The folllowing table shows data for a simple production function. Capital (K) Labor (L) TP or Q AP MP 10 0 10 1 10 10 10 10 10 23456 682 14 20 14 Average Product, AP, is at maximum when Total Product, TP, is equal to O 40 units of output. 54 units of output. 64 units of output. none of the above.
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- What is a production function?The amount of fish caught per week an a trawler is a function of the crew size assigned to operate the boat. Based on past data, consider the following production function identifying the relationship between output and labor input. You may assume that capital is fixed at 10 units.Labour Input (No of. Workers) (L) Total Product TPL (Q). From the table below :-(a) Calculate APL and MPL. (b) Graph APL and MPL. Do they have the expected shape? (c) On your graph, identify the three stages of production Labour input (No of Workers) (L) Total Product TP L (Q) 0 0 1 80 2 170 3 300 4 450 5 540 6 620 7 700 8 770 9 830 10 880 11 920 12 950 13 970 14 980 15 985 16 988 17 988The table below shows the total production of a firm as the quantity of labor employed increases. The quantities of all other resources employed are constant. Compute the marginal and average products and enter them in the table. (a) At what levels are there increasing returns to labor and at what levels are there decreasing returns to labor? (b) Describe the relationship between the total product and marginal product. (c) Describe the relationship between marginal and average product. B) For the following three cases, use a midpoints formula to calculate the coefficient for the cross elasticity of demand and identify the type of relationship between the two products. (a) The quantity demanded for product A increases from 30 to 40 as the price of product B increases from $0.10 to $0.20. Elasticity: ______ Relationship: ________________ (b) The quantity demanded for product A decreases from 3000 to 1500 as the price of good B increases from $5 to…
- The accompanying table shows the total daily output for a firm producing specialty cakes and operating with a fixed amount of capital. The cost of labour is $200 per unit per day and the fixed cost of the capital is $1500 per day. Click the icon to view the table. 24 28 8 12 16 20 Complete the last four columns of the table. Units of Labour Total Output (per day) (per day) 4 200 24 2450 28 2510 500 1200 1950 2330 2450 $ 1500 2510 $ 4800 $ 1500 $ 5600 TFC TVC $6300 $ 7100 TC MC $ 2.67 $ 1.14 $ 1.07 $ 2.11 $6.67 $ 13.33 AFC $7.5 $3 $ 1.25 $ 0.77 $ 0.64 $ 0.61 AVC $4 $3.2 $2 $ 1.64 $ 1.72 $ 1.96 ATC $ 11.5 $6.2 $ 3.25 $ 2.41 $ 2.36 $ 2.57 $ 2.23 $0.6 (Round your responses to the nearest cent.) b. Assuming that labour is only hired in increments of 4 units, what is this firm's capacity level of output? per day $ 2.83When the quantity of a variable input is increased from 3 units to 4 units the total output increases from 70 units to 85 units the marginal product of the variable input is 15 units? True/FalseName Time Started Time Finished Variable input (Labor) 0 10 20 1. Define the following terms: production function, average product, marginal product, law of diminishing marginal returns, constant returns to scale, increasing returns to scale and decreasing returns to scale. 2. Complete the table below: 30 40 50 60 THEORY OF PRODUCTION Activity No. 6 70 80 90 100 110 120 130 140 Total Product 0 250 600 1200 1900 2700 3600 4400 5000 5425 5700 5825 5900 Course & Year Date Performed 5925 5875 Average Product Marginal Product With the values in the above table, plot Total Product (TP), Average Product (AP) and Marginal Product (MP) in a single graph with units of product at the vertical axis and labor units at the horizontal axis. You can also use two (2)graphs (TP above AP and MP curves) Label your graphs properly. Use graphing paper for your curves if you do not have computer/laptop access but insert graph is recommended. 3. Describe the shapes of the curves drawn. What relationship can…
- From your knowledge of the relationships among the various production functions, complete the following table: Variable Input L Total Product Q Average Product AP₁ Marginal Product MPL 0 0 1 2 3 4 5 6 7 30 二二二二 120 20.00 24.00 15 || 45 -15Suppose a firm uses capital K and labor L to produce output Q with the following production function: 1 Q=4KL + = 1² 3 (a) Find the marginal product of capital and the marginal product of labor. (b) Find the average production of capital and the average production of labor. (c) Does this production function have increasing, constant, or decreasing returns to scale? Explain. (d) Find the marginal rate of technical substitution (RTS). (e) Use your result in (d) to find the elasticity of substitution. (f) Find the contingent demand functions for capital and labor if w is the price of labor input and v is the price of capital input.(a) What is the difference between average product of labor and marginal product of labor? (b) Explain the relationship between average and marginal product of an input by discussing their respective curves (no need to provide any graphs).
- M2I can't do this question. Please help. thank you!Firm ABC has estimated that it has the following production function: Q = 1.5LK – 0.3L2 – 0.15K2 Labor (L) has a price of €60 and capital (K) has a price of €75. ABC wants to maximize the production with a total cost of €2025. (a) Determine the quantities of labor and capital the firm should use. (round results to 2 decimal places) (b) What quantity of output will be produced at the optimal combination of factors of production?