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- Please let me know seftuon A) if the input price would rise or fallConsider the following production function: q = 9LK + 6L² – Assuming capital is measured on the vertical axis and labor is measured on the horizontal axis, determine the value of the marginal rate of technical substitution when K= 30 and L= 10. MRTS = -. (Enter a numeric response using a real number rounded to two decimal places.) 20 tv MacBook Air F6 FB 10 F3 23 2$ & з 4 6 7 8 { [ E Y U P D F G J K > C V N M command option - .. .- BConsider the following production function: q = 32LK + 10L2 - Assume capital is fixed at K= 25. At what level of employment does the marginal product of labor equal zero? The marginal product of labor equals zero when (Enter a numeric response using an integer.) Beyond a labor input of 40, the marginal product of labor is 20 étv MacBook Air DI DD F3 F5 F6 F7 FB F10 FW 2# $ & 3 4 5 8 9 E R Y P D F G н J K C V B N M command V
- Derive formulae for the marginal products of the three inputs in the produc- tion function Q = 40K03L0.3R04. %D• Assume that a firm is using the cost-minimizing combination of its only 2 inputs, capital and labor. If the price of a unit of capital is $200 and the price of a unit of labor is $50, what is the MPL of the last unit of labor if the marginal product of the last unit of capital is 2,000?1) Suppose the prdduction function for widgets is given by: q= KL – 0.8K² – 0.2L?. a.) Suppose K=10, at what level of labor input does this AP1,reach a maximum and how many widgets are pIdduced at that point? At what level of labor input does MP1=0 and how many widgets are produced at that point? Graph the TP1, AP1 and MP1 curves. b.) Suppose capital inputs were increased to K=20. How would your answers to parts (a) change? c.) Does the widget production function exhibit constant, increasing, or decreasing retums to scale?
- QUESTION 2 K 6 isocost 3 L Based on the information in the graph aboive, what is the slope of the isocost line? # If the price of capital remains the same and the price of labor decreases, the isocost line will With the current mix of labor and capital, the marginal technical rate of subsitution is MRTS-3. If the prices of labor and capital remain as shown in the graph, then the firm will minimize the cost of production by +Sam Malone is considering renovating the bar stools at Cheers.The production function for new bar stools is given byq = 0.1k 0.2l0.8 where q is the number of bar stools produced during the renovation week, k represents the number of hours of bar stoollathes used during the week, and l represents the number ofworker hours employed during the period. Sam would like toprovide 10 new bar stools, and he has allocated a budget of$10,000 for the project.a. Sam reasons that because bar stool lathes and skilled barstool workers both cost the same amount ($50 per hour),he might as well hire these two inputs in equal amounts.If Sam proceeds in this way, how much of each input willhe hire and how much will the renovation project cost?b. Norm (who knows something about bar stools) arguesthat once again Sam has forgotten his microeconomics.He asserts that Sam should choose quantities of inputs sothat their marginal (not average) productivities are equal.If Sam opts for this plan instead, how much of…... Assume that the price of a car wawsh is $10 and the marginal product of labor at the car wash is given in the following table: Quantity of labor L (workers) 0 1 2 3 4 5 6 7 Quantity of car washes Q 0 6 11 15 18 20 21 21 Marginal Product of Labor (change in Q/change in L) aka car washes per worker • Fill in the values for MPL in the table • Calculate the MRPL for each quantity of labor • Draw a correctly labeled graph of the MRP curve
- se The marginal product of labor can be determined using the total product of labor Production Function curve. 3,500- se Using the equation for the production function, 3,000- 3 2 q= 8LK + 5L2 – 2,500- see the level of output when L= 5 and K= 25 is (Enter a numeric response using 2,000- a real number rounded to two decimal places). 3 1,500- When labor is 5 units and K is 25, the marginal product of labor is 1 1,000 *** When labor increases to 12 units and K is 25, the marginal product of labor is 500 - 12 10 15 Labor Input (L) 15 20 25 DEC 25 tv 20 MacBook Air DII SO F10 F11 F9 F3 F4 * %23 $ & 4 6 8 { } E Y U P D F G н J K > C V N M command option - - ... .- V Product or Output (g) B RWhat is the marginal physical productivity (MPP) of the inputs given the function Q = 18z7 + 2x1#2 + 2x3? Select one: O a. MPP = 36x1 + 2x2 MPP, = 2x1 + 4x2 ОБ. МP, — 36+ 2г2 +2 MPP, = 2x1 + 4x2 %3D %3D O. MPP, 36x1 + 2x1 %3D MPP, = 2x1 + 4x1 %3D O d. MPP MPP, = 2x2 + 4x2 36z1 + 2x1 %3D %3DExercise: If the fixed Input capital Is K* = 3 and the variable input of labor is from 0 by 2's to 20; and output Is from 0 for 0 labor, 76 for 2 laborers – from 76 Increase for every 25% of output starting for 4 laborers to 20 laborers. Find the change in labor, output, marginal product of labor and average product of labor. Show it in a table. Number of Labor (L) (1) (2) DL Change in Labor (3) (4) Total product or Output (Q) (5) (6) Average product (AP=Q/L) (8) Marginal product (MP-=DQ/DL) (9) (10)
