In an island economy, George has 40 units of labor which he can
use to produce goods x and y. The
production functions are x = 4Lx, and y = 2Ly. George has a utility
function u(x,y) = min { x, y}. In a
closed economy, what is the highest utility George can
accomplish?
(a.) 13
(b.) 33.3
(c.) 53.3
(d.) 66.6
In an island economy, George has 40 units of labor which he can use to produce...
Consider an economy that uses two factors of production, capital (K) and labor (L), to produce two goods, good X and good Y. In the good X sector, the production function is X = 4KX0.5 + 6LX0.5, so that in this sector the marginal productivity of capital is MPKX = 2KX-0.5 and the marginal productivity of labor is MPLX = 3LX-0.5. In the good Y sector, the production function is Y = 2KY0.5 + 4LY0.5, so that in this sector...
Maria has a utilty function u(x,y) = min{ 2x, 0.5y} and a labor endowment of 120 units. The production functions are x = 4Lx and y = 12Ly. In this case, what is the optimal labor that should be allocated to producing good x? 51.4 54.5 56.5 62.3
Suppose that Mia has 10 units of labor and her two production functions are x = 6Lx and y = 10Ly. In another economy, Mr. Fantastic has 14 units of labor and production functions, x = 4Lx & y = 6Ly. In this case, the PPF for Mia is ____ and the PPF for Mr. Fantastic is ____. Group of answer choices 4x + 6y = 280; 3x + 2y = 168 4x + 6y = 280; 2x + 5y...
Leisure Island has 50 hours of labor a day that it can use to produce entertainment and good food. The table shows the maximum quantity of each good that Leisure Island can produce with different quantities of labor 3. If Leisure Island produces 8 shows and 5 meals a week, do the people of Leisure Island face a tradeoff? o A. Yes, it faces a tradeoff. O B. No, it doesn't face a tradeoff 4. Suppose that Leisure Island produces...
Lucky Luke has 100 units of labor, and faces production functions: x = 10Lx and y = 6Ly, where Lx and Ly are the labor allocations. Luke has the utility function u(x,y) = xy. In this case, what is the optimal basket of goods is ( x, y ) = Answer= (500, 300)
The "Home" country has 1200 units of labor at its disposal. It can produce two goods: apples and bananas. To produce 1 kg of apples, 3 units of labor are required, for 1 kg of bananas, 2 units of labor are required. a) Graphically represent the production options curve of Home. b) What is the opportunity cost for the Home of apples in terms of bananas? c) In the absence of trade, what will be the price of apples in...
Donald and Hillary each have 10 hours of labor (L) that can be used to produce candy (C) and soup (S). Donald’s utility function is given by: U D = C^0.3 x S^0.7 and Hillary’s is: U H = C^0.5 x S^0.5 . Neither have preferences over production. Production of each good is determined by: C = 2(Lc) and S= 3(Ls). Lc is hours of labor spent on candy on Ls is hours of labor spent on soup. Need answer...
3. Home has 1.200 units of labor available. It can produce two goods, apples and bananas. The unit labor requirement in apple production is 3. while in banana production it is 2. Foreign has 800 units of labor available. Foreign's unit labor requirement in apple production is 5. while in banana production it is 1. a Graph the production possibility frontier for Home and the production possibility frontier for Foreign Please put Apples on the y axis. Now suppose world...
Home has 1200 units of labor available. It can produce two goods, apples and bananas. The labor productivity in apple production is 1/3 apples per unit of labor, while in banana production it is 1/2 bananas per unit of labor. Graph Home’s production possibility frontier with apples on the horizontal axis and bananas on the vertical axis. What is the opportunity cost of apples in terms of bananas in Home? In the absence of trade, what would the price of...
3. Suppose an individual has perfect-complements preferences that can be represented by the utility function U(x,y)= min[3x,2y]. Furthermore, suppose that she faces a standard linear budget constraint, with income denoted by m and prices denoted by px and p,, respectively. a) Derive the demand functions for x and y. b) How does demand for the two goods depend on the prices, p, and p, ? Explain.