After the end of an advertising campaign, the sales of a product is given byS=900,000e 0.2twhere 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).dSdt=(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 givenfunction is always ---Select---Pollution levels in a lake have been modeled by the equationx = 0.05 +0.18e-0.38twhere x is the volume of pollutants (in cubic kilometers) and t is the time (in years). What is the rate ofchange 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 totalpublic expenditures for health care H can be modeled byH = 1,500 0.053twhere t is the number of years past 2000 and H is in billions of dollars. If this model is accurate, at whatrate (in billions of dollars per year) will health care expenditures change in 2021? (Round your answer toone decimal place.)$billion/year

Answered: After the end of an advertising…

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

The sales function for a product is given by S(x)=119+40.5x2−0.5x3 where x represents thousands of dollars spent on advertising, 0≤x≤54 and S is in thousands of dollars.x Find the point of diminishing returns. Enter the amount spent on advertising as well as the sales in dollars. Amount Spent on Advertising:$ ____ total Sales: $___
Given the function f(x) = ln (x+1), x>0 In applying mathematical methods to economics/business problems, we use a broad menu of functions for the purpose of accurately specifying the properties of the economic variables in question. Find an example that you can use the above function to describe certain economic or business activity.
Find an equation in point-slope y -y, = m(x-x,) for the line through the given points. (- 3, – 3) and (2,7) What is the equation of the line in point-slope form? (Use integers or simplified fractions for any numbers in the equation.)
For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Relationship options: positive, negative Line options: A, B, C, D True or False: Line D has a slope of infinity.
The Montag Family purchased a house in 2020 and expects its value (in thousands of dollars) t years in the future will be well-modeled by the function V(t)=310(1.08). By what percentage does the model predict the house will increase in value each year?
f(x1,x2) 4 2 0 -2 -4 −1 2 0 1 1 0 2 -1 X1 3-2 x2 Figure 2: Graph of the function f(x1, x2) = 2x1 = x²-x+3 Consider the following function: f(x1, x2) = 2x1 - x-x+3. - For your visual convenience, a portion of the function is depicted in Figure 2. (a) Compute the gradient vector of f. (b) Compute the Hessian matrix of f. (c) Determine all points that yield stationary values of f. (d) Use the second-order conditions to determine whether each of the stationary val- ues of f is a maximum, a minimum, or neither.
Use a software of your own choice to calculate the daily log prices (lp) and daily log returns (Ir) i. Examine the descriptive statistics of both lp and Ir. What do you conclude about the distributions of lp and Ir? Is lp normally distributed? Is Ir normally distributed? Obtain the correlograms, and examine the autocorrelations and partial autocorrelations for both lp and Ir. What do you conclude about the behaviour of lp and Ir? Are they stationary/non-stationary? ii. iii. Are your conclusions about stationary/non-stationary of lp and lr confirmed by appropriate unit root tests?
The world's population living in extreme poverty has declined linearly between the years 2005 and 2011. In 2005, the percentage of the world's population living in extreme poverty was 20.70% and in 2011, the percentage of the world's population living in extreme poverty was 13.70%. Determine a linear equation that models the world's population in extreme poverty, in percentage, as a function of years since 2005. What is the slope of this function, and what does it tell you in practical terms? Round your answer to the nearest hundredth (0.01). Om = -7.00. The world's population in extreme poverty decreased by 7 percent per year between the years 2005 and 2011. Om = 7.00. The world's population in extreme poverty increased by 7 percent per year between the years 2005 and 2011. Om = 1.17. The world's population in extreme poverty increased by 1.17 percent per year between the years 2005 and 2011. Om = -1.17. The world's population in extreme poverty decreased by 1.17 percent per year…
Consider the linear spline function f(x) = 1 + x + h1(x, 2) where h1(x,2) = x-2 if x>2 and 0 otherwise. What is the slope of f at the point x=-1?
solve within 30 mins.
2. Give an example of the time inconsistency problem applied to the relationship of a married couple.
In a certain store, cashiers can serve 45 customers per hour on average. If a customers arrive at the store in a given hour, then the average number of customers C waiting in line can be modeled by the function x² C(x) = 2025 - 45x where x < 45. Answer the following questions with a graphing calculator. Round your answers to integers. 1) If 40 customers arrived in the store in the past hour, there are approximately 7 2) If there are 2 customers waiting in line, approximately customers waiting in line. customers arrived in the past hour.

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