Productivity of a Country The productivity of a country in Western Europe is given by the functionf(x, у)40x4/5y1/5when x units of labor and y units of capital are used.(a) What are the marginal productivity of labor and the marginal productivity of capital when the amounts expended on labor and capital are 1024 units and 32 units, respectively?(Round your answers to two decimal places.)laborunitsсapitalunits(b) Should the government encourage capital investment rather then increased expenditure on labor at this time in order to increase the country's productivity?YesNo

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Answered: Productivity of a Country The…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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600 550 500- 450 400- 350- 300- 250- 200- 150- 100- 50- 0- The graph of the cost function C(x) to produce x items is shown. The function is a third degree polynomial. a. At which value of x is C'(x) the smallest? b. For what other point on the curve is the slope of the tangent line the same as the slope of the tangent line at x = 11? 2 4 6 8 10 12 Number of items a. C'( ) is the smallest value of C'(x). b. C' () =C'(11)
Surface Area of a Human Body An empirical formula by E. F. Dubois relates the surface area S of a human body (in square meters) to its weight W (in kilograms) and its height H (in centimeters). The formula is used by physiologists in metabolism studies and is given below. S= 0.007184 w0.425 H0.725 (a) Find the domain of the function S. (Enter your answers using interval notation.) domain of W [0,00) domain of H (b) What is the surface area (in m2) of a human body that weighs 80 kg and has a height of 190 cm? (Round your answer to two decimal places.) |m2
9:01 45 X 3. The cost of a refrigerator is $700. On average, it costs $100 to provide the electricity for one year and the appliance will last for 15 years. a) [T-3] Determine a function that gives the annual cost of a refrigerator as a function of the number of years you own the refrigerator. Explain all of the components of the function in terms of the context. b) [T-3] Determine the total annual cost (cost each year) for a refrigerator. Make sure you include the cost of the electricity and remember, you have the refrigerator for 15 years.
Question-based on, "A wire that is 14cm long". I have tried it many times but unable to find an answer. please read it carefully.
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Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T Specific heat, Cp (°C) J kg-°C ) 42 4187 52 4194 82 4207 100 4225 110 4308 Determine the value of the specific heat at T = 61°C using a second order Lagrange polynomial. (i) (ii) Determine the value of the specific heat at T = 61°C using a third order Lagrange polynomial. Find the absolute relative approximate error . obtained between the results from the second with third order polynomial. (iii)
Price and demand If p denotes the selling price (in dollars) of a commodity and x is the corresponding demand (in number sold per day), then the relationship between p and x is sometimes given by p = Poe-a, where po and a are pos- itive constants. Express x as a function of p.
How to get answerA pedal on a bicycle has an arm length of 20 cm and rotates about an axle 32 cm above theground. If the pedal states at its lowest point and rotates at 20 revolutions every minute, find asinusoidal function that will model the height h, in centimetres, of the pedal after t seconds. Atwhat time during the first 5 seconds will the pedal be 40 cm above the ground?(ANS, t = 0.946s,2.043s,3.924s)
b) y=-4/T O Increasing function O Decreasing function Neither increasing nor decreasing function
The average daily rate of a hotel in Canada as of August 2018 was $172.85. Assume the average daily rate follows a normal distribution with a standard deviation of $26.60. Standard Normal Distribution Table a. What is the probability that the average daily rate of a Canadian hotel will be: (i) less than $175 P (X < 175) (ii) more than $210 ETT 0 SUNG SUBMIT QUESTION SAVE PROGRESS SUBMIT ENG

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