Compute the following. d2/dx2 (3x4 + 4x2) |x=2
> As the topic of corporate governance has been in the news more and more during the past several decade, it is useful to reflect on what boards of directors have to do in terms of their roles and responsibilities. Acting on behalf of shareholders, one of
> Jane had just been hired as the head of the payroll department at R&S Electronic Service Company, a firm comprising 75 employees. She had been hired by Eddie, the general manager, who had informed her of the need for maintaining strict confidentiality re
> Jane Adams had just completed a sales training course with her new employer, a major small appliance manufacturer. She was assigned to work as a trainee under Ann Green, one of the firm’s most productive sales reps on the East Coast. At the end of the fi
> Do you think genetically modified organisms (GMOs) raise a legitimate safety hazard? Should government agencies such as the FDA take more action to require safety testing? Do you think labeling unfairly stigmatizes GMOs and make consumers question their
> When I was in college, I worked part-time one summer at a childcare center that was in a fitness center. Most mornings, I worked from 8 A.M. until noon, but some days I was scheduled to work from 7 A.M. until 11 A.M. My roommate also worked there, and ou
> Ethan Dorsett was a retired and disabled Marine living in Missouri. He struggled for five years trying to pay back a $2,500 payday loan, which had escalated to $50,000 in interest due. Ethan’s plight began when his wife, Emily, slipped on ice and broke h
> SELECTING A NEW COMPUTER ANALYST As a manager in human resources, part of my job is to guide the process by which my company selects new employees. Recently, we selected an applicant to fill a computer analyst position. The supervising manager and a sele
> THE SAN BERNARDINO MASSACRE On December 2, 2015, a married couple used automatic weapons to attack and kill 14 people during an employee training event and holiday party at the Inland Regional Center in San Bernardino, California. One of the shooters wa
> Between 2009 and 2015, Volkswagen manufactured and marketed clean diesel automobiles that were designed to provide high performance without the polluting emissions commonly associated with diesel engines. These turbocharged direct injection (TDI) clean d
> After the Enron scandal of 2001 and the WorldCom, Tyco, and Adelphia debacles that followed a couple of years later, the business ethics industry really started to take off. Business ethics consulting and training became a booming field of expertise and
> What do Tamiflu® and Natazia® have in common? They are both goldmedal winners for their direct-to-consumer advertising (DTCA). Although their brand name recognition does not rival that of Coca-Cola, their names are familiar to consumers across the nation
> When five customers entered the Chipotle restaurant, Seattle, Washington, in July of 2015, they placed their normal orders…burritos, bowls, tacos—you name it. These customers expected to indulge in what they had come to love over the years, what Chipotle
> PART A: PURSUING SOCIAL AND ENVIRONMENTAL CHANGE When North American consumers are asked to describe the cosmetics industry, they often respond with words such as “glamour” and “beauty.” Beginning in 1976, The Body Shop International PLC (BSI) provided
> Historically, the primary criticism of Walmart, the world’s largest company, has been its impact on communities and small merchants. Anti-sprawl activists and small-town merchants, in particular, have taken issue with the company moving
> Is it an exaggeration to question the ethical implications for business of cell phone and text-messaging use? Discuss both sides of this issue.
> Sam Walton, founder, owner, and mastermind of Wal-Mart,1 now spelled Walmart and often used that way in many advertisements, passed away on April 5, 1992, leaving behind his spirit to ride herd on the colossal Walmart organization. To the consumer in the
> Analyze how the triple bottom line and the Pyramid of CSR are similar and different. Draw a schematic that shows how the two concepts relate to one another.
> Differentiate between corporate social responsibility and corporate social responsiveness. Give an example of each. How does corporate social performance relate to these terms? Where do corporate citizenship and sustainability fit in?
> In your view, what is the single strongest argument against the idea of corporate social responsibility? What is the single strongest argument for corporate social responsibility? Briefly explain.
> Explain the Pyramid of Corporate Social Responsibility. Provide several examples of each “layer” of the pyramid. Identify and discuss some of the tensions among the layers or components. In what sense do the different layers of the pyramid “overlap” with
> Does socially responsible, sustainable, or ethical investing seem to you to be a legitimate way in which the average citizen might demonstrate her or his concern for CSR? Why is it also called impact investing? Discuss.
> Explain in your own words the Iron Law of Responsibility and the social contract. Give an example of a shared understanding between you as a consumer or an employee and a firm with which you do business or for which you work.
