The following table shows Calatonia's production possibilities. If Calatonia dedicates all of its resources to the production of pens, how many pencils will it be able to produce?
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- Please don't copy ans Economics You are the owner of a motorbike company that currently has two different factories, an old one and a new one. The old factory uses an old technology that requires large amounts of labor to produce motorbikes. The production technology for the old firm is given by Fo(L) = m*L^1/2 . The new factory uses a much more modern production technology given by Fn(L) = n*L^1/2 . a. What are costs as a function of output for each individual factory? b. Suppose that you want to produce 1000 motorbikes. How many motorbikes will you produce at the old factory and how many will you produce at the new factory? c. Derive an expression for the total cost of producing y motorbikes (assuming that you always divide production between the factories in the optimal way). How does this cost function compare to the individual factory cost functions? d. It turns out that you can upgrade your old factory to make it just as efficient as the new factory. To pay…Suppose that you are starting up a lawn-raking business. All of your workers are required to supply their own rakes, so the only cost to you is hiring labor at an hourly rate. Suppose that the market price of raking someone's yard is $50 per lawn and the hourly wage is $25 per hour. The follovwing graph shows the production function (PF) for your business. On the following graph, use the green line (triangle symbol) to plot the daily isoprofit curve that indicates the profit-maximizing level of output. (Hint: Derive the slope of the isoprofit curve and then move the curve up or down until it's in the position you want; this is because you do not know the amount of profit that will yield the desired curve.) Then use the black point (plus symbol) to indicate the profit-maximizing level of labor and output per day. 100 90 Isoproft 80 70 60 Profit Max 50 40 30 20 10 PF 10 20 30 40 50 60 70 80 90 100 LABOR (Hours per day) Complete the following table with your findings regarding the…Suppose that widgets can be produced using two different production techniques, A and B. The following table provides the total input requirements for each of five different total output levels. Q = 1 Tech. K L A 4 1 B 1 3 Total Cost Q = 2 K L 2 5 6 2 Q=1 $6 L K Q = 3 Assuming that the price of labor (PL) is $2 and the price of capital (PK) is $1, calculate the total cost of production for each of the five levels of output using the optimal (least-cost) technology at each level. K 9 4 Q = 4 L K L 4 12 7 11 8 8 5 12 7 15 To do this, complete the table below by calculating the total cost of production, filling in the missing values using the optimal (least-cost) technology at each level. (Enter your responses as whole numbers.) Q = 5 $27 Q=2 $ 10 Q = 5 K L Q = 3 $ 17 Q = 4 $ 26 How many labor hours (units of labor) would be employed at each level of output? How many machine hours (units of capital)? To answer this, complete the table below for the units of labor and units of capital that…
- Digging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.David and Morgan are farmers. Each one owns an 18-acre plot of land. The following table shows the amount of zucchini and watermelon each farmer can produce per yea on a given acre. Each farmer chooses whether to devote a acres to producing zucchini or watermelon or to produce zucchini on some of the land and watermelon on the rest. David Morgan 180 162 On the following graph, use the blue line (circle symbol) to p David's production possibilities frontier (PPF), and use the purple line (diamond symbol) to plot Morgan's PPF. 144 126 100 90 72 54 36 18 0 David Zucchini (Pounds per acre) 12 18 0 Morgan Watermelon (Pounds per acre) 6 90 180 270 360 450 540 630 720 810 900 ZUCCHINI (Pounds) -O David's PPF Morgan's PPF has an absolute advantage in the production of zucchin has an absolute advantage in the production of watermelon. ? is David's opportunity cost of producing 1 pound of waterme pounds of zucchini, whereas Morgan's opportunity cost of producing 1 pound of watermelon is pounds…X 15:01 EC5011 - Seminar 2.do... II. Problems and Exercises .ıl 4 1. Consider the following production function: . Does this production function exhibit constant returns to scale? (Hint: Replace K and L by 2K and 2L, respectively, and check if F(2K, 2L) = 2F(K, L).) 2. Consider the following production function: . a. Calculate the marginal product of labour. b. Calculate the marginal product of capital. c. Does this production function exhibit diminish MPL and MPK? d. Does this function exhibit constant returns to scale? 3. Suppose represents the production function of both Mexico and Spain. Use the following information to answer the next questions. L = Population K = Capital Y = Output Country (millions) (trillion) (trillion) Mexico 105 0.18 1.0 Spain 45 0.74 1.7 a. Calculate total factor productivity for both countries using the PF in question 2. b. Calculate per capita income for both countries. c. Explain the difference in per capita income. 4. A snack food factory in the Tuas…
- The table provides information about the production function for Lindsay's Farm, which uses labor and land to produce its produce. The price of labor is $50 per worker per week and the price of land is $20 per acre. Quantity of Land (acres) 10 10 10 Quantity of Labor (workers) 0 1 2 3 5 Quantity of Produce (bushels) 0 50 100 Table 55-4: Lindsay's Farm. 170 190 When Lindsay increases output from 50 units of produce to 100 units of produce, her marginal cost per unit is equal to:6Prunella raises peaches. Where L is the units of labor she uses and T is the units of land she uses, her output is f(L, T) = L3T1/3 bushels of peaches. On the graph below, plot the input combinations for L = 1,2,4, 8, and 16 that give a total output of two bushels. To refer to the graphing tutorial for this question type, please click here. Production Isoquant 16 15 14 13 12 11 10 6. This production function exhibits returns to scale. 11
- Suppose pigs (P) can be fed corn-based feed (C) or soybean-based feed (S) such that the production function is P=2C+5S. If the price of corn feed is $4 and corn feed is on the horizontal axis, and the price of soybean feed is $5 and soybean feed lies on the vertical axis, what is expansion path? the horizontal axis Oa. Ob. Oc. S=2C/5 C. d. C=5S/2 the vertical axisSuppose you are a producer and you need to identify what combination of labour and capital you should go with that you can make use of your resources to the optimal level; how will you identify your expansion path for production at minimum cost with the two factors of production explain your answer with the help of diagrams.