 2 1 42 0 0 Apples= $2.00/lb Oranges=$1.50/lb 11 The Effect of Changes in Price on Demand Apples Oranges Total Utility Marginal Utility Marginal Utility/dollar Total Utility Marginal Utility Marginal Utility /dollar 1 20 20 8 15 15 10 2 35 15 6 27 12 8 3 47 12 4.8 36 9 6 4 55 8 3.2 39 3 2 5 61 6 2.4 41 2 1.33 6 65 4 1.6 42 1 0.67 7 67 2 .8 42 0 0 Apples= $2.50/lb Oranges=$1.50/lb 12 Sample Problem P Qd Qs 40 5 15 20 15 5 Assume both demand and supply have constant slopes Questions: 1 What are the demand and supply equations? 2 What are the equilibrium quantity and price levels? 3 What are the new equilibriums if the product is found to be good for your health such that demand at every price increases by 10? 13