A firm is producing optimally (maximizing profits) when the price level=$1. It pays a wage rate...
Question:
A firm is producing optimally (maximizing profits) when the price level=$1. It pays a wage rate of $10 per hour to labor and rents capital for $8 per hour. It sells its product for $20 per unit. At its current production point we can assume that its marginal product of labor (MPL) equals what (Carefully follow all directions for entering numeric answers)?
The production function (with labor on the horizontal axis) has a slope best described as:
A. positive and increasing in value
B. positive but decreasing in value
C. negative but increasing in value
D. negative and decreasing in value
Marginal Product and Marginal Revenue Product:
The marginal (physical) product is the increase in total output associated with an additional unit of input, such as capital and labor, in production. The marginal revenue product, on the other hand, measures the increase in dollar value of revenue associated with an additional unit of input.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerQuestion 1
The marginal product of labor (MPL) equals 0.5.
For the firm to be maximizing profit, it must hire labor up to the point where the...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:

from
Chapter 2 / Lesson 13Learn about marginal revenue and understand how to use the marginal revenue formula. See how to calculate marginal revenue and the impact of price and marginal cost.
Related to this Question
- A firm is producing optimally (maximizing profits) when the price level = $1. It pays a wage rate of $10 per hour to labor and rents capital for $8 per hour. It sells its product for $20 per unit. At
- A firm is currently producing their profit maximizing quantity of 600 units of output using 150 hours of labor and 50 hours of capital. The marginal product of labor is 10 units of output per hour and
- A firm's product sells for $4 per unit in a highly competitive market. The firm produces output using capital (which it rents at $25 per hour) and labor (which is paid a wage of $30 per hour under a c
- A manager hires labor and rents capital equipment in a very competitive market. Currently, the wage rate is $12 per hour and capital is rented at $9 per hour. If the marginal product of labor is 40 units of output per hour and the marginal product of capi
- A manager hires labor and rents capital equipment in a very competitive market. Currently, the wage rate is $10/hour and the capital rental price is $5/hour. If the marginal product of labor is 50 units of output per hour and the marginal product of capit
- A firm uses capital and labor to produce gadgets. If the firm profit maximizing combination of capital and labor is 2 and 3 respectively and each machine costs $50 an hour and each worker $20 an hour. What is the firm's production costs in an hour?
- The company you work for hires labor and capital in competitive factor markets. Currently the wage rate is $10 per hour and capital is rented at $21 per hour. If the marginal product of labor is 30 units of output per hour and the marginal product of capi
- A firm is currently producing 200 units of output using 60 hours of labor and 80 hours of capital. The marginal product of labor is 12 units of output per hour, and the marginal product of capital is 15 units of output per hour. If the wage rate is $6 per
- A firm is producing 100 units of its product. At this level of output the AVC=$60, and the ATC=$80. The firm is a price taker and the price for its product is $100. Assuming that the firm is maximizing profits and that labor is the only variable input. Fr
- A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $10 per hour and capital is rented at $12 per hour. If the marginal product of labor is 40 un
- A manager hires labor and rents capital equipment in a very competitive market. Currently, the wage rate is $12 per hour and capital is rented at $8 per hour. If the marginal product of labor is 60 un
- A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $ 12 per hour and capital is rented at $ 8 per hour. If the marginal product of labor is 60 u
- The wage for qualified workers is $12 per hour and capital is rented at $8 per hour. The marginal product of labor is 60 units of output per labor hour, and the marginal product of capital is 48 units of output per hour of capital rental. The marginal pro
- The marginal product of labor is 5 units of output per hour and the wage is $10. Capital can be rented at $8 per hours. At the optimal input combination, what is the marginal product of capital? If capital is cheaper per hour, why not only use capital?
- It is profitable to hire units of labor as long as the value of marginal product: a. is less than wage. b. exceeds average product. c. equals price. d. exceeds wage.
