Differentiate the function.g(x) = (x⁹ - 8x)-2g'(x) =Differentiate the function.5f'(s)=f(s)=(2s7 + 1)4Differentiate the function.1g(x)=(2x+5x+1) 3/4g'(x) =Differentiate the function.dyy = √√√3x² + 6x + 2dx

Answered: Image /qna-images/answer/cc1526a1-3971-4226-83a4-3feae10d2e6a.jpg

Answered: Differentiate the function. g(x) = (x⁹…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

2) Consider the following maximization problem: max U(x1, x2) = Vx1 + x2 subject to x, + 2x, < I. x120, x,20 Form the Lagrangian function and state the Kuhn-Tucker conditions. | Find the solution to the optimization problem using the Kuhn-Tucker conditions. b)
Exercise 3. Your software company recently instituted a highly regarded training program for newly hired software developers. The benefits of this program include not only the benefits to employees, but also the goodwill generated by an increase in your reputation among customers and professional groups. The costs of this training program include all of the labor, space, and consultants necessary. Suppose these benefits and costs are given by B(Q) = 100Q2Q² and C(Q) = 100, where Q represents the amount of hours each software developer should spend in training. (Note that MB = 100 – 4Q, MC = 10, and also that time can be measured in fractions of one hour.) a. What level of Q maximizes the total benefits of your newly introduced training pro- gram? b. What level of Q minimizes the total costs of the program? c. What level of Q maximizes the net benefits? d. What level of training is optimal? Why?
A company produces commercials. A 2-minute commercial, for example, needs exactly 5 minutes of filming and 8 minutes of editing. Let x1 denote the minutes of filming and x2 denote the minutes of editing. a) Write down the production function and state whether it has increasing, constant, or decreasing returns to scale b) Suppose that filming costs $45 per minute and editing costs $10 per minute. To produce a 5-minute commercial, how many minutes of filming and how many minutes of editing is needed to minimize cost? c) Suppose that filming costs w1 per minute and editing costs w2 per minute. Let y denote the length (in minutes) of commericals produced. derive the conditional factor demand functions x1(w1,w2,y) and x2(w1,w2,y) and its cost function c(w1,w2,y)
Maximize the following equation: w (x, y) = -3x² + 30x – 6y² + 48y Subject to x + y = 5 O x=2.33; y=2.67 O x=3.33; y=2.67 O x=2.33; y=3.67 O x=12.33; y=12.67
a) Given that a firm has a production technology, y= (X² + X²)², derive the MRTS12
Spark Studio produces commercials for other companis. A 2-minute commercial, for example, needs exactly 5 minutes of filming and 8 minutes of editing. Let x1 denote the minutes of filming and x2 denote the minutes of editing. a) Suppose that filming costs $45 per minute and editing costs $10 per minute. To produce a 5-miunte commercial, how many minutes of filming and how many minutes of editing Does Spark studio need to minimize cost? How much is this cost? Draw a graph of the isoquant and isocost line to show this optimal bundle. b) Rocket Media, another commercial production company, uses a different technology. The length of commercials it produces is equal to the longer of the two: one-third of the length of filming and one-fourth of the length of editing. When w1 = 15 and w2 = 10, derive Rocket Media's cost function c(y).
T = - Q² + 17Q – 60 Find Q that maximizes the function:
Given the production function per hour Q(x, y) = 2x² - 4y² + 40x + 40y, where x is a worker receiving $1 per hour and y is a worker receiving $2 per hour. The budget constraint is $410. What is the value of ? (given that your bordered hessian (or variable vector) is in the order of X, x and y, respectively)
.(a) A firm has production function q(k,l) = k'/³1²/3, where k denotes the capital used and I denotes the labour employed. Suppose that each unit of capital costs v dollars and each unit of labour costs w dollars, so that the capital and labour costs are vk + wl. Use the Lagrange multiplier method to determine the values of k and I that minimise the cost of producing Q units of the firm's good. Find the corresponding minimised value, C, of this cost and the value, X*, of the Lagrange multiplier corresponding to the optimising values of k and l. Show that d* =
Consider the following function: f(x,y,w) =(x2/y) + (2w2/x). Is this homogeneous? If so, to what degree? Please show the steps to solving this.
A T-shirt screener can screen t-shirts (q) in two different ways. He can either use a fast screening machine (F) or a slow screening machine (S). Screen use is defined in terms of ”hours” running. His production function is f(F, S) = 10F + 6S. (a) The screener wants to be able to produce 120 shirts. List three feasible and efficient production plans (combinations of inputs) for doing this. (b) Graph the screener’s isoquant curve for q = 120. (c) The hourly cost of using the fast machine is $800 and the hourly cost of the slow machine is $200. What is the cost minimizing (optimal) combination of inputs for producing 120 shirts? (d) Suppose the screener must now produce 400 shirts. What is the cost minimizing combination of inputs?
5. An entrepreneur has costs for storing and shipping materials for his manufacturing process given by the function C (k) = 100 (100 + 9k + 144 / k) when 1 ≤ k ≤ 100, where C (k) is the cost total storage and transportation for 100 days of operation. If a load of k tons of material moves every k days, for what values of k does C (k) have a minimum value?

SEE MORE QUESTIONS

Recommended textbooks for you

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Managerial Economics: A Problem Solving Approach

Economics

ISBN:

9781337106665

Author:

Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:

Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…

Economics

ISBN:

9781259290619

Author:

Michael Baye, Jeff Prince

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

Differentiate the function. g(x) = (x⁹ - 8x)-2 g'(x) = Differentiate the function. 5 f'(s) = f(s) = (2s7 + 1)4 Differentiate the function. 1 g(x) = (2x+5x+1) 3/4 g'(x) = Differentiate the function. dy y = √√√3x² + 6x + 2 dx