A perfectly competitive firm's production function is Q=4LK where Q is the amount produced, L is the amount of labour hired and K is the amount of capitàl used. P is the price that the firm gets for its product. What is the marginal revenue product of labour? O 8PK O 4L
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- 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 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.Item 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
- Oc. The marginal product of labour is rising as hours of study increase. O d. The marginal product of labour is zero beyond 15 hours. Imagine that you work for 40 hours per week at the wage rate of £10 an hour. Your free hours are defined as the number of hours not spent in work per week, which in this case is 24 hours x 7 days - 40 hours = 128 hours per week Suppose now that your wage rate has increased by 100%. If you want to keep your total weekly income constant, then: Select one or more: a. Your total number of hours will fall by 25%. O b. Your total number of hours will fall by 50%. O C. You will work 25 hours per week. O d. Your free time will increase by 25%. ASUS ZenBookCalculate the Average Total Cost for points A & B. Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 O A-S35 -525.83 O 4:52.80 B-5182 OA-S0.36 B-50.s OAS250 BS147 Question 4 Calculate the Average Variable Cost for points A &B Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 OA52.50 -4147 OAS030 -5035A firm's production function takes the form: Q(L, K) = min {8L, 6K}, where Q represents output and L and K represent labour and capital, respectively and where w and r give the prices of labour and capital. What would be the expression for the firm's marginal costs? O O O O MC = w + 1/ MC = 6r + 8w MC = W MC 6w+8r W MC = 8 +! 6 + 3r 6w+8r = Q (²= ² + ² )
- 3. Suppose that labor is the only input used by a perfectly competitive firm. The firm's production function is as follows: Days of Labor 0 days 2 Units of Output 0 units L 118 119 4 a Calatane dhe marginal product of each additional worker. h. Each unit of output sells for $10. Calculate the value of the marginal product ofGopher Excavators produces shovels in a small factory and sells the shovels in a competitive market. The following table shows the company's production function: Labor Output (Shovels) (Number of workers) 0 0 1 100 2 195 3 275 4 340 5 380 Use the blue points (circle symbol) to plot the production function for Gopher Excavators on the following graph. (?) 400 O -O- 360 Production Function 320 280 240 200 160 120 80 40 0 O 0 2 2 5 LABOR (Number of workers) Calculate the marginal product of labor (MPL) of each worker, and then plot the MPL curve on the following graph using the blue points (circle symbol). Note: Remember to plot each point halfway between two integers. For example, when the number of workers increases from 0 to 1, the MPL of the first worker should be plotted with a horizontal coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect the points. ? 100 90 80 70 60 50 40 30 20 OUTPUT (Shovels) MPL (Shovels per worker) 10 0 0 O 1 1 2…A firm should continue to hire a resource as long as the resource's marginal revenue product exceed the resource's marginal resource cost. O True O False
- The Rocky Mountain Spring Water Company experiences a surge in orders, because the water of one of its major competitors is taken off the market due to news that samples contained benzene. As the Company struggles to increase production of its bottled water, it finds that the marginal product of labor, its only variable input, approaches zero. When the marginal product of labor becomes zero this month, the firm Select one: O a. will still be able to fill additional orders this month without hiring more workers. O b. won't be able to fill any additional orders this month. O c. will achieve maximum output per unit of labor. O d. will be able to fill additional orders this month by hiring more workers.Suppose college graduates earn $25 an hour and high school graduates earn $5 an hour. Suppose too that the marginal product of college graduates at Johnson Tools is 8 hammers per hour, while the marginal product of high school graduates is 4 hammers per hour (regardless of the number of each type of worker employed). a. What is the least-cost production method for producing 100 hammers in an eight-hour day? O Hire one-third college graduates and two-thirds high school graduates. O Hire two-thirds college graduates and one-third high school graduates. Hire only high school graduates. Hire half college graduates and half high school graduates. O Hire only college graduates. b. What if the marginal product of high school graduates was instead 2? O Hire half college graduates and half high school graduates. Hire only high school graduates. O Hire two-thirds college graduates and one-third high school graduates. O Hire only college graduates. O Hire one-third college graduates and…A firm's production function is Q = 100L.0 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22. QUESTION 2 A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use? O A. F=7.90. O B. F=9.58. O C. F=10.75. O D. F=12.63. O E. F=14.88.