> Give an example of each of the four levels of power discussed in this chapter. Also, give an example of each of the spheres of business power.
> Identify and explain the major factors in the social environment that create an atmosphere in which business criticism takes place and prospers. Provide examples. How are the factors related to one another? Has the revolution of rising expectations run i
> What is the one greatest strength of a pluralistic society? What is the one greatest weakness? Do these characteristics work for or against business?
> Do you think business is abusing its power with respect to invasion of privacy of consumers? Is surveillance of consumers in the marketplace a fair and justified practice? Which particular practice do you think is the most questionable?
> Using the examples you provided for question 1, identify one or more of the guides to personal decision making or ethical tests you think would have helped you resolve your dilemmas. Describe how it would have helped. Question 1: From your personal expe
> (a) In Example 5, find the total sales for January 10, and determine the rate at which sales are falling on that day. (b) Compare the rate of change of sales on January 2 ( Example 5) to the rate on January 10. What can you infer about the rate of change
> Let S(x) represent the total sales (in thousands of dollars) for the month x in the year 2005 at a certain department store. Represent each following statement by an equation involving S or S’. (a) The sales at the end of January reached $120,560 and wer
> Refer to Exercise 41. Is it profitable to produce 1300 chips per day if the cost of producing 1200 chips per day is $14,000? Exercise 41: Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips pe
> Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R’: When 1200 chips are pro
> Let P(x) be the profit from producing (and selling) x units of goods. Match each question with the proper solution. Questions A. What is the profit from producing 1000 units of goods? B. At what level of production will the marginal profit be 1000 dollar
> The revenue from producing (and selling) x units of a product is given by R(x) = 3x - .01x2 dollars. (a) Find the marginal revenue at a production level of 20. (b) Find the production levels where the revenue is $200.
> Estimate the cost of manufacturing 51 bicycles per day in Exercise 37. Exercise 37: Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. Interpret C (50) = 5000 and C’ (50) = 45.
> Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. Interpret C (50) = 5000 and C’ (50) = 45.
> If s = 7x2y√z, find: (a) d2s/dx2 (b) d2s/dy2 (c) ds/dz
> If s = Tx2 + 3xP + T2, find: (a) ds/dx (b) ds/dP (c) ds/dT
> Differentiate. y = (2x + 4)3
> If s = P2T, find (a) d2s/dP2, (b) d2s/dT2.
> If s = PT, find (a) ds/dP, (b) ds/dT.
> A supermarket finds that its average daily volume of business, V (in thousands of dollars), and the number of hours, t, that the store is open for business each day are approximately related by the formula Find dV/dt |t=10. V = 20 1 100 100+ 1², t
> A company finds that the revenue R generated by spending x dollars on advertising is given by Find dR/dx |x=1500. R = 1000 + 80x-.02x2, for 0 ≤ x ≤ 2000.
> Compute the following. d/dt (dy/dt), where υ = 2t2 + 1/t + 1
> Compute d/dt (dυ/dt) |t=2, where υ(t) = 3t3 +4/t
> Compute the following. g’(0) and g’’(0), when g(T ) = (T + 2)3
> Compute the following. f ‘(1) and f ’’(1), when f (t) = 1/2 + t
> Compute the following. d/dx (dy/dx) |x=1, where y = x3 + 2x - 11
> Compute the following. d2/dx2 (3x3 - x2 + 7x - 1) |x=2
> Differentiate. y = 4x3 - 2x2 + x + 1
> Compute the following. d/dz (z2 + 2z + 1)7 |z= -1
> Compute the following. d/dt (t2 + 1/t + 1) |t=0
> Compute the following. d/dx (2x + 7)2 |x=1
> Find the first and second derivatives. T = (1 + 2t)2 + t3
> Find the first and second derivatives. f (P) = (3P + 1)5
> Find the first and second derivatives. y = π2 + 3x2
> Find the first and second derivatives. f (r) = πr2
> Find the first and second derivatives. υ = 2t2 + 3t + 11
> Find the first and second derivatives. y = √(x + 1)
> Differentiate. f (x) = x4 + x3 + x
> Find the first and second derivatives. y = 100
> Find the first and second derivatives. y = √x
> Find the first and second derivatives. y = (x + 12)3
> Find the first and second derivatives. y = x + 1
> Find d/dP (T2 + 3P)3.
