Consider 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 = O (Enter a numeric response using a real number rounded to two decimal places.)

Consider 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 = O (Enter a numeric response using a real number rounded to two decimal places.)

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter7: Production And Cost In The Firm

Section7.A: Appendix: A Closer Look At Production And Cost

Problem 1AQ

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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?
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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.
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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…
Derive formulae for the marginal products of the three inputs in the produc- tion function Q = 40K03L0.3R04. %D
of 20) - Google Chrome om/mod/quiz/attempt.php?attempt3D1472585&cmid%3D718317&page=4 ystem (Academe Labor Output (units per week) (workers per week) 20 on 2 50 70 4 85 95 100 The table above gives a firm's total product schedule. Suppose labor is the only variable factor of production. The price of labor is $500 per week and total fixed costs are $600 per week. What is the marginal cost of producing the 90th unit? Select one: O a. $50.00 Ob. $24.92 O C. $31.61 Od. $10.00 Next nage us page ype here to search
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Consider the production function Q = 10KL. Will the MRTS for this production function remain constant along the Q = 200 isoquant? Explain briefly. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). 三v A v In BIUS Paragraph Arial 10pt 田田田田 EX + x' X2
Q(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