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.

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.

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter21: The Theory Of Consumer Choice

Section: Chapter Questions

Problem 11PA

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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.
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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:
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?
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True or false with reasoning 1)_______When an extra glass of wine is consumed, the total utility gained from the consumption changes by an amount of the marginal utility of all goods consumed. 2)_______Suppose that you consume two goods A and B, and that MUA/PA = 2 and MUB/PB = 4. With a given income and prices, the consumer will purchase more of good A and less of good B. 3)_______If you consume two goods, X and Y, and MUX > MUY, then you are willing to pay more for good X than for good Y.
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