- A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $8 per hour and capital is rented at $15 per hour. If the marginal product of labor is 50 uni
- If a firm is producing a quantity of 100 and charging a price of $25, it: a) should keep production at 100 units but lower the price to $13 to maximize profits. b) is already maximizing profits and should not change the price or quantity produced. c) s
- A firm's production function is Q = 8L^(1/2) and this firm sells each unit of its product at a price of P = $100. It also pays its workers a wage of w = $10. a. How many workers would this firm hire to maximize its profit if it only has labor costs and no
- Suppose a competitive firm is paying a wage of $12 an hour and sells its product at $3 per unit. Assume that labor is the only input. If the last worker hired increases output by 3 units per hour, then to maximize profits, the firm should: A. lay off some
- If a firm wants to maximize its profits, it should: a. equate the marginal revenue product for each input to the price of the input. b. hire unskilled labor rather than skilled labor since unskilled labor is cheaper. c. hire lots of capital and very lit
- Suppose the production function for a competitive firm is Q = K^.75L^.25. The firm sells its output at a price of $32 and can hire labor at a wage rate of $2. Capital is fixed at 1 unit. a. What is the profit-maximizing quantity of labor? b. If the price
- The attached information describes production data for profit-maximizing Firm X. The price level is $2 and Firm X currently pays its labor $30 per hour. It should therefore produce with ______ units o
- A firm in a competitive industry faces a market price for output of $20 and a wage rate of $500. At the current level of employment (50 units of labor), the marginal product of labor is 30. In order to maximize profit, the firm should: a. hire less labor
- A manager hires labor and rents capital equipment in a very competitive market for his firm to produce a certain quantity of output. Currently the wage rate is $10 per hour and capital is rented at $1
- A firm is employing 100 workers (w = $15/hour) and 50 units of capital (r = $30/hour). At these levels, the marginal product of labor (MPL) is 45 and the marginal product of capital (MPK) is 60. Answe
- A price-taking firm (p = 100) chooses an amount of labor to employ that maximizes its profits. It has a fixed amount of capital (K= 100) and a constant return to scale Cobb-Douglass production function: q(L, K) = L^(1/2) K^(1/2). The wage rate and rental
- Firm A can produce a unit of output with 10 hours of labour and 5 units of capital. Firm B can produce a unit of output with 5 hours of labour and 10 units of capital. Firm C can produce a unit of output with 10 hours of labour and 10 units of capital. If
- A firm produces output according to the production function: Q = F(K,L) = 4K + 8L. b. If the wage rate is $60 per hour and the rental rate on capital is $20 per hour, what is the cost-minimizing input mix for producing 32 units of output? c. If the wage r
- A firm produces output according to the production function Q = F(K, L) = 4K + 8L. 1. If the wage rate is $60 per hour and the rental rate on capital is $20 per hour, what is the cost-minimizing capital and labor for producing 32 units of output? 2. If th
- If a business produces and sells only one unit of a good, its profit would be the a. price received for the good b. price of the product minus the cost of the resources used to produce the product c.
- Holding capital fixed at K=2 units, the firm's production table shows when labor units (L) = 1, output (Q)=5; L=2, Q=11; L=3, Q=16; L=4, Q=20; L=5, Q=22. Also, the firm can sell each unit of output at a price of P=$2. If so, the marginal product of labor
- Suppose, in the long run, for a firm, the marginal product of labor is 100, the marginal product of capital is 120. The wage rate (per unit of labor) is W = 20, and the rental price (per unit of capital) is R = 24. Then which of the following is true? A.
- Firm A can produce a unit of output with 10 hours of labor and 5 units of capital. Firm B can produce a unit of output with 5 hours of labor and 10 units of capital. Firm C can produce a unit of output with 10 hours of labor and 10 units of capital. If th
- Consider labor that is hired for $18 per hour. If the last hour of labor hired produces 8 units of output which sells for $10 per unit, that labor hour's marginal revenue product is: A) $1.20 B) $4.44 C) $64 D) $80 E) $144
- The short-run production function of a profit maximizer firm is given by f(L) = 6L^(2/3), where L is the amount of labor it uses. The cost per labor unit is w = 6, and the price per unit of output is p = 3. 1) How many units of labor will the firm hire?
