5. Consider the labor market in an imaginary coastal town called Nutsland. There is only one buyer in that market, namely Nutsland Farm that operates with a production 1² function of Q=L - The supply of labor is given as L-w-2, where w is the wage. On the output side, Olive Farm takes the price P =20 TL/kg for its olive oil as given due to intense competition in that market. 40 a. Find Olive Farm's profit-maximizing labor demand. What wage does it have to pay? b. What would be the wage in Nutsland if the market were competitive? c. Compare the welfare implications of a) versus b). Calculate the deadweight loss and show it on a graph.
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- 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)^ 1.25Assumed that the demand (D) for potato given by demand: Q = 1500 − 15P, where Q isquantity per month measured in kilos and P is price per kilo. 1. Supply is equals to 900 kilos one day, what will the price be?2. Supply were to fall to 300 kilos, what would the price be?3. The D for Potato shifts outward to Q = 2100 − 15P, what will be answer in part 1 and 2 change?4. Graph the resultsThe nation of Ectenia has 20 competitive appleorchards, all of which sell apples at the world priceof $2 per apple. The following equations describethe production function and the marginal product oflabor in each orchard:100100 2 ,2 5 25 2Q L LMPL Lwhere Q is the number of apples produced in a day,L is the number of workers, and MPL is the marginalproduct of labor.a. What is each orchard’s labor demand as a functionof the daily wage W? What is the market’s labordemand?b. Ectenia has 200 workers who supply their laborinelastically. Solve for the wage W. How manyworkers does each orchard hire? How much profitdoes each orchard owner make?c. Calculate what happens to the income of workersand orchard owners if the world price doubles to$4 per apple.d. Now suppose that the price is back at $2 perapple but a hurricane destroys half the orchards.Calculate how the hurricane affects the income ofeach worker and of each remaining orchard owner.What happens to the income of Ectenia as a whole?
- a) Suppose that in the production of computer software, the marginal rate of technical substitution between engineers and marketer is 5 for IBM and 3 for Microsoft. Explain why this outcome violates the condition for efficiency in production and how a voluntary exchange could make both companies better off. b) Ignoring rationing problems and black markets, under rent control (or any price ceiling that produces a shortage) the price paid by consumers equals the marginal cost of producing the good. Does this mean the output level is efficient? Explain. c) What does the contract curve in an Edgeworth production box signify? Why do competitive markets generate equilibriums that lie on the contract curve?Suppose that the demand and supply curves for good X are: QD = 75 − 1.25P and QS = −60 + 2.50P A: Algebraically solve for the market equilibrium price and quantity, neatly showing your work. B: Neatly construct a graph and plot the demand curve, carefully showing the horizontal andvertical intercepts. On the same graph, neatly plot the supply curve, showing an intercept. Label theequilibrium.Suppose that a firm's production is given by: Q= 10L-L² , for L= 0 to 5, where L is labor input per day and Q is output per day. Derive and draw the firm's demand for labor if the firm's output sells for $10 in a competitive market. The marginal product of labor is 10-2L. a. How many hours of labor will the firm use when the wage is $30 per day? b. How many hours of labor will the firm use when the wage is $70 per day?
- 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…Consider the labor market in an imaginary coastal town called Nutsland. There is only one buyer in that market, namely Nutsland Farm that operates with a production function of Q= The supply of labor is given as L=w-2, where w is the wage. On the output side, Olive Farm takes the price P =20 TL/kg for its olive oil as given due to intense competition in that market. Find Olive Farm's profit-maximizing labor demand. What wage does it have to pay? What would be the wage in Nutsland if the market were competitive? Compare the welfare implications of a) versus b). Calculate the deadweight loss and show it on a graph.Consider a factory that produces iPhones. This factory relies on both employees (labor) and machines (capital). Which of the following would decrease the demand forlabor?O a. Public taste shifts away from iPhones towards AndroidsO b. The price of capital falls and labor is easily substituted for capital.O c. The factory has trouble hiring competent workers (workers become less productive).O d. (b) and (a)O e. all of the above
- 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 timeTrue or False, Explain Why 1. A production function is characterized by ? = 10 + 5L, where q is output per hour and L is labor input per hour. If workers earn $10 per hour, the marginal cost of the 5th unit of output is $10. 2. The producers’ surplus in the short-run reflects what the firms gain, while the producers ‘surplus in the log-run reflects what the input owners gain. 3. A monopoly is a price maker, thus its price can never be equal to its marginal revenue. 4. For a monopolistic competitive firm, if a government imposes a lump-sum tax on a firm, the policy will never affect its profit maximizing output and price.I would like to know just part d,e, and f. Thank you Suppose that the supply of tomato soup in a city is represented byQS = 100P – 10PT − 50where P is the price of tomato soup and PT is price of tomato needed to produce tomato soup. All prices are indollars and quantity is in liters.Assume that the current tomato price is $15.Suppose that the demand for the tomato soup is QD = 1000−60P + 0.3Iwhere P is the price of the tomato soup and I is a representative household’s income.Assume that at the equilibrium, income is $12000.a) What are the current equilibrium price and quantity of the tomato soup? Show the equilibrium on a detailedgraph.b) Suppose that income decreases to $10400. What is the new equation for the demand for tomato soup? Doesthis correspond to an increase or decrease in the demand for tomato soup? Show the effect of this event onthe equilibrium and the diagram you used in part (a)c) Start from the equilibrium in part a) and now suppose that the price of the tomato…