Refer to the above diagram. In this instance: Question 5 options: the BC line is diagonal because the amount spent on both goods is less or equal to income. the consumer will find that every point along the I3 line is outside the budget constraint. the consumer will find the highest utility where x and y just touch the I2 line. the consumer will find the highest utility where x and y just touch the I2 line. The diagram is a graphical representation of a consumer's choice involving two goods, labeled as Good X and Good Y. The graph includes the following key elements:1. **Axes**: - The horizontal axis represents the quantity of Good Y. - The vertical axis represents the quantity of Good X.2. **Indifference Curves (I1, I2, I3)**: - Three curved lines labeled I1, I2, and I3 represent different indifference curves. - An indifference curve shows combinations of two goods between which a consumer is indifferent, meaning they derive the same level of satisfaction or utility. - I3 is above I2, and I2 is above I1, indicating higher levels of utility as you move to higher curves.3. **Budget Constraint (BC)**: - A straight line labeled BC depicts the budget constraint. - It represents all possible combinations of Good X and Good Y that the consumer can purchase given their budget and the prices of the goods. - The point where the budget line touches the highest achievable indifference curve represents the optimal choice for the consumer.4. **Point (X*, Y*)**: - The intersection of the budget line (BC) with the indifference curve I2 at point (X*, Y*) marks the optimal choice, where the consumer gets the maximum utility within their budget.The graph illustrates how a consumer allocates their income between two goods to achieve maximum satisfaction, given their budget constraints.

Indifference curve: - it is the graphical representation of different combinations of two goods that…

Answered: Refer to the above diagram. In this…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+S (b) U(F, R, S) = /2FR+S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = v2F + RS
Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+ S (b) U(F, R, S) = /2FR+ S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = /2F+ RS
Kai spends his income on lime (L) and ginger water (G). Lime is priced at $2, while ginger water costs $1. Suppose Kai has $30 to spend and his utility function can be represented as U(L,G) = L0.5 G0.5 What is the optimal number of lime and ginger water for Kai to purchase? b. How much utility does this combination bring him?
I need help with this homework question.
Check if the following utility functions represent the same preferences: u = x+y, v = x3 + y3, w = -1/(x+y). Give reasons for your answer.
Problem 1 Last week, neither Alistair nor Bodana purchased blueberries (x). Both consumers had $30 to spend on blueberries and/or raspberries (y), the price of the two fruits was $3 per pack and both consumers bought raspberries only. Alistair's utility for blueberries and raspberries is UA(x,y) = x+2y. Bodana's utility for blueberries and raspberries is UB(x,y) = x +12ln(y). a) In two separate graphs, illustrate Alistair's and Bodana's optimal choices. Your graphs must illustrate the consumers' budget constraints and their indifference curves at the optimal bundle. b) At their optimal bundle, what is Alistair's marginal rate of substitution of raspberries for blueberries (- MUx/MUy)? At their optimal bundle, what is Bodana's marginal rate of substitution? This week, blueberries cost $3 per pack just like last week, however raspberries now cost $4 per pack. c) How many packs of blueberries and raspberries will Alistair buy this week? Clearly justify your answer. d) Using the…
Q2. Suppose a consumer seeks to maximize the utility function U (x, y) = (x + 2) (y + 1), where and y represent the quantities of the two goods consumed. The prices of the two goods and the consumer's income are pa, py, and I. Write out the consumer's budget constraint and the Lagrangian function for the problem.
Problem 3 (10 points; 5 points for each part): Richard has a total utility function of: TU = 10q₁q₁²+24q2q2² +9192, where q₁ and q2 are goods. Richard is currently consuming at q₁ = 4 and q₂ = 6, which is also his utility maximizing consumption level. (Richard's optimal point is an interior solution). (a) How much additional utility would Richard receive if he were to increase his consumption of q2 from 6 to 7? (5 points). (b) How much q2 is Richard willing to pay (in terms of q2) in order to consume the 5th unit of q₁? (5 points).
A consumer has a budget of £12 to split between two goods: good 1 has a price of 2, good 2 has a price of 3. Write the consumer’s budget constraint algebraically. Convert this budget constraint into the formula for the budget line. Show this line on a suitably labelled graph. The consumer’s budget increases to £24. Show the effect of this change graphically. A consumer dislikes good 1, and dislikes good 2. Show these preferences on a suitably labelled graph with an indifference curve. Label the graph: which areas would be preferred to those on the line?
Question 3: Samantha has $3,000 to spend on two goods: sandwiches and beer. The price of a sandwich is $6 and price of a beer is $5. a) Draw Samantha's budget line. Put beer on the horizontal axis. b) If Samantha's optimal consumption bundle contains 400 sandwiches, how many beer does her optimal consumption bundle contain? Show her optimal consumption in the graph above. c) Draw Samantha's indifference curve crossing her optimal consumption bundle.
You like candy and cake. After using your entire $30 budget at the sugar store, you find that the marginal utility from the last candy you consumed was 60 and the last piece of cake was 30. Assuming you have maximized your utility and the price of a piece of candy is $4, calculate the price of cake? Do not enter dollar signs. Answer:
Consider a person who consumes two goods, x and y, and has a utility function given by U(x, y) = In(x)+y. This person has an income of $100 and faces a price of $0.50 for good x and $1 for good y. Price of x then rises to $0.60. Solve for the compensating variation (CV) and equivalent variation (EV) of this price change. Show your work.

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	the BC line is diagonal because the amount spent on both goods is less or equal to income.
	the consumer will find that every point along the I3 line is outside the budget constraint.
	the consumer will find the highest utility where x and y just touch the I2 line.
	the consumer will find the highest utility where x and y just touch the I2 line.