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- 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?4) A firm faces a production function of twittle-twaps: Q(K,Lp,Ln) = 5*K(2/5)*LP(1/3)*LN(1/5) per hour, where capital (K), production labor (LP), and non-production labor (LN) are input factors used in production. The firm operates in a competitive market, where they are a price taker within the capital & labor markets and its own price (r = 40, wP = 25, wN = 50, P = 20). Answer the following.a. If capital and non-production labor are fixed at K = 32 and LN = 243, what is the general form MPLP and graph Q wrt to LP changing [you do not need to solve for LP yet].b. Is this production function decreasing, constant, or increasing returns to scale and why.c. Given the wage of production workers and the price of twittle-twaps, what is the optimal number of LP to employ to maximize profits and the quantity produced (VMPLP = wP).d. If the firm can control both K and LP, what does the Isoquant curve look like and its slope in relative terms if LN is fixed at 243 units [IQ slope =…4) A firm faces a production function of twittle-twaps: Q(K,Lp,Ln) = 5*K(2/5)*LP(1/3)*LN(1/5) per hour, where capital (K), production labor (LP), and non-production labor (LN) are input factors used in production. The firm operates in a competitive market, where they are a price taker within the capital & labor markets and its own price (r = 40, wP = 25, wN = 50, P = 20). Answer the following.a. If capital and non-production labor are fixed at K = 32 and LN = 243, what is the general form MPLP and graph Q wrt to LP changing [you do not need to solve for LP yet].b. Is this production function decreasing, constant, or increasing returns to scale and why.c. Given the wage of production workers and the price of twittle-twaps, what is the optimal number of LP to employ to maximize profits and the quantity produced (VMPLP = wP).d. If the firm can control both K and LP, what does the Isoquant curve look like and its slope in relative terms if LN is fixed at 243 units [IQ slope =…
- 4. For each of the following production functions, write the equation and graph the supply curve of the firm if w=20 and r=50 When the price of output is $20, how much will the firm offer to the market and what are the profits of the firm? a. Q = 10 K^.2L^.5B^.1 in the long-run with capital flexible. B is the amount of Building Space employed, which is held fixed at 1 unit in both the long-run and the short-run and has a price of $100 per unit. b. Q= (4K^.6 + 8L^.6)^ 1.256 workers and 4 machines are required to produce 2 computers. 2 workers and 2 machines are required to produce 2 units of tomato. A. Find the labor and capital requirement per one computer and 1 unit of tomato? B. Which industry is a labor intensive? Capital intensive?2. Thor runs a business called Heavy Hammers, which produces some of the heaviest hammers you’ve ever seen! He uses two inputs in the production of hammers: labour, denoted by L, and capital, denoted by K. Heavy Hammers produces hammers, denoted by H, according to the following production technology: H = f(L,K) = L12 K14 . Thor must pay each unit of labour a wage rate w and is able lease his capital equipment at r dollars per unit. The market price of hammers is $4. (a) Write down Thor’s profit maximization problem. (b) Write down and equation that sets the marginal product of labour equal to the wage rate of labour, w. Then write down and equation that sets the marginal product of capital equal to the lease rate, r. 2 (c) Solve the two equations from part (b) for the two unknown inputs L and K. Your solutions give the profit-maximizing choices of labour and capital as functions of the wage and lease rates, w and r. (d) If the wage is 2, and the lease rate is 1, how…
- Only typed answer and please don't use chatgpt How does the market for inputs like labor differ from the market for goods and services? (Check all that apply.) Part 2 A. Firms are sellers in the market for goods and services, while individuals are sellers in the market for inputs. B. The demand for inputs is derived from the demand for final goods and services. C. Firms are buyers in the market for inputs, while individuals are buyers in the market for goods and services. D. The market for inputs resolves shortages and surpluses through government-supervised negotiations.Q5. A bicycle manufacturer in China currently employs 40 production workers and five supervisors and produces . The marginal product of the last production worker employed is 60 units of output per hour, and production workers are paid 50 CNY per hour. The marginal product of the last supervisor employed is 120 units of output per hour, and supervisors are paid 80 CNY per hour. i. If the firm produced 2,100 bicycles per month before the last production worker was hired, how many bicycles does it produce now? ii. Assume that the firm's isoquants are smooth curves and that labor hours can be varied continuously. Is the firm producing the maximum level of bicycles given its current level of cost? Explain why or why not. If it isn't, explain what it should do to increase output.5:23 The amount that a firm pays for all of the inputs that go into producing goods and services is the: O average cost. O total revenue. O total price. O total cost.
- H6. Your mother owns and runs an arts and craft store, and the business is doing well. She would have otherwise been employed as a high school geography teacher making $80,000 a year or as an interior decorator making $68,000 a year. She owns the building in which her shop is located, which she could have rented out for $24,000 a year. Her annual revenue from the shop is $430,000 and she employs four workers, each of whom earns $30,000 a year. On average, she spends $206,000 per year traveling, purchasing, and shipping unique merchandise for resale at her store. Based on this information, do you think you should encourage her to return to teaching? Explain your advice with the help of calculations on her opportunity costs, accounting profit, and economic profit.Explain with the help of Graphs of Total Product (TP) and Marginal product (MP) the three laws of variable proportions and their significance in Industry and agriculture. Give the relationship between TP and MP at different stages of variable proportions. What is the relationship between Average Product curve (AP) and marginal product curve (MP) and explain at what point a progressive firm should change its labor or capital inputs with more skilled labor or with new technological machine in order to remain comparative in the market. What would happen to its product in the market if it does not change its machines or if it changes all its machines at the same timeI plan to reopen a business consists of five kiosks for serving the customers who come to service their Phones. In this case, I must hir five Professional workers.So here, we can regard the kiosk and workers as the input and the serviceable phones as output. IN five kiosks = I can serve a total of 100 customers every week. But the expectons we will facing 150 customers daily for servicing their Phones.So, to serve all the customers, if I -rent five more kiosks to do the needful and also , hir additional five Professional workers. 1- How to exhibit increasing returns To Scale?2- How to exhibit decreasing Returns To Scale3- How to exhibit Constant returns to scale? Please make sure to include an adequate explanation as to why this is true.
