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Churchill's Book Binding
|
Labor (workers) |
Output (Books) |
|
0 |
0 |
|
1 |
200 |
|
2 |
280 |
|
3 |
340 |
|
4 |
380 |
|
5 |
400 |
Churchill’s book binding is a firm operating in a
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- Table 14.13 shows information from the supply curve for labor for a monopsonist, that is, the wage rate required at each level of employment. What is the monopsonists marginal cost of labor at each level of employment? If each unit of labors marginal revenue product is 13, what is the firms profit maximizing level of employment and wage?Other than the demand for labor, what would be another example of a 'derived demand?Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?
- Consider the market for labor where both firms and workers are price takers. Output is produced using capital and labor.The marginal product of labor can be described by: 200 – 4L, where L is the number of workers hired. The price of the good produced is 5 per unit. a. Illustrate the demand for labor. Be sure to note the specific value of the vertical intercept. b. Suppose that the competitive firm must pay 100 for each worker. Determine the number of workers hired. (Determine the total income to capital. Show your work for both parts. c. Suppose that the price of the good rises but that the wage remains the same. Illustrate how the optimal choice of labor would change. No need to do the explicit calculation; just show the outcome and briefly explain.Consider a manufacturing firm in a labor market that isperfectly competitive. There are two kinds of workers: productiveworkers whose marginal revenue product is $48,000 per year, andlazy workers whose marginal revenue product is $40,000 per year. Itis difficult for the firm to differentiate between productive andlazy workers. A local college offers a new yearlong astronomy course. Althoughthe cost of tuition is the same for both types of workers, thepsychic cost of having to work hard and get a passing grade islower for productive workers because they are able to learn morequickly than lazy workers. Therefore, the cost of taking the class(including the cost of tuition as well as the psychic cost) is$5,000 per year for a productive worker and $10,000 per year for alazy worker. Because astronomy has little relevance tomanufacturing, taking the class does not increase or decrease aworker's productivity. The firm uses the class as a way to differentiate betweenproductive and lazy…Consider a firm that is perfectly competitive in the market for inputs and outputs. Thefirm hires two types of workers: low-skill (high school graduates and high school dropouts) andhigh-skill (undergraduate and postgraduate degree) workers. The firm compensates high-skilledworkers at the rate wH and low-skill workers at the rate wL. It produces the output subject to aCobb-Douglas production technologyF(L,H) = (AH)α(L)β,where H - is the amount of high-skill hours, L - the amount of low-skill hours, and A - thetechnology parameter that augments the productivity of the high-skill labour. 4. In the short run, the firm cannot increase the amount of high-skill labour . Derive the1short-run demand for low-skill labour.5. What is the substitution effect of the wage increase in the short-run?6. Derive the long-run cost-minimizing demands for high- and low-skilled labour. Show thesolution to the cost-minimization problem on the graph
- A company called Tramlaw has become the only employer in the local market for retail labor. The marginal value (extra profit before wages) of hiring an additional worker-hour is ?? = 60 − ?, where ?? is marginal value and ? is the hours of labor worked. The supply of workers is given as ? = ? 2 , where ? is the wage (the price of labor). Assume Tramlaw pays all retail workers in this market the same wage. For parts (a) and (b), ignore the numbers and equations (though you could use the equations as hints). a. Explain in words why Tramlaw’s marginal cost of hiring an additional worker-hour is higher than supply, which represents the marginal cost to the worker of providing an additional hour of labor. b. Draw a market diagram of Tramlaw’s local labor monopsony, including marginal value (MV), supply (S), and marginal cost (MC). Graphically indicate the monopsonist’s profit-maximizing quantity of labor ??, wage ??, the efficient quantity of labor ? ∗ , and any deadweight loss (DWL)…A firm faces a perfectly elastic demand for its output at a price of $6 per unit of output. The firm, however, faces an upward-sloped labor supply curve ofE = 20w - 120where E is the number of workers hired each hour and w is the hourly wage rate. Thus, the firm faces an upward-sloped marginal cost of labor curve ofMCE = 6 + 0.1EEach hour of labor produces five units of output. How many workers should the firm hire each hour to maximize profits? What wage will the firm pay? What are the firm’s hourly profits?To maximize profits, a firm uses a fixed amount of capital and varying amounts of labour inits production processes to produce commodity Y. The output fetches Kshs 3 in the market andthe firm’s production is as summarized.Number of workers Output per hour0 01 92 173 244 305 356 397 428 44 Required;i.Calculate the marginal product of labour for this firm and the value of the marginal productof labour and the Marginal Revenueii.Suppose that the competitive wage for workers who can make Product Y is Ksh16 perhour. How many workers should this firm hire and why?
- Consider a profit-maximizing cotton candy firm that operates in a perfectly competitive output and labor market. Suppose there is a decrease in the price of good X, and the cross-price elasticity of demand for cotton candy with respect to good X is positive. How does this impact: a. the wage paid to cotton candy workers b. the amount of labor hired by the cotton candy firm? Explain and show using well-labelled graphs.Assume that tighter immigration laws cause a reduction in the supply of agriculturalworkers and this leads to higher wages in the sector. Dean’s Fruity Produce Ltd, afarm in Leicestershire, uses two inputs to harvest its output – machines (capital) andagricultural workers. Dean, the managing director of the company, has employedKarishma (a brilliant statistician) and she has estimated that the business’s long-runwage elasticity of labour demand is -1.7. Using isoquant/isocost analysis, explain the possible impact of the higher wages on the output level, total cost of production and input-factor mix of this business in boththe short and long-run and how would your answer change if Karishma had estimated that the long-run wageelasticity of labour demand was -0.4? (1000 words)4 A production function is states as: 120Q1/3, with an output price of 25. Firms total revenue is stated as 11000Q1/2 with a labor supply of Q=15w. If you derive the monopsony equilibrium labor and monopsony wage what would they be.
