1. (Textbook problem 2, page 103) An economy has the production function Y=0.2(K+√N). In the current period, K = 100 and N = 100. a. Graph the relationship between output and capital, holding labor constant at its current value.
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- 28. Which of the following input resource(s) can be used to measure the productivity of a firm? a.Material input b.Capital and Land Input c.Labour input d.All of the abovehello, I need help with my homework 4.7 When to Use the Principle of Diminishing Returns? You are the manager of a firm that produces memory chips for mobile phones. In your decision about how much output to produce this week, would you use the principle of diminishing returns? Explain. In your decision about how much output to produce two years from now, would you use the principle of diminishing returns? Explain. My Textbook: macroeconomics by o’Sullivan 10th addition 978 013 519 6434 thank youQUESTION 1 Consider the following production functions, where q is the quantity produced of the good, Kis the quantity of capital used, and L is the quantity of labor used:Production function 1q (K, L) = K^αL^βProduction function 2q (K, L) = K^α + L^βa) What is production function? Explain by providing appropriate graph.b) Does Production function 1 have decreasing, constant, or increasing returns to scale?Explain.c) Suppose that α = 1 and β = 1. Does Production function 2 have decreasing, constant,or increasing returns to scale? Explain.d) Suppose that α = 1/2 and β = 1/2. Does Production function 1 have decreasing,constant, or increasing returns to scale? Explain
- 37. Which of the following is the interpretation of production function Y = F (K, L)? a.Output depend on K and L b.If K Increases, L also needs to increase c.If K increases, L needs to decrease d.If K and L Increases Y increases as wellQuestion 19 Consider the following graph of a production function when capital is constant. (The following is a description of the figure: it shows a two-axis graph; the horizontal axis measures labor and the vertical axis measures output; for a K fixed, the graph shows that maximal production that the firm can achieve with different levels of labor; the graph starts at cero production for zero labor; then it is increasing in all of its range; three levels of labor are shown as reference; there are L1, L2, and L3; they are related as follows L1<L2<L3; the graph is convex from 0 to L1, that is, its slope is increasing; the graph is concave from L1 on, that is, its slope is decreasing; the line that is tangent to the curve at L2, passes through the origin of the graph.) From the graph we know that for the corresponding K: MPL(L2,K)=MPL(L3,K) MPL(L1,K)>MPL(L2,K) MPL(L1,K)=MPL(L2,K) MPL(L1,K)<MPL(L2,K) MPL(L3,K)>MPL(L2,K)Y7 Using the following question: "Is the value of the final goods determined by the factors of production OR does the value of the final Goods determine the value of the factors of production?" How were the Marginalists different than previous economists?
- 3. What are the 2 variables that the Production Function is analyzing/graphing? Why does the production function diminish over time?Assume that a farmer rents a 20-acre farm in the White Creek Valley. During the current year, the farmer produces 100,000 bushels of wheat that he sells to a miller for $300,000 using various farming equipment. The farmer had to borrow from the bank to buy the farming equipment and pays $50,000 interest. Finally, the labor costs are $200,000 and the rent he pays to the owner of the land is $30,000. The miller produces and sells to “Bang Bakery” in Newark 1,000 lbs of flour worth $600,000. The flour is produced in a $100,000 mill in Hockessin; no rent is paid, the wage bill is $180,000 and interest payments are $70,000. Finally, “Bang Bakery” makes and sells bread to the Newark consumers for $1,000,000. The rent for their factory and their stores is $100,000 – their interest payments are $50,000 - their wage bill, $300,000. It was not a good year for “Bang Bakery.” Calculate the contribution to GDP of these transactions using three different methods: The value added approach Value…An economy has the following Cobb-Douglas production function: ?=100?^(1/3)?^(2/3) . The economy has 125 units of capital and 64 units of labor. d. Calculate the marginal product of capital MPK. e. Calculate the marginal product of labor (MPL).
- Question 24 Consider the following production function when K is fixed. (This is a description of the figure: it shows a two-axis graph; in the horizontal axis we measure labor and in the vertical axis we measure output, in this case articles as in the production function of a newspaper; the graph of the production function, for the given level of capital K fixed, is composed of two line segments; the first goes from the origin to the point (10,30); the second, starting from 10 on, is a horizontal line; it is also shown that the production for five units of labor is 15). Can we say that the production function satisfies the law of decreasing marginal returns of labor?True False1) a. What is a production function? How does a long-run production function differ from a short-run production function?b. Explain the term “marginal rate of technical substitution.” What does a MRTS = 4 mean?The production function Y = F(K,L) states that:The output increases when capital increases and labour decreasesThe output increases when an increase in the capital causes labour to decreasesThe output depends on capital and labourThe output increases when capital and labour decreases