The graph presented shows the initial output level, identify the expansion path? In a fixed proportion production function, boxes of cereals are produced. One box (B) and 11 ounces of cereal (C) produce one box of cereal. Boxes 10 94 8- 7- 3- 2- 1- 0 11 22 B=C B+C = q B = 0.091C B = 11C 9=5 9-4 q=3 q=2 9=1 33 44 55 66 77 88 99 110 Cereal, ounces
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- Q1 a) Given a production function depicting the response of paddy rice tofertilizer application,Y = 3X+ 9X2 - X3(i) Calculate the exact MPP and APP.(ii) At what level of fertilizer input(X) does MPP, APP and TPP reachtheir maximum values?(iii) At what level of fertilizer input will r = 0? And what is the valueof TPP at that level?(iv) If the farmer increases the amount of fertilizer in his riceproduction in his area of diminishing returns, explain whether ornot total production will increase or decrease.b) Explain the economic significance of farm records.Q2 a) What are the major objectives of agricultural marketing?b) Explain how one can evaluate the efficiency of a marketing situation.1) In connection with the Law of the Minimum and the Law of Diminishing Returns, describe how the production function model can be a helpful tool in managing an agricultural production system.A firm has the following production function: Q = 9L2/3K1/3 Where Q is output, L is labor and K is Capital. Where Q is output, L is labor and K is Capital. (a) What sort of returns to scale characterize this production function? (b) Derive the marginal product of labor and capital. (c) What do we mean when we say the production function is linearly homogenous?
- oboard S Font Paragraph S Sensitivity Styles Editing Voice A Cobb-Douglas production function for new company is given by FF(KK, LL) = KK3/5LL2/5 where K represents the units of capital and L represents the units of labor. Suppose units of labor and capital cost $200 and $100 each respectively. If the budget constraint is $30,000, find the maximum production level for this company. VAAAWMMAA AAAAAAAAA SAAAAAAAQuestion B1 A firm produces a good, q according to the production function q = 2K0:2 L°0.8. The cost of a unit of labor is £5 and the cost of a unit of capital is £40. The firm is currently producing 160 units of output and has determined that the cost- minimizing quantities of labor and capital are 160 and 5 respectively. a. Graphically illustrate this situation on a graph using isoquants and isocost lines. Explain intuitively why there is such a difference between the capital input and labour input. b. The firm now wants to double output to 320 units. If capital is fixed in the short run, how much labor will the firm require? Illustrate this point on your graph and find the new cost associated with this level of labour and capital. c. Graphically illustrate how the cost-minimizing level of capital and labor will differ from your answers in a. d. If the marginal rate of technical substitution is 4K/L , find the optimal level of capital and labor required to produce the 320 units of…Oregon Fiber Board makes roof liners for the automotiveindustry. The manufacturing manager is concerned aboutproduct quality. She suspects that one particular failure, tears in the fabric, is related to production-run size. An assistantgathers the following data from production records: a. Draw a scatter diagram for these data.b. Does there appear to be a relationship between run sizeand percent failures? What implications does this datahave for Oregon Fiber Board’s business?
- Exercise A.5 A company operates with production function q-K¹/2 [1/2 a) What type of returns to scale does this production function present? As production varies, how would you expect long-term average costs to evolve? b) Assume that the firm's capital equipment is fixed and equal to K = 100 units. Find the firm's short-run production function and the marginal productivity of labour and graph these functions. As production varies, how would you expect marginal costs to evolve in the short term? c) If the prices of capital and labour are r = 8€ and w = 2€ respectively, obtain the expression of the short-run total cost function of the firm. b) Obtain the expressions of the functions of short-term average total costs, average variable costs and marginal costs of this company. Find the production level for which the average total cost is minimized and the corresponding average total cost level. d) Indicate the value of the average total cost, the average variable cost and the marginal cost…Emco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule: Crew Size Total Output No. of Workers) (No. of Units) 1 10 2 35 3 50 4 56 5 59 6. 60 7 60 8 58 Determine the following schedules: |(a) Marginal productivity of labor (b)Average productivity of labor (c) Elasticity of production with respect to labor (d) Draw and Show relationship MP, & APQ(K, L) = 4K²L2 Type your answers in all of the blanks and submit The production function of good x is as follow: a. What is the marginal production of capital with 16 labor and 4 capital? Type your answer her b. Calculate the slope of the isoquant when the entrepreneur is producing efficiently with 10 labors and 400 units of capital. Slope = Type your answer her (absolute value.) c. If we increase the amount of labor we use in our production process from 10 to 1000 units, how much change in capital is needed for us to stay on the same isoquant? Change in K= Type your answer here (Actual value, negative if decrease and positive if increase) d. Is diminishing return a characteristic of this production function? For labor? (yes/no) Type your answer her ;For Capital (yes/no)? Type your answer here
- Prof. Smith and Prof. Jones are going to produce a new textbook. The production function for the book is: ?=?1/2?1/2?= is the number of pages in the finished book?= is the number of working hours spent by Smith?= is the number of working hours spent by JonesSmith's labor is valued at 3 TL per working hour and Jones's labor is valued at 12 TL per working hour. After having spent 900 hours preparing the first draft, Smith cannot contribute any more to the book. Jones will revise the Smith's draft to complete the book.a) How many hours will Jones have to spend to produce a finished book of 300 pages?b) What is the marginal cost of the 300th page of the finished book?A farmer has 8 hectares of agricultural land. The farmer will plant the land with rice and corn. 3 tons of rice can be harvested from 1 hectare of rice field, while 4 tons of corn can be harvested from 1 hectare of corn field. This farmer wants to get a yield of no less than 30 tonnes. If the cost of planting 1 hectare of rice field is 500 thousand and the cost of planting 1 hectare of corn field is 600 thousand. Then what is the minimum cost that must be incurred by the farmer?What is a production function?