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Managerial Economics & Business Strategy. Chapter 4 The Theory of Individual Behavior. Can we do it??. On the next slide are schedules which show the total utility measured in terms of utiles which President
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Managerial Economics & Business Strategy Chapter 4 The Theory of Individual Behavior
Can we do it?? • On the next slide are schedules which show the total utility measured in terms of utiles which President Strassburger would get by purchasing various amounts of product Apples, Bananas, Carrots, and Donuts. Assume that the price of Bananas is $4, the price of Donuts is $18, the price of Apples is $1, the price of Carrots is $6, and that President Strassburger’s income is $135. What quantities of Bananas, Donuts, Apples, and Carrots will President Strassburger purchase?
Consumer Preference Ordering Properties • Completeness • Every individual can state their preferences • NO “I don’t know” • More is Better • Diminishing Marginal Rate of Substitution • As you get more good X the rate at which you are willing to substitute good X for good Y decreases • Have too much X don’t want more • Shows indifference curves are CONVEX • Transitivity • If prefer A to B and B to C then prefer A to C • IC cannot cross
Indifference Curve Analysis Good Y Indifference Curve • A curve that defines the combinations of 2 or more goods that give a consumer the same level of satisfaction. Marginal Rate of Substitution • The rate at which a consumer is willing to substitute one good for another and maintain the same satisfaction level. • Slope III. II. I. Good X
100 50 33.33 25 1 2 3 4 Diminishing Marginal Rate of Substitution Good Y • Marginal Rate of Substitution • slope • To go from consumption bundle A to B the consumer must give up 50 units of Y to get one additional unit of X. • To go from consumption bundle B to C the consumer must give up 16.67 units of Y to get one additional unit of X. • To go from consumption bundle C to D the consumer must give up only 8.33 units of Y to get one additional unit of X. III. II. I. A B C D Good X
What was??? • The slope of the indifference curve? • Marginal rate of substitution • MRS • MRS = MUx/MUy Along an indifference curve
Return Return Safety Safety Likes risk!! FLAT Indifference Curve Will give up a lot of safety for a little Increase in return Doesn’t like risk!! STEEP indifference curve Need BIG increase in return to give up a little risk
Budget Line Y = M/PY – (PX/PY)X The Budget Constraint The Opportunity Set Y • Opportunity Set • The set of consumption bundles that are affordable. • PxX + PyY M. • Budget Line • The bundles of goods that exhaust a consumers income. • PxX + PyY = M. • Market Rate of Substitution • The slope of the budget line • -Px / Py M/PY M/PX X
M1/PY M2/PY M2/PX M1/PX New Budget Line for a price increase. New Budget Line for a price decrease. M0/PY M0/PX0 M0/PX1 Changes in the Budget Line Y • Changes in Income • Increases lead to a parallel, outward shift in the budget line (M1 > M0). • Decreases lead to a parallel, downward shift (M2 < M0). • Changes in Price • A decreases in the price of good X rotates the budget line counter-clockwise (PX0 > PX1). • An increases rotates the budget line clockwise M0/PY X M0/PX Y X M2/PX2
Consumer Equilibrium III. II. I. Consumer Equilibrium Y • The equilibrium consumption bundle is the affordable bundle that yields the highest level of satisfaction. • Consumer equilibrium occurs at a point where MRS = PX / PY. • Equivalently, the slope of the indifference curve equals the budget line. M/PY M/PX X