- The daily production function at present fixed capital cost is Q = 90(L)^{1/3}. If workers at the firm are paid a competitive wage of $1000 (per month) and products can be sold for $300 each, what is your profit maximizing level of output and labor usage
- Suppose you have a firm whose production function is given by Q=K^0.3L^0.7. Wages=3, Rental rates=6, Price of product = $10 a) In the short run, capital is fixed at 5. What is the optimal labor demand in the short run? b) What is the optimal ratio of c
- If a firm wants to maximize profits it should: a. Hire each factor of production up to the point at which the marginal physical product per the last dollar spent is equalized, b. Hire each factor of production up to the point at which the marginal facto
- A firm is producing 1,000 units of output with 40 units of labor and 30 unit of capital. The marginal product of the last units of labor and capital are, respectively, MPL = 60 and MPK = 120. The prices of labor and capital are, respectively, w = 30 and r
- Consider labor that is hired for $18 per hour. If the last hour of labor hired produces 8 units of output which sells for $10 per unit, that labor-hour adds $_____ to the firm's profit and so _____ labor should be hired. A) 64; more B) -64; less C) 62; le
- Your firm must produce a specified output level. The firm uses capital and labor as inputs. If the price of capital is $40, the price of labor is $100, the marginal product of capital is 20, and the marginal product of labor is 40, then: - the firm is mi
- If the last worker employed ($15/hour) produces 45 additional units of output per hour and the last unit of capital employed ($200/hour) produces 1,000 units of output per hour, how can the firm minimize the cost of its current output? a) hire more labor
- If the last worker employed ($10/hour) produces 50 additional units of output per hour and the last unit of capital employed ($500/hour) produces 2,500 units of output per hour, how can the firm minimize the cost of its current output? a) hire more labor
- A price-taking firm chooses its inputs to maximize long-run profits. Labor and capital are substitutes in production, and both exhibits decreasing returns to scale, q(L, K) = L^{\frac{1}{2 + K^{\frac{1}{2. The output price is 100, and the price of eac
- Assume a firm employs 10 workers and pays each $15 per hour. Also assume that the marginal product of an 11th worker would be 5 additional units of output per hour and that the price the firm receives for its good is $4 per unit. Therefore: - the firm sh
- A firm produces a good X. The production function is: Q = 5LK. L is labor in person hours, K is capital in machine hours and Q is quantity produced of good X. The firms's labor cost (w) is $20 per ho
- A firm hires capital and labor to produce grapefruits. Currently the marginal product of the last unit of labor input is 40 and the marginal product of the last unit of capital input is 60. the market wage is $20, if the firm is using the optimal combinat
- A firm produces output that can be sold at a price of $10. The Cobb-Douglas production function is given by Q = F(K,L) = K^1/2 L^1/2. If capital is fixed at 1 unit in the short run, how much labor should the firm employ to maximize profits if the wage rat
- The production function of a firm is y = min {2l, k} where y, l and k rest denote output, labor, and capital. The firm has to produce 10 units of output and the wage rate is 2 and the price of capital
- According to the table above, at a price of $.70 this firm will produce: a) 6 units because that maximizes profits. b) 8 units because that maximizes profits. c) the firm will not produce any units.
- Suppose capital is fixed at 81 units. If the firm can sell its output at a price of $200 per unit and can hire labor at $50 per unit, how many units of labor should the firm hire in order to maximize profits?
