Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN: 9781305506381
Author: James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter B, Problem 7E
a.
To determine
To evaluate the partial derivatives of all the variables in the function:
b.
To determine
To evaluate thepartial derivativesof all the variables in the function
c.
To determine
To evaluate thepartial derivativesof all the variables in the function
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Take the derivatives of the following functions. Do NOT simplify.
f(x) = 20x^3
f(x) = 15x + 20x^2

Find the first, second, and cross partial derivatives for the following function:z=f ( x , y )=12 x4−6 x2y+4 xy3
A curve is defined implicitly by the equation 2y = 1 + xy^3.(a) Check that (1, 1) is a point on the curve.(b) Find the value of y′ at this point, using partial derivatives.(c) Find the equation of the tangent line to the curve at this point.
Chapter B Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
Knowledge Booster
Similar questions
- Is this right or wrong (The question is the screenshot) (A) We want to minimize the cost function C(x, y) = 9x + 12y subject to the constraint U(x, y) =x (y + 3) = 128.9 and non-negativity constraints × ≥ 0 and y ≥ 0 We set up the Lagrangian: L(x, y, λ) = C(x, y) - λ(U(x, y) - 128.9) Now, we calculate the partial derivatives with respect to x, y, and 1: ∂L/∂x = 9 - λ(y + 3) ∂L/∂y = 12 - λX ∂L/λ = 128.9 - U(x, y) Setting these partial derivatives equal to zero, we have: 9 - λ(y + 3) = 0 2 12 - λx = 0 128.9 - x(y + 3) = 0 From equation 2, we get λ= 12/x. Substituting A into equations 1 and 3: 9 - (12/x)(y + 3) = 0 2. 128.9 - xY - 3x = 0 Now, we can solve this system of equations simultaneously. Let's start by solving equation 2 for X: 128.9 - xy - 3x = 0 xy = 128.9 - 3x Now, substitute this into equation 1: 9 - (12/x)(y + 3) = 0 9-(12/x)(128.9 - 3x + 3) = 0 9- (12/x)(131.9 -3x) = 0 9 -1,582.8/x + 36x = 0 Multiply through by x to get rid of the fraction: 9x - 1.582.8 ÷…arrow_forwardJane, who works for the economic research department in a multinational corporation, is preparing a report for the advisory board of the company. The report intends to clarify in which country they should invest given the expected change in demand. The objective is, of course, to identify the country with greater change in demand. Jane analyzes countries A and B that currently have the same demand. She calculates the partial derivatives of demand with respect to income and finds that for country A it is greater than for country B. Demand in country A is measured in pounds and in country B in Kg. Can we conclude that if the only change expected in both countries is a change in income of 3.5%, then the company should invest in country A? no, we should calculate instead the income elasticity for the consumption of the good the company sells in each country. There is no statistic that can illuminate the advisory board on this problem. yes, because the derivative tells us that for each…arrow_forwardSuppose your utility function for money is a square-root function of its value in US dollars. So, for instance, $400 is worth 20 utils for you, $961 is worth 31 utils for you, and $62.5K is worth 250 utils for you. Now, let’s say your annual salary is $90K, although there is a small risk (p = 0.05) that something catastrophic will happen and reduce your income for the year to $14.4K. An insurance company comes along and offers to insure you against the loss of your salary. The cost of the insurance is $4,736. If you buy the policy and catastrophe strikes, the insurance company will pay out the $75,600 that you would otherwise have lost. From the standpoint of maximizing expected utility, would buying this insurance be a good deal for you? What would be the insurance company’s expected monetary value of selling you the policy?arrow_forward
- find the partial derivative with respect to L and k of y = f(K, L) = A (α ln K + (1 − α) lnL))arrow_forwardCreate a numerical example using tax rate or household income to find the derivative of a function of a set of equations (more than one variable). Use partial differentiation. Explain why taking partial derivatives is important and what it means to microeconomics.arrow_forwardHow would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it anyway for purposes of this problem.)arrow_forward
- Provide an example of a real-world application in finance or economics where bounded summation is used to calculate the present value of future cash flows.arrow_forwardYou have been hired as a consultant to a new startup firm to help decide which of three options to take in order to maximize the value of the firm over the next three years. The table provided shows the annual profits for each option, and interest rates are expected to remain constant at 8% for the duration of the three years. Your task is to analyze the data and determine which option will generate the highest value for the firm. A. Discuss the difference in the profits associated with each option. Provide an example of real-world options that might generate such profit streams. B. Which option has the greatest present value? discussarrow_forwardSolve each of the following equations for x x+7=14 5x+4=24 12−4x=−20 Organize each of the following equations to express Pas a function of Q. QQ as a function of P PP as a function of Q Q=25−P Q=12−3P 6Q=14−2Parrow_forward
- XYZ corporation has budgeted P300,000 per year to pay for labor over the next five years. If thecompany expects the cost of labor to increase by P10,000 each year, what is the expected cost ofthe labor in the first year, if the interest rate is 10%arrow_forwardCalculate the net present value of a business deal that costs $2,500 today and will return $1,500 at the end of this year and $1,700 at the end of the following year. Use an interest rate of 13%.arrow_forwardwhat is the derivative of TC = 3Q^2 + 7Q +12arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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