2. Think about a consumer with a utility function of U(x,y) =2xy+1, his budget constraint is px*x +py*y = m. а. Please derive the Marshallian demand functions. What would happen to the demand of each good if m increases(assume price positive)? Are they normal good or inferior good? Please derive the indirect utility function. b. С. Dloace dorivo th e oxnon uro function
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- On what portion of the demand function does total revenue rise as price rises? The price of tea cakes goes up by 1%. As a result, the quantity purchased of tea falls by 1.5%. If income rises and consumers buy more of a particular good, that good is? Assume the budget constraint and the indifference curves are both linear. Assume the consumer is willing to tradeoff 1 of good X for 1 of good Y. If the relative price of one additional good X is giving up 1/2 of good Y, then the optimal bundle of the two goods is? What condition describes the optimal bundle of goods X and Y where utility is maximized [M=income, MU=marginal utility, P=price]I need asnwers of f,g Assume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and his budget constraint is px*x +y = m, which implies py = 1. a.Please derive the Marshallian demand function of x. b.Please derive the indirect utility function. c. Please derive the expenditure function If originally m = 40, px=2. d. What is his original highest utility level? Now px has decreased to 1, m and py do not change. e. What is his new maximum utility level? f. Based on (c) (d) and (e), what is his compensating variation? g.Based on (c) (d) and (e), what is his equivalent variation?1. Think about a utility function U(x,y) =xy, the budget constraint is px*x +py*y= m. A. Please derive the expenditure function. If originally m = 8, px=1, py=4. Now px has increased to 2. B. Based on (A), after the price change, how much should be compensated to maintain his original utility level? C. Use the Shaphard's Lemma to derive the Hicksian demand functions.
- I need asnwers of a,c,g. Assume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and his budget constraint is px*x +y = m, which implies py = 1. a.Please derive the Marshallian demand function of x. b.Please derive the indirect utility function. c. Please derive the expenditure function If originally m = 40, px=2. d. What is his original highest utility level? Now px has decreased to 1, m and py do not change. e. What is his new maximum utility level? f. Based on (c) (d) and (e), what is his compensating variation? g.Based on (c) (d) and (e), what is his equivalent variation?2. Consider a consumer who purchases two goods, x and y. The consumer’s utility function is U(x, y) = xy. Assume initially that the consumer’s income is $160, the price of x is Px= $8, and the price of y is Py= $1.a) Find the utility-maximizing bundle of x and y-So the utility-maximizing bundle of good "x" and good "y" is equal to 10 units of good "x" and 80 units of good "y". b) Find the total utility at the utility-maximizing bundle. total utility is equal to 800.c) Now assume the price of x decreases to $4. Re-compute the values from part a) at the new price. So the utility-maximizing bundle of good "x" and good "y" is equal to 20 units of good "x" and 80 units of good "y". d) Determine the decomposition basket that identifies the substitution and income effects as the consumer moves from the optimal basket in part a) to the optimal basket in part c).e) Identify the substitution and income effects as the consumer moves from the initial consumption basket to the final consumption…The utility function of a consumer is u = √x + 2y. (a) Show mathematically that the rise of Px will decrease demand for x goods. (b) Demonstrate mathematically that an increase in Px will increase demand for goods y. (c) If currently the price of goods is four times more expensive than the price of goods x and the government wants to set a tax that results in the increase in Px′ = 1.1Px, what are the units of decrease in the number of x items requested?
- Which of the ff. is correct with regards to the demand curve? A. If the price of the good increases, the demand curve for the good will shift to the left B. If the price of the good increases, the consumers have the incentive to look for substitutes, thus, the quantity demanded and its price are inversely related C. Income of the consumers is written on the vertical axis D. Varying preferences of the consumers is reflected in the demand curve and is written on the horizontal axisSuppose 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.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?
- a. Determine the demand functions of x and y in the case of a Cobb-Douglas type utility function, in the following cases: α=0.40;β=0.60 Graph the demand functions of the two goods (price as a function of quantity) assuming the individual's income is $500 - Determine what is the quantity demanded of x and y, if the price of good x is USD 1, the price of good y is USD 4, and income is USD 500 - Now, explain what happens to the quantity demanded if the prices of the goods are doubles holding income constant.1.Let x and y denote the amount of goods X and Y. Find the demand functions of X (do not need to find that of Y) when your preferences are represented by the utility function U = x^2y. Is X normal good? Can you confirm law of demand for X? What is the relationship of X with Y? Answer all of them by using the demand curve you derived. 2.Let x and y denote the amount of goods X and Y. Find the demand functions of X (do not need to find that of Y) when your preferences are represented by the utility function U = x + xy + y. Is X normal good? Can you confirm law of demand for X? What is the relationship of X with Y? Answer all of them by using the demand curve you derived 3.There are two goods F and C. Let MU and P denote marginal utility and price of each good. SupposeMUF = 3, MUC = 4, PF = 2, PC = 2.Are you maximizing your satisfaction? If not, what would you do to increase your satisfaction? Explain.I need help with this homework question i am confused on Suppose a consumer’s utility function is given by U(X,Y) = MIN (5X, Y). Also, the consumer has $60 to spend, and the price of good X is P(x) = $5. Let good Y be a composite good (good Y is the “numeraire”) whose price is P(y) = $1. So, on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. Suppose PX increases to $7, Calculate the Compensating Variation. Calculate the Equivalent Variation.