- A firm is producing 200 units of its product. At this level of output the AVC=$20, and the ATC=$70. The firm is a price taker and the price for its product is $100. Assuming that the firm is maximizin
- A firm makes each unit of output using 2 workers and 1 machine (per hour). The hourly production function is Q = min(K, 2L). The hourly wage is w = 4 and the hourly rental rate of capital is r = 2. Fi
- Suppose the hourly wage is $2, the price of each unit of capital is $4, and the price of output is $8 per unit. Assume that the firm cannot affect any of these prices. The production function of the firm is f(E, K) = KE^1/2. If the current capital stocked
- Suppose a firm has a production function given by Q = K^{0.5}L^{0.5}. The firm pays a wage of $64 per unit and pays a rental rate of the capital of $5 per unit. K = 256 in the short run. The maximum level of profit this firm could make in the short run if
- A firm produces according to the following production function: Q = K0.25L0.75. The price of K is $4 per unit, and the price of L is $6 per unit. a. What is the optimal capital/labor ratio? b. Derive the amount of capital and labor required to produce 400
- The marginal product of labor is 10 and the marginal product of capital is 20. If the wage rate is $10 and the price of capital is $5, is the firm using the right balance of capital and labor? Explain
- A firm uses labor and capital, (L, K), to produce and output. The hourly cost of labor is $10 and the hourly cost of capital is $50. Which of the following combinations of labor and capital hours of use represent points on the firm's $100,000 isocost line
- Suppose the hourly wage is $2, the price of each unit of capital is $4, and the price of output is $8 per unit. Assume that the firm cannot affect any of these prices. The production function of the firm is f(E, K) = KE^1/2. Now let s think about the long
- A firm produces output with capital and labor. Suppose currently the marginal product of labor is 21 and the marginal product of capital is 6. Each unit of labor costs $12 and each unit of capital co
- If the marginal product of labor is 2, the marginal product of capital is 4, the wage rate is $3, the rental price of capital is $6, and the price of output is $1.50, then the firm should: a. increase output by hiring more labor, more capital, or both. b.
- If the marginal product of labor is 3, the marginal product of capital is 4, the wage rate is $4.50, the rental price of capital is $6, and the price of output is $1.50, then the firm should: A. increase output by hiring more labor, more capital, or both
- If the price of capital is higher than the price of labor, a firm should use: A) Capital and labor, making sure the marginal product of capital is larger than the marginal product of labor. B) Capital and labor, making sure the ratio of the average prod
- A firm produces 1,000 units of output with a particular combination of labor and capital such that the MRP of labor is $30 and MRP of capital is $40. If you know that this firm is maximizing profits,
- Consider a profit-maximizing firm that uses labor, L, as an input to produce its output, Q, according to the production function Q = L^1/2. Labor is paid an hourly wage w. The firm's total revenue is
- Refer to the table below. If this profit-maximizing firm sells its output in a competitive market for $3 per unit and hires labor in a competitive market for $8/hour, then this firm should hire. a. one worker b. two workers c. three workers d. four worker
- If the price of capital is higher than the price of labor, a firm should use: a. capital and labor, making sure that the marginal product of capital is larger than the marginal product of labor. b. capital and labor, making sure that the ratio of the aver
- Assume that a firm employs labor and capital by paying $40 per unit of labor employed and $200 per hour to rent a unit of capital. Given that the production function is given by: Q = 10L - L^2+ 60K -1.5K^2, where Q is total output, L is labor, and K is c
- Four profit-maximizing oligopolists produce electricity. They set their productions levels, y1, y2, y3 and y4, simultaneously. Each firm's cost function is given by C(y) =4y. The price of unit electri
- Suppose that a firm has the following production function: Q(K, L) = 2LK^{1/2} a. If the price of labour is $2/unit and the price of capital is $4/unit, what is the optimal ratio of capital to labou
- A firm uses labor and capital (L, K), to produce an output. The hourly cost of labor is $10 and the hourly cost of capital is $50. Which combinations of labor and capital hours of use represent points
- A firm is employing 100 units of labor and 50 units of capital to produce 200 widgets. Labor costs $10 per unit and capital $5 per unit. For the quantities of inputs employed. MPL = 7 and MPx = 5. In this situation, the firm A. is producing the maximum ou
- A perfectly competitive firm is producing 700 units of output in a market where the price is $50 per unit. At this output, TC= $40,000 and TVC= $30,000. The firm is currently producing a level of output where MC is $20 per unit. This output level maximize
- A firm has two variable factors and a production function f(L, K) = L1/4K1/2. The price of L is 3/4 and the price of factor K is 6. The price of its output is 12. What is the maximum profit the firm can make? a. 9 b. 12 c. 18 d. 73 e. None of the above
- A firm uses capital and labor to produce a single output good. The production function is given by F(K, L) = K L^{0.5} where K is the amount of capital and L is the amount of labor employed by the firm. The unit prices of capital and labor are given by, r
- Firm A can produce a unit of output with 10 hours of labor and 5 units of material. Firm B can produce a unit of output with 5 hours of labor and 10 units of material. Firm C can produce a unit of output with 10 hours of labor and 10 units of material. If
- A firm produces output according to the production function Q = F (K, L) = K + 10L. If the wage rate is $50 per hour and the rental rate on capital is $4 per hour, what is the cost-minimizing input m
- If the wage rate is $10 per hour and one worker can produce 2 units of output per hour, then the marginal cost of production is: a. $5. b. $10. c. $20. d. The answer cannot be determined from the information given.
