2. Suppose there are two goods in the economy: Food (F) and Composite good (Y), with Pp = 1 and Py = 2. Consider a consumer who has utility function u(F,Y) = InF + In Y and income I = $100. (a) Find the consumer's consumption choice. (b) Suppose, to promote better nutrition, the government institutes a welfare program that gives every consumer with income less than $500 additional $100. Find the consumer's new consumption choice. How much of the government's payment went into purchasing Food? (c) Suppose rather than giving cash, the government gives a voucher that can only be used to purchase (up to) $100 worth of Food. How does this affect the consumer's consumption choice? (d) Which of the two programs is more effective in achieving the government's goal? Explain.

2. Suppose there are two goods in the economy: Food (F) and Composite good (Y), with Pp = 1 and Py = 2. Consider a consumer who has utility function u(F,Y) = InF + In Y and income I = $100. (a) Find the consumer's consumption choice. (b) Suppose, to promote better nutrition, the government institutes a welfare program that gives every consumer with income less than $500 additional $100. Find the consumer's new consumption choice. How much of the government's payment went into purchasing Food? (c) Suppose rather than giving cash, the government gives a voucher that can only be used to purchase (up to) $100 worth of Food. How does this affect the consumer's consumption choice? (d) Which of the two programs is more effective in achieving the government's goal? Explain.

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 budget set for two goods (X and Y) is 500 ≥ 4X + 5Y.a. The budget set is illustrated below. What are the values of A and B? The horizontal axis is labeled Good X. The vertical axis is labeled Good Y. A line begins at a point on the vertical axis goes down to the right and ends at a point on the horizontal axis. A = B = b. Does the budget set change if the prices of both goods double and the consumer’s income also doubles? multiple choice Yes, it rotates clockwise Yes, it shifts out from the origin Yes, it shifts in toward the origin No, it does not change c. Given the equation for the budget set, what are the prices of the two goods?Good X: $ Good Y: $ What is the consumer’s income? $
Answer please?
2. Given the utility function U(x; y)=x²y³, and Px=3 while Py-2, with budget m=100. Measure the MRS, show the budget line and calculate the equilibrium level of consumption for x and y. If the price of y doubles, what is the new level of consumption for both x and y?.
(A) Suppose an individual who derives utility u(x, y) from consuming a units of the good X and y units of the good Y. Prices of goods X and Y are respectively p = 1 and Py = p. Furthermore, the individual has a budget m. What is the demand for Y if the utility function is: u(x, y) = min{x, ay}. (a) y(p, m) = am (b) y(p, m) = = (c) y(p, m)= (d) y(p, m) = = am a+p m a+p m 1+p (B) Same setup as (A) with u(x, y) = ax + y and ap Pr. The quantity demanded of good X is q. Which of the following is true ? (a) The substitution effect increases q but the income effect decreases q and over- come the substitution effect. Overall q decreases. (b) The substitution effect decreases q but the income effect increases q come the substitution effect. Overall q increases. and over- (c) Both the income and substitution effects increase q. Overall q increases. (d) Both the income and substitution effects decrease q. Overall q decreases. (D) Suppose an inferior good X (not Giffen). Its price increases from…
9. Suppose now we want to minimize our expenditure while achieving a certain amount of utility. So say our budget is given as P₁x₁ + P2x2, which we want to minimize, while our utility x and x₂ = u, where u is the level of utility we would like to achieve. Solve for xi and x₂.
7. Suppose U = x₁x2 and the budget constraint is given as x₁ + 1 = B, solve for x and 1-α 8. Suppose U = xx and our budget is given as p₁x₁+P2x2 = m, where m is our income. Solve for solve for x and x₂. 9. Suppose now we want to minimize our expenditure while achieving a certain amount of utility. So say our budget is given as P₁x₁ + P2x2, which we want to minimize, while our utility x and x = u, where u is the level of utility we would like to achieve. Solve for x and x₂.
4. Tim wants to maximise his utility given his utility function of U (A, B) = A² B¹. He faces the following prices and income: PA = 25; PB = 20; M = 250. However, a change in the price of good A to PA 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? = (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less income
1. Calculate the elasticity of demand for the demand curve p = 100-2q at each of the following price and quantity levels and determine the type of elasticity: a p = 90 and q=2 b. p = 50 and q= 10 &p=5 and q = 19 2. Suppose you are given the following information: Q³= 200 + 3P Qd = 400 - P where Q is the quantity supplied, Qis the quantity demanded and P is price. From this information compute equilibrium price and quantity. Now suppose that a tax is placed on buyers so that Qd = 400 - (2P+T) where T is taxes. IfT= 20, solve for the new equilibrium price and quantity. (Note: You are solving for the equilibrium price for sellers and buyers). hp
Consider a consumer whose utility function is (screenshot) Assume the consumer has income $120 and initially faces the prices px=$1 and py=$1. How much x and y would they buy? Draw the budget constraint and the demands.
refer to question 1 but answer question 2
Suppose we are able to model the total utility function for the consumption of two goods, good x and good z. The utility function is structured as U(x, z) = 3x2 + z2 - 2xz. The consumer is faced with the prices of goods x and z. The price for each unit of good x and z is $1 each. The consumer has an income $1 (in thousands). How many units of each good should the consumer consume so as to maximize his/her utility?
(a) A good is a luxury if it has a budget elasticity larger than 1, (i.e., good k is a luxury if εk ≡∂qk/∂m *m/qk> 1). Show that when a good is a luxury, then if a consumer’s total budget rises, theywill raise the share of their budget they allocate to the good. (b) Suppose m is the total budget a consumer has available to spend on three electronic products,a laptop, a phone and a tablet. Can all three of these goods simultaneously be luxuries? Whyor why not?