Consider our simple Ricardian framework. If in country it takes 1/3 units of labor (measured in "hours") to make e unit of good X, then the marginal product of labor (for ΔΩ od X), (how much an extra unit of labor MP,
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- Give the three reasons that explain why the division of labor increases an economys level of production.If two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?▪You have fulfilled your dream by buying a McDonald’s franchise. You start hiring employees and come to realize that the first employees you hired were extremely productive, but every additional person you hired seemed to be less productive. ▪Why does that occur? Are the last people you hired just lazy? ▪The capital is fixed in the short run, but you can change your labor in the short run. ▪You decide to calculate the marginal product and the average product of your business.
- 1 03. If production is represented by y=AL 2, where L represents employment, what is the marginal productivity of labour when 9 units of labour are employed? a. A/4 b. A/6 OC. A/2 Od. A/31. Optimal Use of a Single Input. Julian Smyth manages production at Taffy Apple Inc., a company that produces a variety of taffy/fruit candies. Over the last several months, he has varied the number of employees on his caramel apple production line from 5 to 12, and found the following relationship. Labor S67∞a 5 8 9 10 11 12 TP 50 90 150 200 240 270 290 300 MP VMP a. In the column labeled MP, calculate the marginal product of labor. b. Suppose the apples sell for $6 per (dozen) box. Calculate the Value Marginal Product (VMP) c. If labor costs $200 per day, how many laborers should the firm hire? NumberUSE R LANGUAGE TO SOLVE THE equation The output of a production process, Q is given by the function2K^(-3)L^(5/2)/2K log4 6L^2where K and L denote capital and Inbour. Calculate the output when the capital and labour are 10 and 20 units, respectively.
- Imagine a firm that employs two types of workers – some with computer skills and others withno technology related skills. (i) Explain how a firm’s production function is related to its marginal product of labour, howa firm’s marginal product of labour is related to the value of its marginal product and how afirm’s value of marginal product is related to its demand for labour. (ii) Explain how the wage can adjust to balance the supply and demand for labour whilesimultaneously equalling the value of the marginal product of labour.Use the table below to answer the following questions. O a. $6.25. O b. $5. $4.25. Table 10.3.1 Labour TFC TVC TC Output (workers per (teapots per (dollars per (dollars per (dollars per day) 0 day) day) day) 0 Oc с. O d. $25. Oe. $4. 1234 141569 0 5 13 18 day) 20 20 20 20 20 20 - E 100 125 型 20 5 270 5 - 145 Refer to Table 10.3.1, which gives Tania's Teapots' total cost schedule. When output increases from 4 to 9 teapots, the marginal cost of one of the 5 teapots is 45 95QUESTION 43 Figure 18-1 On the graph, L represents the quantity of labor and Q represents the quantity of output per week. 420 390 345 285 210 120 1 (i) (ii) (iii) (iv) O a. (ii) and (iv) only O b. (i) and (iv) only O c. (i) and (iii) only O d. (i) only 2 QUESTION 44 3 4 Refer to Figure 18-1. Based on the shape of the curve, the total product is increasing. total product is decreasing. marginal product is increasing. marginal product is decreasing. 5 6 L
- 15. A firm can use three different production technologies, withcapital and labor requirements at each level of output as follows:TECHNOLOGY 1 TECHNOLOGY 2 TECHNOLOGY 3DailyOutputK L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a. Suppose the firm is operating in a high-wage country, wherecapital cost is $100 per unit per day and labor cost is $80 perworker per day. For each level of output, which technologyis cheapest?b. Now suppose the firm is operating in a low-wage country,where capital cost is $100 per unit per day but labor cost isonly $40 per unit per day. For each level of output, whichtechnology is cheapest?c. Suppose the firm moves from a high-wage to a low-wagecountry but its level of output remains constant at 200 unitsSuppose we have a produ ction function for wheat Q = KL - 0.8K2 - 0.212 A. Given K = 10 Units, calculate the level of labourth at the AP reaches max andh ow Much wheatis produced at that point B. Given K = 10 at what level of labour outputreaches maximum C. How mu ch Ilevel of labor should the company hire in order to be efficient |7. Fancy Footwear manufactures shoes. The figure below shows Fancy Footwear's marginal product of labor and average product of labor curves in the short run. Output (Quantity of footwear) monoos Icunns a'boral ai rud W d 1 1 2 3 4 5 6 7 8 13g moondaM (abanog) (s B a. Identify the Marginal Product and the Average Product? 23/10W A Labor (units) b. For what quantity of labor does production display diminishing returns? od oldat on BM to dinom od not