This question will let you examine/explore a more interesting utility func-tion than the simple example discussed in class as there will be both cross-price elas-ticity and an inferior good. Suppose you are told a consumer has the following utilityfunction:U (9x9₂) = 9x + √√9₂ +9₂You should assume income is Y, the price of good z is Pr, and the price of good z isP₂. This question will ask about several concepts discussed in lecture.(a)What is the Marshallian demand for goods x and z? I.e. find (9)for both interior solutions and corner solutions. Note: the outcome is "ugly"for the interior section and both corner should include constraints, i.e. limitsusing Y relative to f(P2, P₂). Hint: if solving using MRS = MRT, can use thisinformation again in part (d).

The objective of this question is to find the Marshallian demand for goods x and y given the utility…

Answered: This question will let you…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A consumer’s preferences over two goods x and y are given bythe utility function U(x, y) = xαyβ with α, β > 0. The prices of the goods are px = 2 and py = 4.The consumer has an income of I > 0.(a) For what values of α and β are these utility functions strictly monotone?(b) For what values of α and β will the consumer demand (i.e., Walrasian demand) be more x than y?(c) For what values of α and β are these goods gross substitutes? For what values of α and β are these goods gross complements? Provide a justification for your answer.
just do part c and explain it
Suppose that a consumer has the utility function U(X,Y)= 2X 1/2 y 1/2 for X>0 and Y> 0. Which of the following utility functions would not represent the same preferences? U(X,Y)= 2(X + Y) 1/2 U(X,Y)=2x1/2y 1/2 - 100 O U(X,Y)= In 2 + InX+ In Y O U(X,Y)= X 1/2 y 1/2 O U(X, Y) = 4XY
Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and Y
Could you just do part c and explain.
If milk and Cheerios are such known to be complements the consumer consumes either one of this goods or the other Is it true or false?
Ivar participates in a lot of Viking raids and needs to buy swords every month. He is offered a sword subscription. For a monthly fee he can buy as many swords as he wants at a per-sword price of $127. Swords can only be purchased in integer amounts. His Marginal Benefits (MB) from swords in a month is given in the table below. What is the maximum Ivar is willing to pay for this sword subscription. Quantity Marginal Benefit 1 $189 $146 $80 $76 $66 45
12) A consumer’s preferences are given by U(X,Y) = X0.6Y0.4. The price of X is 4, and the price of Y is 5. The consumer has an income of $2000.a) What is the utility maximizing choice of X and Y?b) How would the utility maximizing choice change if price of X falls to 3 because of a pricesubsidy?c) Given the answers to the previous parts plot a linear demand function for X.d) Show that the consumer would prefer the cash equivalent of the price subsidy in part b.
Gino derives utility from only two goods, carrots (Qc) and donuts (Qd). His utility function is as follows:U(Qc,Qd) = (Qc)(Qd)The marginal utility that Donald receives from carrots (MUc) and donuts (MUd) are given as follows:MUc = Qd MUd = QcGino has an income (I) of £120 and the price of carrots (Pc) and donuts (Pd) are both £1. - suppose a lump sum tax of the same dollar amount, of a 1 pound tax per unit on donuts, is levied on Gino. what is Gino's utility maximising market basket? - why would Gino prefer a per unit tax over the lump sum tax, or vice versa, or why is he indifferent between the two taxes.
can you please explain question d for me and solve it
The table shows the total utility data for products S and T. Assume that the prices of S and T are $3 and $5, respectively, and that consumer income is $22. Total Utility 12 27 39 48 51 Units of S 1 2 3 4 5 Multiple Choice If the price of T decreases from $5 to $3, while the price of S and the consumer's income stay the same, then the utility-maximizing combination is such that the quantity of T increases from 2 to 4. Units of T 1 2 3 4 5 Total Utility 20 35 45 50 52 decreases from 4 to 3. stays the same at 2, but the consumer has $1 remaining. increases from 2 to 3, but the consumer has $1 remaining.
Gino derives utility from only two goods, carrots (Qc) and donuts (Qd). His utility function is as follows:U(Qc,Qd) = (Qc)(Qd)The marginal utility that Donald receives from carrots (MUc) and donuts (MUd) are given as follows:MUc = Qd MUd = QcGino has an income (I) of £120 and the price of carrots (Pc) and donuts (Pd) are both £1. - what is Gino's budget line and what quantities of Qc and Qd will maximise Gino's utitlity? - holding income and Pd constant, what is Gino's demand curve for carrots? - suppose a tax of 1 pound per unit is levied on donuts. how will this alter Gino's utility maximisinzing market basket of goods?

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