> Find d/dt (a2t2 + b2t + c2).
> Find d/dP √(s2 + 1).
> Find d/dP (3P2 – 12P + 1).
> Find the first derivatives. x = 16t2 + 45t + 10
> Find the first derivatives. y = T5 - 4T4 + 3T2 - T - 1
> Differentiate. f (x) = 12 + 1/73
> The straight line in the figure is tangent to the parabola. Find the value of b. Y = 2x² – 4x + 10 (0, b) + 6
> Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) increasing and f (x) decreasing
> Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) and f (x) decreasing
> Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) and f (x) increasing
> The straight line in the figure is tangent to the graph of f (x). Find f (4) and f ‘(4). 5 (0, 3) ม 4 y = f(x) X
> Figure 2 shows the graph of the function f (x) and its tangent line at x = 3. Find f (3), f ‘(3), and f’’ (3). Figure 2: y 5 4 3 2 1 1 2 y = f(x) 3 4 5
> Figure 1 contains the graph of f ‘(x), the derivative of f (x). Use the graph to answer the following questions about the graph of f (x). (a) For what values of x is the graph of f (x) increasing? Decreasing? (b) For what values of x is
> A travel agency offers a boat tour of several Caribbean islands for 3 days and 2 nights. For a group of 12 people, the cost per person is $800. For each additional person above the 12-person minimum, the cost per person is reduced by $20 for each person
> Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field, as shown in Fig. 7. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road
> If the demand equation for a monopolist is p = 150 - .02x and the cost function is C(x) = 10x + 300, find the value of x that maximizes the profit.
> A publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount printed at the beginning of the year ties up valuable storage space and capital. However, printing the copies in several partial runs throughout the year re
> A small orchard yields 25 bushels of fruit per tree when planted with 40 trees. Because of overcrowding, the yield per tree (for each tree in the orchard) is reduced by 12 bushel for each additional tree that is planted. How many trees should be planted
> A long rectangular sheet of metal 30 inches wide is to be made into a gutter by turning up strips vertically along the two sides (Fig. 6). How many inches should be turned up on each side to maximize the amount of water that the gutter can carry? Figure
> A closed rectangular box with a square base is to be constructed using two different types of wood. The top is made of wood costing $3 per square foot and the remainder is made of wood costing $1 per square foot. If $48 is available to spend, find the di
> An open rectangular box is to be 4 feet long and have a volume of 200 cubic feet. Find the dimensions for which the amount of material needed to construct the box is as small as possible.
> The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find the two points.
> Find the minimum value of the function g(t) = t2 - 6t + 9, 1 ≤ t ≤ 6.
> Find the maximum value of the function f (x) = 2 - 6x - x2, 0 ≤ x ≤ 5, and give the value of x where this maximum occurs.
> For what x does the function f (x) = 1/4 x2 - x + 2, 0 ≤ x ≤ 8, have its maximum value?
> Let f (x) be the number of people living within x miles of the center of New York City. (a) What does f (10 + h) - f (10) represent? (b) Explain why f ‘(10) cannot be negative.
> The water level in a reservoir varies during the year. Let h(t) be the depth (in feet) of the water at time t days, where t = 0 at the beginning of the year. Match each set of information about h(t) and its derivatives with the corresponding description
> A car is traveling on a straight road and s(t) is the distance traveled after t hours. Match each set of information about s(t) and its derivatives with the corresponding description of the car’s motion. Information A. s(t) is a constant function. B. s’(
> Let f (x) be a function whose derivative is f ‘(x) = √(5x2 + 1). Show that the graph of f (x) has an inflection point at x = 0.
> Let f (x) be a function whose derivative is f ‘(x) = 1/(1 + x2). Note that f ‘(x) is always positive. Show that the graph of f (x) has an inflection point at x = 0.
> Show that the function f (x) = (2x2 + 3) 3/2 is decreasing for x < 0 and increasing for x > 0.
> Let f (x) = (x2 + 2)3/2. Show that the graph of f (x) has a possible relative extreme point at x = 0.
> The tangent line to the curve y = 1/3 x3 - 4x2 + 18x + 22 is parallel to the line 6x - 2y = 1 at two points on the curve. Find the two points.
> Sketch the following curves. y = 1/2x + 2x + 1 (x > 0)
> Sketch the following curves. y = x/5 + 20/x + 3 (x > 0)
> Sketch the following curves. y = x4 - 4x3
