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
Find the partial derivative of the following with respect to l : y = Ak0.4,0.6
○ 0.6AK 0.41-0.4
0.6A수
0 0.6A
○ 0.6A(수)-0.4
k
Obtain the second derivative of the function: y = 2 – 5x4 + 3/2x2
Find the derivative and simplify.
y = (8x+7)(x² - 3x).
y' =
Find the derivative and simplify.
f'(x) =
f(x) = (x12 + 2x4 + 3)(5x³ - 1)
For the function y = (x² + 4)(x³ − 9x), at (-3, 0) find the following.
(a) the slope of the tangent line
(b) the instantaneous rate of change of the function
Chapter B Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
Knowledge Booster
Similar questions
- DERIVATIVE In the following the symbol for the first derivative is dy/dx or Y’ and the symbol for the second derivative is d2y/dx2 or Y”, all of which are standard symbols. Y = X3 -2X2 +1 X -.333 0 .333 .667 1 1.333 1.667 Y dy/dx d2y/dx2 A function is given above. The table gives several pre-selected values of the independent variable (X). Use all of these to have enough to answer questions for this assignment. Calculate the Y value corresponding to each X value in the table. Write the Y value and its sign (+ or -) calculated in the cell below its X value. Pick any three of the X values and on a separate worksheet, show how you calculated its Y value. Use these X,Y pairs also if you chose to do the bonus option. Find the critical values among the given X values…arrow_forwardAfter the end of an advertising campaign, the sales of a product is given by S=900,000e 0.2t where S is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) Find the rate of change of S (that is, the rate of sales decay). dS dt = (b) From looking at the function and its derivative, explain how you know sales are decreasing. The given function is an exponential ---Select--- ✓ model. Additionally, the derivative of the given function is always ---Select--- Pollution levels in a lake have been modeled by the equation x = 0.05 +0.18e-0.38t where x is the volume of pollutants (in cubic kilometers) and t is the time (in years). What is the rate of change of x with respect to time? x'(t) = With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care H can be modeled by H = 1,500 0.053t where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate,…arrow_forwardDerive the MU function from the following TU function: ?? = 200? − 25?2 + ?3arrow_forward
- Graph the function C=50+0.8Y and give economic interpretations of the elements of the equation.arrow_forwardFind the partial derivatives of the following function: (7xz4-5x²z3+3x5)4 (3xz5-2x4+8z3)5 y=f(x,z) = (3xz5– 2xª + 8z354(7xzª – 5x²,3+ 3x5^(7z4– 10xz³+15x4 – (7xzª- 5x²,3+3x545(3xz5_- 2xª+ 8z35{3z 5-8x3 [(3xz- 2x4+ 8z 35,2 fx = - 2x+ 8z I. (3xz5- 2x+ 8z 354(7xzª – 5x²z3+ 3x5³(28xz3 – 15xz3- (7xz4- 5x²23+ 3x 3x545(3xz5- 2xª+ 8z3^(15xzª+16z) 2.3 [(3x25- 2x4+ 8z 35,² (3xz5 – 2x4+ 8z 35(7xz4 – 5x²23+ 3x5³(7z4– 10xz3+15x4– (7xz^- 5x²z3+3x 9(3xz5-2xª+8z3^(3z5-8x3 [(3x2 5- 2x4+ 8z351² O I. (3xz fz '- 2x*+ 8z 3(7xz4_ 4 - 5x2z3+ 3x3(28xz 3-15x223- (7xz4- 5x?z3+ 3x54(3xz5- 2x4+ 8z34(15xz4+16z) [(3x2 5- 2x4+ 82 35j² -2x*+ 8z354(7xzª – 5x²,3+ 3x5³(7zª – 1Oxz3 +15x4 - (7xz^– 5x²½³+ 3x545(3xz5– 2xª+ 8z 34(325- 8x³ + 8z° [(3x25- 2x4+ 8z 35,2 (3xz5- 2x4+ 8z 354(7xz4– 5x²z3+ 3x5%½28xz3-15x?z2+ 3x) - (7xz4- 5xz³+ 3x45(3xz5- 2x+8z34(15xz4 - 2x+16z) (3xz 5- 2x4+ 82 35j² 2.3 - 10xz+15x - 2x+ 8z fx = II. 2_3 fz %3D fx =- (3xz5– 2x* + &z 3}54(7xz* – 5x²z ³ + 3x5³(7z* - 10xz³+15x*) – (7xz*- 5x²z³+ 3x5*5(3xz5–…arrow_forwardThe first order, and the second order, partial derivatives of the following function are, respectively z = r°y² + 15ye* Select one: = 2r*y O a. 2x3 + 15e" and Ob. 3x + 15e* and 2x * = 2y + 15e" and = 2x Oc. Od. = 2x®y+ 15e* and * = 3.x?y+ 15e" and 6ry e. Clear my choicearrow_forward
- The equation, d(t) = 350 t + 6560 represents the tuition, d dollars, at a college for the year that is t years since 2013. Find an inverse function for this model. ++350 6560 t-6560 350 t-6560 300 t-350 6560 S (oarrow_forwardConsider the two period consumption savings problem faced by an individual whose utility is defined on period consumption. This utility function u(c) has the properties that it is strictly increasing and concave, u'(c) > 0, u"(c) < 0 (where u'(c) denotes the first derivative while u"(c) represents the second derivative) and satisfies the Inada condition lim.-→0 u'(c) approaches zero). The individual's lifetime utility is give by u(cı) + Bu(c2). In the first period of life, the individual has y1 units of income that can be either consumed or saved. In order to save, the individual must purchase bonds at a price of q units of the consumption good per bond. Each of these bonds returns a single unit of the consumption good in period 2. Total savings through bond purchases is s1 so that total expenditures on purchasing bonds is qs1. Let c1 denote the amount of consumption in period 1 chosen by the individual. In the second period of life, consumption in the amount c2 is financed out of the…arrow_forwardA reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 34 feet. If the distance across the top of the mirror is 70 inches how deep is the mirror in the center? A) 1225/19584 in. B) 289/35 in. C) 1225/1632 in. D) 1225/136 in. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = t^3 + 1, y = t^3 - 15; -2 lessthanorequalto t lessthanorequalto 2 A) y = x - 16; -7 lessthanorequalto x lessthanorequalto 9 B. y = -x^2; -4 lessthanorequalto x lessthanorequalto 4 C) y = -x - 16; -7 lessthanorequalto x lessthanorequalto 9 D) y = x^3; -3 lessthanorequalto x lessthanorequalto 1 Solve the problem. Round to the nearest if needed. To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 9% per year compounded annually, find the value of the IRA after 40 years. A) $60, 819 B) $24, 330, 719 C) $675, 765 D) $618, 133…arrow_forward
- Find the partial derivative of the following with respect to A/ k:k+2/³arrow_forwardHello. May I ask how did you get the values? Were those only assumed values? Can you also explain how did you make the normal form thoroughly?arrow_forwardConsider the Lagrangian function L=qq, *+2(Y-p,9,- P292) . Which of the following expressions is NOT a first-order condiction of this function: OA (1-a)a;aª-àp2 = 0 O B. aq'a¯ -ap, = 0 OC. (Y-P191 -P292)=0 OD. (1-a)a,a-p2 = 0 Reactic tv MacBook Air 80 DII DD F1 F2 F3 F5 F7 FR F9 F10 F11 ! #3 $ & 1 2 7 8. 9. Q W Y U { H J C V tion command command option V * 00 N Alarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
