Answer the question based on the following information: Suppose 55 units of product Z can be produced by employing just labor and capital in the four ways shown in the following table. Assume the prices of labor and capital are $5 and $6, respectively. Labor Capital A 12 6 Production Techniques B C 14 8 5 10 D 6 9 Also assume the price of product Z is $2. How much profit will be made when the firm uses the most economically efficient method of producing Z?
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- Consider a production process where flowers are grown (the output) using gardeners (labor) and greenhouses (capital). The quantity of flowers grown per day with various combinations of labor and capital are shown in the table. Fill in the marginal product of labor in the table below. (Enter your responses as integers.) Labor Сapital Output Marginal Product of Labor 0. 1 1 1 120 2 1 360 1 480 4 1 540 1 570 IPOALLERGENIC TITANION POSTSDigging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.2. The Acme Anvil Company's output is given by the Cobb-Douglas Production function P = 60L2/3K1/3, where P is the number of anvils produced when L is the amount spent on labor and K is the amount spent on capital. a. What is the production if L = 150 and K = 150? b. Find the marginal productivities. c. Evaluate the marginal productivities with L = 150 and K = 150. d. Interpret the meanings of the marginal productivities found in part c. e. If their budget is $300 then there is a constraint L+ K = 300. Use Lagrange multipliers (2) to find the values of L and K that will maximize production and find the maximum production f. Find 2. 12| is called the marginal productivity of money and will give the number additional units produced for each dollar increase in the budget. Interpret 2 for this problem. Only need paVAS e and fl
- 1. Pekan Nenas has 20 competitive pineapple orchards, all of which sell pineapples at the world price of RM2 per pineapple. The following equations describe the production function and the marginal product of labor in each orchard: where Q is the number of pineapples produced in a day, L is the number of workers, and MPL is the marginal product of labor. (a) (b) (c) Q = 100L - L² MPL = 100 - 2L, (d) What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand? Pekan Nenas has 200 workers who supply their labor inelastically. Solve for the wage W. How many workers does each orchard hire? How much profit does each orchard owner make? Calculate what happens to the income of workers and orchard owners if the world price doubles to RM4 per pineapple. Now suppose that the price is back at RM2 per pineapple but a flood destroys half the orchards. Calculate how the flood affects the income of each worker and of each remaining orchard owner. What…We R' Write is really worried about their production line for pens. The company is concerned that they are employing more workers on the production line than necessary. We R' Write has provided you with the production information for pens in the table below that corresponds to different numbers of workers on the production line. Describe where the law of diminishing marginal productivity begins for We R' Write. We R' Write currently uses 75 workers on the production line per day. Given the calculations in the table, is this number optimal? Why, or why not? If you could make a suggestion regarding the optimal number of workers We R' Write should use on the production line, what would it be? Why? Number of Workers per Day Pens Produced per Day Average Product Marginal Product Price per Pen Total Value Product Average Value Product Marginal Value Product Price of Worker per Day 0 0 --- --- $3.50 $0.00 --- --- $560 15 1,000 66.67…Suppose the production function for high quality brandy is given by : Q = √KL Where q is the output of brandy per week and L is labor hours per week ., in the short run K is fixed at 100, so the short run production function is Q = 10√L a. Ifthecapitalrentsfor10$andthewageare5$perhour.,writetheshortruntotalcost function. b. How much will the firm produce at a price of 20$ per bottles of brandy ? c. Howmanylaborhourswillbehiredperweek?
- Silvio's Pizza is a small pizzeria. The firm's production function is shown in the table above. Suppose that Silvio's costs include only the cost of renting ovens, which is $100 per oven per week, the labor cost, $280 per worker per week, and the opportunity cost of Silvio's entrepreneurship, $1,000 per week. Suppose Silvio's uses Plant 2. What is the marginal cost of producing the 200th pizza? A. $7.00 B. $10.55 C. $4.40 D. $5.09You pay for school tuition, and for each class you attend. Suppose that you stopped attending class after the first semester, but still pay school tuition. Which of the following is this an example of? Sunk cost Equimarginal principle O Positive net gain O Marginal product of labor QUESTION 4 Evaluate the following statement: "A firm producing at the point where marginal benefit is not equal to the derivative of total cost is adhering to the equimarginal principle" False TrueDescribe where the law of diminishing marginal productivity begins for We R' Write. We R' Write currently uses 75 workers on the production line per day. Given the calculations in the table, is this number optimal? Why, or why not? If you could make a suggestion regarding the optimal number of workers We R' Write should use on the production line, what would it be? Why? Number of Workers per Day Pens Produced per Day Average Product Marginal Product Price per Pen Total Value Product Average Value Product Marginal Value Product Price of Worker per Day 0 0 --- --- $3.50 $0.00 --- --- $560 15 1,000 66.67 67 $3.50 $52.50 $233.33 $233.33 $560 30 2,700 90.00 113 $3.50 $105.00 $315.00 $396.67 $560 45 5,100 113.33 160 $3.50 $157.50 $396.67 $560.00 $560 60 7,900 131.67 187 $3.50 $210.00 $460.83 $653.33 $560 75 12,000 160.00 273 $3.50 $262.50 $560.00…
- For a firm to maximize profit, it must minimize the cost of producing whatever quantity it produces. Use the isocost and isoquant tools to present a firm that is choosing the optimal levels of labor and capital (i.e., tools) to produce a certain quantity and a certain cost. Then, show in your diagram how this firm would respond if it were to expand and spend more on its inputs, assuming it is best for the firm to become more “capital intensive” as it grows. Comment on WHY a firm might best become more capital intensive as it expands, even when the relative prices of labor and capital remain unchanged.Answer the given question with a proper explanation and step-by-step solution. Ned’s Tuna has the following production function: q = K3/4L1/4, Where q is the number of tunas per hour, L is the number of workers and K is the number of boats. Suppose that w = $20/hour (PL) and r = $30/hour (PK). a. Find Ned’s marginal product of labor (MPL). Does it exhibit diminishing marginal returns? b. Find Ned’s marginal product of capital (MPK). Does it exhibit diminishing marginal returns? c. Find and draw an isocost function for CThe following table shows the capital and labor requirements for 10 different levels of production. Assuming that the price of labor (P, ) is $5 per unit and the price of capital (PK) is $9 per unit, compute and graph total cost, marginal cost, and average cost for the firm. To do this, fill in the total cost for each output level in the table below. (Enter your responses as whole numbers.) K TC 1 20 3 20 7 3 20 10 4 20 13 20 17 6. 20 23 7 20 31 3 4 5 6 i & Units of output 0 1 7 10 11 12 8. 20 41 20 53 10 20 67 LO Cost per unit ($)