- The long run is a time frame in which: A) the firm can hire all the workers it wants to employ, but it does not have sufficient time to buy more equipment. B) the firm is able to maximize revenue. C) the quantities of all factors of production can be vari
- This firm doesn't use capital (K). They only use labor (L). Suppose the firm's production function is Y = L^(x). Furthermore, r = rental rate of capital and w = wage. Find the profit function and solv
- If at optimum output of 1,000 units the firm is incurring average variable cost per unit of $2.50, average fixed per unit of $3.50, and selling its output at $8.00, then what is its total profit?
- If workers at the firm are paid a competitive wage of $120 and chairs can be sold for $400 each, what is the profit-maximizing level of output and labor usage?
- Firm 1 can produce a unit of output with 10 hours of labor and 5 units of material. Firm 2 can produce a unit of output with 5 hours of labor and 10 units of material. Firm 3 can produce a unit of output with 10 hours of labor and 10 units of material. If
- A firm produces 8,000 units of output, which it sells for $1.50 each. It produces this output using only labor and capital, and pays $7,000 to its labor and $1,500 to its capital. The firm's owner fee
- If a firm has a production function f(k,l) = 3k^{0.3}l^{0.5} where r = 8, w = 9, and the price of output = 17, What is profit maximizing level of capital? For this question both the level of capital
- Suppose that a firm's production function is q = 10L^{0.5}K^{0.5} . The cost of a unit of labor is $10/hour and the cost of capital is $40/hour, and the firm is currently producing q=1000 units
- The production function is f(x_1, x_2) = x_1^{1/2}x_2^{1/2}. If the price of factor 1 is $4 and the price of factor 2 is $6, in what proportions should the firm use factors 1 and 2 if it wants to maximize profits?
- A firm has the production function f(k, l) = 2k sqrt l. Let the price of capital be r = 1, the price labor be w = 2, and the price of output be p. Find the marginal products of capital and labor. Does the firm have constant returns to scale?
- Assume that both the product and labor markets are perfectly competitive. It would be profitable for a firm to hire additional labor if the ratio of the wage to the marginal produce of labor is a. les
- Suppose a firm with a production function given by Q=4K^0.25L^0.75 produces 100 units of output. The firm pays a wage of $30 per units and pays a rental rate of capital $10 per unit. The minimum cost
- If production is Q=(a^c) min (K, L) where a is greater than 0, c is greater than 1 , price of capital, (r) = 10 and price of labor, (w) = 10 what is the optimal combination of capital and labor? Does
- A profit-maximizing firm will hire additional units of labor until: a. the additional cost of hiring the last worker equals the additional revenue generated by that worker b. the extra revenue from hi
- Suppose a firm follows the production function f(E,K) = E K . The hourly wage of hiring one worker is $10 and the price of each unit of capital is $50. The price of output is constant at $100 per uni
- Suppose a firm follows the production function f(E,K) = E^{1/2} K^{1/2}. The hourly wage of hiring one worker is $10 and the price of each unit of capital is $50. The price of output is constant at $100 per unit. a. Write out the function for the margina
- When a perfectly competitive firm employs one worker, it produces 20 units of output. When the same firm employs two workers, it produces 39 units of output. The firm sells its product for $10 per unit. What is the marginal revenue product connected with
- Suppose a firm is currently using 500 laborers and 325 units of capital to produce its product. The wage rate is 425, and the price of capital is $130. The last laborer adds 25 units to total output, while the last unit of capital adds 65 units to total o
- A firm's production function is q=5L^0.5K^0.5. The firm's capital is fixed at K=400 units, in the short run. The rental rate of a unit of capital is $9, and the wage rate is $100 in the short run. De