Suppose that a firm's production function is given by Q = KL. If capital is fixed at 1 unit in the short run, how much labor should the firm employ to maximize profits if the wage rate is $2? Assume that the price of product the firm sells is $10.
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- Will decrea n he fong run, assume a firm uses both labor and capital to produce 25 units of output. The marginal product of the last unit of labor being employed is 100; the marginal product of the last unit of capital being employed is 500. The wage rate of labor is $10. If the firm is minimizing the cost of producing 25 units of output, what must be the unit price of capital?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?A small specialty cookie company, whose only variable input is labor, finds that the average worker can produce 100 cookies per day, the cost of the average worker is $32 per day, and the price of a cookie is $1.00. Is the firm maximizing profit? The firm O A. is not maximizing profit because the marginal revenue product of labor is greater than the wage. O B. is not maximizing profit because the marginal revenue product of labor is less than the wage. O C. is maxinmizing profit because the marginal product of labor is greater than the wage. O D. is not maximizing profit because the price of the output is not equal to the wage. O E. is not maximizing profit because the marginal product of labor is greater than the wage.
- A firm's demand for labor will increase if the O marginal product of labor decreases. O price of the firm's output increases. O wage rate rises. O price of the firm's output decreases.A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $7 per hour and capital is rented at $11 per hour. If the marginal product of labor is 65 units of output per hour and the marginal product of capital is 55 units of output per hour, should the firm increase, decrease, or leave unchanged the amount of capital used in its production process? O The firm should leave capital unchanged. O The firm should increase capital. O The firm should decrease capital.Suppose that labor is the only input used by a perfectly competitive firm. The firm’s production function is as follows: Number of Workers: 0, 1, 2, 3, 4, 5, 6, 7 Units of Output: 0, 7, 13, 19, 25, 28, 29, 29 a. Calculate the marginal product for each additional worker. b. Each unit of output sells for $10. Calculate the value of the marginal product of each worker. c. Compute the marginal profit if the wage is $100 a day. 2. Your enterprising uncle opens a sandwich shop that employs 7 people. The employees are paid $12 per hour, and a sandwich sells for $6. If your uncle is maximizing his profit, what is the value of the marginal product of the last worker he hired? What is that worker’s marginal product?
- You own a farm, you hire labor and capital to produce apples. The marginal product of the last unit of labor input is 15 and the marginal product of the last unit of capital input is 45. The market wage for labor is SB. If you are using the optimal combination of inputs, then the price of capital is? Select one: a. $45 Ob. $24 c. $360 Od. $3Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. a by drawing an average cost curve in which capital is variable but labor is fixed at the largest amount the firm can hire b by assuming the firm is minimizing total costs at all levels of output n d by finding the lowest average cost of producing any level of output, assuming all inputs can be varied How is the LRAC derived? by finding the largest amount of capital the firm can afford to use, and viewing the output capabilities of that capital amount Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. a b C by drawing an average cost curve in which capital is variable but labor is fixed at the largest amount the firm can hire by assuming the firm is minimizing total costs at all levels of output by finding the largest amount of capital the firm can afford to use, and viewing the output capabilities of that…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…
- Adam operates a small shop specializing in party favors. He owns the build- ing andsupplies all of his own labor and money capital. Adam incurs no explict rental or wagecost. Before starting his own bussines Adam earned $1,000 per month by renting outthe store and earned $2,500 per month as a store manger for a lrge departmentstore chain. Because Adam use his own money capital, he also sacrificed $1,000 permonth interest earned on U.S government treasury bonds. Adam’s monthly revenuesfrom operating his shop are $10,000 and his total monthly expense for labor andsupplies amounted to $6,000. Calculate Adam’s monthly accounting and economic profitsA small speciality cookie company, whose only variable input is labor, finds that the average worker can produce 25 cookies per day, the cost of the average worker is $128 per day, an the price of a cookie $0.50. Is the firm maximizing profit? Choose the answer. It is not maximizing profit because... a. the price of the output is not equal to the wage b. the marginal product of labor is less than the wage c. the marginal revenue product of labor is greater than the wage d. the marginal revenue product of labor is less than the wageItem 9 The following graph shows the marginal and average product curves for labor, the firm's only variable input. The monthly wage for labor is $2,000. Fixed cost is $120,000. | APMP 100 80 60 MP AP 60 80 100 120 140 160 20 40 Labor When the firm uses 100 units of labor, what is marginal cost at this level of output? Multiple Choices $33.33 $25 = % O $180 O $90 Ave rage aid m arginal prodictof labor 20
