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2. Consider an economy with three consumcrs A, B and C, who derive satisfaction from their...
Consider an exchange economy with two consumers, A and B, who can consume only two goods....
Consider an exchange economy with two consumers, A and B, who can consume only two goods. Suppose consumers’ preferences are represented by a Cobb- Douglas utility function of the form u(x1i,x2i) = x1ix2i (here i is for consumer A or B) for a consumption bundle of two goods (x1i,x2i). The consumers have endowments eA = (e1A;e2A) = (4;1) and eB = (e1B;e2B) = (1;4). The price of good 1 is p1 and the price of good 2 is p2. You...
2. (20 POINTS) Consider an economy with one representative consumer and one representative firm. There is...
2. (20 POINTS) Consider an economy with one representative consumer and one representative firm. There is no government (no taxes). The consumer's utility function is U = log(C) - N where cis consumption and N$ is labor supply. The consumer's budget constraint is c = WNS + it in real terms. The representative firm has a standard Cobb-Douglas production function F(z,K,N) = zkN1-4. Suppose z=1 and K=1 so that the production function is simplified to F(N) = N1-4. Set up...
4. General Equilibrium An economy consists of two consumers, indexed by j = A, B, who...
4. General Equilibrium An economy consists of two consumers, indexed by j = A, B, who consume two goods x, and x2. The first consumer's endowment of the two goods is (W1,W4) = (2,4), and the second consumer's endowment is (w,w) = (5,1), where w/ denotes consumer j's endowment of good i. a. Suppose the preferences of the two consumers are described by the utility functions U,(x) = (x^)(x4)4 and U2(x) = xPx, where x denotes consumer j's consumption of...
Consider an economy with one good X and two people, indexed 1 and 2, who both...
Consider an economy with one good X and two people, indexed 1 and 2, who both have the same log utility function U^i(X_i) = ln(X_i). Suppose that the social planner has the ability to allocate any positive amount of the good to each person, subject to a total resource constraint of 30 units of X. Suppose that the social welfare function is: SWF = 1/3ln(X_1)+ 2/3ln(X_2) - What are the optimal quantities of X given to persons 1 and 2?...
Consider the case of a consumer who decides how many cups of coffee (denote by c)...
Consider the case of a consumer who decides how many cups of coffee (denote by c) and cups of tea (denote by t) to consume every month. Assume the income endowment for caffeine needs is $300; the price of a cup of tea is $2 and the price of a cup of coffee is $3. a) Write down a Cobb‐Douglas utility function with exponents α=0.5 and 1‐α=0.5. b) Write down the budget constraint for this problem. c) Set up the...
Consider the case of a consumer who decides how many cups of coffee (denote by c)...
Consider the case of a consumer who decides how many cups of coffee (denote by c) and cups of tea (denote by t) to consume every month. Assume the income endowment for caffeine needs is $300; the price of a cup of tea is $2 and the price of a cup of coffee is $3. a) Write down a Cobb-Douglas utility function with exponents a=0.5 and 1-a=0.5. b) Write down the budget constraint for this problem. c) Set up the...
Just 5-8 1 Analytics of the Solow Model In the Solow economy, people consume a good...
Just 5-8
1 Analytics of the Solow Model In the Solow economy, people consume a good that firms produce with technology Y (which we assume to be constant) and f is a Cobb-Douglas production function Af (K, L), where A is TFP f(K, L) KL-a Here K is the stock of capital, which depreciates at rate δ E (0, 1) per period, and L is the labor force, which grows exogenously at rate n > 0. Here employment is always...
Consider a hypothetical market for good X using the information below. Price Quantity demanded Quantity supplied...
Consider a hypothetical market for good X using the information below. Price Quantity demanded Quantity supplied 700 300 600 400 500 500 400 600 300 700 200 800 100 900 0 1000 Suppose that the production of good X generates pollution in the form of chemical runoff and that the pollution imposes a $4 cost on society for each gallon of good X produced. What is the optimal quantity of good X production? Does the market overproduce or underproduce? O...
Which two phrases represent the views of globalization? Choose two answers. A pendulum that swings from...
Which two phrases represent the views of globalization? Choose two answers. A pendulum that swings from one extreme to another A competition among key financial centers and markets A continuing force sweeping through the world An unplanned result of corporate responses to a variety of opportunities A trading of goods and services between the most and least regulated countries What are two trade barriers? Choose two answers. Nontariffs Foreign languages The ocean Tariffs Shipping What is the effect of tariff...
Which of the following would be considered INTANGIBLE capital? (a) a farmer’s tractor; (b) a tennis...
Which of the following would be considered INTANGIBLE capital? (a) a farmer’s tractor; (b) a tennis player’s racket; (c) a refrigerator in a restaurant; (d) WiFi at a Starbuck’s. More than likely, the economic value of production and the social value of production: (a) equal the size of the GDP; (b) are equal to one another; (c) depend upon IRS regulations; (d) can diverge from one another, perhaps because of environmental spillover effects from the creation of output. Which form...
2. (20 POINTS) Consider an economy with one representative consumer and one representative firm. There is no government (no taxes). The consumer's utility function is U = log(C) - N where cis consumption and N$ is labor supply. The consumer's budget constraint is c = WNS + it in real terms. The representative firm has a standard Cobb-Douglas production function F(z,K,N) = zkN1-4. Suppose z=1 and K=1 so that the production function is simplified to F(N) = N1-4. Set up...
4. General Equilibrium An economy consists of two consumers, indexed by j = A, B, who consume two goods x, and x2. The first consumer's endowment of the two goods is (W1,W4) = (2,4), and the second consumer's endowment is (w,w) = (5,1), where w/ denotes consumer j's endowment of good i. a. Suppose the preferences of the two consumers are described by the utility functions U,(x) = (x^)(x4)4 and U2(x) = xPx, where x denotes consumer j's consumption of...
Consider the case of a consumer who decides how many cups of coffee (denote by c) and cups of tea (denote by t) to consume every month. Assume the income endowment for caffeine needs is $300; the price of a cup of tea is $2 and the price of a cup of coffee is $3. a) Write down a Cobb-Douglas utility function with exponents a=0.5 and 1-a=0.5. b) Write down the budget constraint for this problem. c) Set up the...
Just 5-8
1 Analytics of the Solow Model In the Solow economy, people consume a good that firms produce with technology Y (which we assume to be constant) and f is a Cobb-Douglas production function Af (K, L), where A is TFP f(K, L) KL-a Here K is the stock of capital, which depreciates at rate δ E (0, 1) per period, and L is the labor force, which grows exogenously at rate n > 0. Here employment is always...
Consider a hypothetical market for good X using the information below. Price Quantity demanded Quantity supplied 700 300 600 400 500 500 400 600 300 700 200 800 100 900 0 1000 Suppose that the production of good X generates pollution in the form of chemical runoff and that the pollution imposes a $4 cost on society for each gallon of good X produced. What is the optimal quantity of good X production? Does the market overproduce or underproduce? O...
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