Suppose the first four units of a variable input generate corresponding total outputs of 200, 350, 450, 500. The marginal product of the third unit of input is: 50 100 150 200
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- 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?When 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/FalseBen's swim coach estimates that his time, t, in the 100-yard butterfly at a big upcoming meet as a function of the number of yards he swims per week, y, is t = 50+8e-0.00005y Based on this production function, his coach also estimates that if Ben swims 20,000 yards per week, his time will be 52.94 seconds, and he will finish tenth place. If he swims 40,000 yards per week, his time will be 51.08 seconds, and he will come in third. If he swims 60,000 yards per week, his time will be 50.40 seconds, and he will win the meet. Use calculus to determine Ben's marginal productivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MP) is (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ MPy character.)
- Draw isoquant maps for the following technologies. i) f(L;K) = LKii) g(L; K) = L + 2Kiii) h(L; K) = min(2L; K)100VKL, where q is 4. The production function for puffed rice is given by q = the number of boxes produced per hour, K is the number of puffing guns used each hour, and L is the number of workers hired each hour. (a) Calculate the q = 1,000 isoquant for this production function and show it on a graph. (b) If K = 10, how many workers are required to produce q =1,000? What is the average productivity of puffed-rice workers? (c) Suppose technical progress shifts the production function to q = 200 VKL. Answer parts (a) and (b) for this new situation.ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the above
- Calculate the multifactor productivity in dollars per dollar for the following: 6660 units produced, sold for $1.05/unit Cost of labor: $900 Cost of materials: $190 Overhead: $1950If marginal cost for 7th unit is given by the function:- 4Q2 - 3Q + 20 Calculate the marginal cost in dollarsDetermine the multifactor productivity for the combined input of the labor and the machine time using the following input : labor :3000$,material :800$, .overhead: 20o0$ . keep in mind the production is 1760 unit
- From your knowledge of the relationships among the various production functions, complete the following table: Variable Input L Total Product QQ Average Product APLAPL Marginal Product MPLMPL 0 0 1 10 2 20 3 13.33 4 30 5 16.00 6 80 7 -10A heavy equipment manufacturing company has produced its first unit using 3500 hours and $300,000 overhead cost. The next unit, i.e. the second unit took 3300 hours. Overhead cost for this unit was $200,000. Suppose the labor was $20 per hour. Being the production manager, you need to decide what would be the total production costs for additional 10 units after the completion of the second unit. Round the final amount to nearest integer. $1,597,832 C$1,003,183 (DNone of the aboveCompute the MRTS for this production function: Y (K,L) = 2K+5L