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- A firm had sales revenue of 1 million last year. It spent 600,000 on labor, 150,000 on capital and 200,000 on materials. What was the firms accounting profit?What is a production function?E. A firm has the production function f(T1, 12) = 1750 , 50 What is the marginal rate of technical substitution (M RTS)? (a) MRTS =-1 2.5x, (b) MRTS = -x2/x1 (c) MRTS = -5x2/01 (d) MRTS =-0.5x2/21 (e) MRTS = -0.2x2/21 %3D %3D
- Suppose 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.Consider the input output table below Table (Inter) final Total (Agric) (Manuf) (Mining)demand (Inter) Agric 106 47 180 898 1231 Manuf 75 32 80 1167 1354 Mining 31 115 100 977 1223 PrimaryLabour 949 760 363 Capital 70 400 500 where: (Agric = Agriculture),( Manuf = Manufacturing),(Inter = !3! %3D Intermediate) A. Calculate the input coefficients and fill in the appropriate spaces in the table below. Use four (4) decimal places. Agric (Manuf) (Mining) Agric Manuf Mining Labour CapitalFill in the space (d) in the table below associated with the firm William Perry, Inc., that delivers refrigerators in the Chicago area, using the two inputs of labor and trucks. Number of Amount of Trucks Labor 2 2 2 2 2 2 2 0 1 2 3456 Total Output 0 75 (c) 380 (f) Average Product of Labor (a) (b) 100 (d) (e) 75 Marginal Product of Labor 100 50 (g) 0
- 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 SAAAAAAAexplain short run and long run cost of production analysis with graphsWhat is a production function? Response option group It is the production technology It is the relationship between inputs and the level of production It is the average product It is the marginal product
- Problem set Production Functians Given the gellowing hy pothetical data an (x) and tätal Phypical Pro duct (TPP) oy XZ Carporation. input Marginal Phuysical Product (MPP) Input x) Tatal Physical Pně duct (TPP) Average Phyoi cal Product CAPP) 14 24 8. 32 10 38 12 42 14 44 44 18 42 20 30 0243. The "Sad Student" Company finds that it costs a total of C(q) = 9720 +500q – 1.5q +0.005q Dollars to produce q lots of its latest board game named "Calculus Teacher Shooter", each lot consisting of 100 games. A) Analyze the behavior of cost function Interpret the constant term in the expression of C(q) B)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 $ 2.83