3. Nathaniel must divide PHP 500 between the consumption of product X and product Y. The relevant market prices are Px=50 and P=20. a. Write the equation for the consumer's budget line. Interpret the equation. b. Illustrate the consumer's opportunity set in a carefully labeled diagram, where X lies on the x-axis while Y lies on the y-axis. Interpret the consumer's opportunity set. c. Given the following indifference curves, the budget and the prices of goods X and Y, at what point is the optimal choice? Explain your answer. Good Y 40 35 30 25 20 15 10 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Good X

3. Nathaniel must divide PHP 500 between the consumption of product X and product Y. The relevant market prices are Px=50 and P=20. a. Write the equation for the consumer's budget line. Interpret the equation. b. Illustrate the consumer's opportunity set in a carefully labeled diagram, where X lies on the x-axis while Y lies on the y-axis. Interpret the consumer's opportunity set. c. Given the following indifference curves, the budget and the prices of goods X and Y, at what point is the optimal choice? Explain your answer. Good Y 40 35 30 25 20 15 10 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Good X

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter3: Preferences And Utility

Section: Chapter Questions

Problem 3.9P

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Pareto eliminated psychology from economics:a. by defining utility as ordinal, not cardinal utilityb. searching for secondary qualities of thingsc. defined rationality as consumer behavior only after they have bought something several timesd. by accepting revealed preference.
why convex: The budget set consists of all convex combinations of the points How to know these: can you show each the points can be derive (0, 0), (0, w/p2), (2,(w p1)/p2), and (1 + w/p1, 0). The upper-right boundary of this region consists of two line segments meeting at a kink, with the segment to the left of the kink being flatter than the one to the right. b) how to solve it?
please only do: if you can teach explain each why convex: The budget set consists of all convex combinations of the points How to know these: can you show each the points can be derive (0, 0), (0, w/p2), (2,(w p1)/p2), and (1 + w/p1, 0). The upper-right boundary of this region consists of two line segments meeting at a kink, with the segment to the left of the kink being flatter than the one to the right. b) how to solve it?
It is given that the price of goods X and Y are both Rs.10 each, a consumer consumes 10 units of X and 10 units of Y at equilibrium.a. Draw the budget line and indifference curve and show the point of consumer equilibrium. b. If the price of X falls to Rs.5, PY and money income remaining the same, what is the real income increase?c. At the new equilibrium caused by a fall in price of X, the consumer has a combination of 16 units of X and 12 units of Y. Show the price effect of a change in price of X using the PCC.d. Why are more units of Y consumed even though its price has not fallen?
4 Assume that a person's utility over two goods is given by U(g1; g2) = g1 + ln g2. The price of good g1 is equal to p1 and the price of good g2 is p2. The total income of the individual is given by I. The marginal rate of substitution between g1 and g2 is given by 1/(1/g2). Then, the expressions for this person's (1) budget constraint, (2) budget line's slope (assume that, graphically, g1 is on the horizontal axis and g2 on the vertical axis), and (3) the person's demand function for g2 (that is, g2 as a function of price ratio) are respectively:
a good is normal, then an increase in the price of the good will lead to which of the following to be true for this good? (Assume that there are only two goods, the individual's preferences lead to well-behaved preferences with strictly convex indifference curves and an interior solution for all budgets). Let SE = substitution effect, IE = income effect) (a) The magnitude of the IE for this good must be larger than the magnitude of the SE (b) The magnitude of the SE for this good must be larger than the magnitude of the IE (c) The good could be a Giffen good d) The good must be an ordinary good ( (e) None of the above
Suppose a consumer has a monthly income of m = 100 which she spendson two commodities: french fries (x1) and beef jerky (x2). The price offrench fries is p1 = 2 and the price of beef jerky is p2 = 5. (e) What is the slope of the budget line? Provide an economicinterpretation of this number.(f) Because of Mad Cow Disease, the price of beef jerky increasesto $10 (lower supply of beef). On a new graph, plot the originaland new budget constraint clearly identifying how the budgetconstraint has changed. What is the new relative price of beefjerky in terms of french fries?(g) Because of severe shortages, Congress passes the Jerky ReliefAct which limits each consumer to purchase at most 5 packs ofjerky. Show on a graph how this affects the consumer’s budgetset. Answer all three.
Suppose a family (with 1 child) earns $50,000 per year and there is no publicly provided education. Assume the price of other goods is $2,000 and the price for education/ year is $5,000. Draw the family's budget constraint. Show how free public education worth $20,000 per student changes the budget constraint. Draw a set of indifference curves to show that the family increases education consumption after b. Show how a school voucher redeemable for $20,000 worth of education changes the family's budget constraint. What happens to the amount of education the family purchases for the child?
please only do: if you can teach explain each partc: what does it mean? can you show graphs: For these to be optimal choices with such preferences, the indifference curve through a must lie entirely on or above the budget line associated with (p, w), and simi- larly for r' for the budget line associated with (p', w'). how do you know this:Because each of these bundles lies below the other budget line, this implies that the indifference curves must cross, which is impossible. can you show graphs: note that (3,1) is a conver combination of x and x', so for conver preferences must be weakly preferred to x (the less preferred bundle between a and a'). But then the bundle (3,5/3) must be strictly preferred z, contradicting that is optimal given the initial budget set
Suppose that, from an initial individual consumer equilibrium position in the indifference curve-budget line diagram, the prices of both goods rise by 10 percent. What happens to the position and slope of the budget line? Why does the consumer’s level of satisfaction from a given money income fall? Illustrate and explain. Would it be acceptable for an economist to say that the level of satisfaction of the consumer fell by exactly 10 percent? Why or why not?
A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility functionU (x, y) = 10x0.6y0.4a. How many units of each commodity should the consumer buy tomaximize utility?b. Is the budget constraint binding?
Assume that an individual has convex indifference curves (i.e. diminishing MRS). Suppose the individual has $3 to spend on good #1 and good #2. In addition, suppose we know that at the bundle where q1=1 and q2=1, the marginal utility of good #1 is 2 utils and the marginal utility of good #2 is 1 util. Given this information, which set of prices would this individual prefer to face? A. p1=1 and p2=2 B. p1=2 and p2=1 C. p1=2 and p2=2