Question

An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by the following formula, what is the rate of change of sales when t = 10? (Round your answer to two decimal places.) S(t) = 250t/(t + 4)^2 t ≥ 0

Answer #1

The sales of a product decline after the end of an advertising
campaign, with the sales decay given by
S = 200,000e−0.6x,
where S represents the weekly sales and x represents the
number of weeks since the end of the campaign.
(a)
What will be the sales for the tenth week after the end of the
campaign? (Round your answer to two decimal places.)
$
(b)
During what week after the end of the campaign will sales drop
below 400?...

The sales decay for a product is given by
S =
80,000e−0.5x,
where S is the monthly sales and x is the
number of months that have passed since the end of a promotional
campaign.
(a) What will be the sales 6 months after the end of the
campaign? (Round your answer to two decimal places.)
$
(b) How many months after the end of the campaign will sales drop
below $1,000, if no new campaign is initiated? (Round up...

1. When $x thousand is spent on advertising a product, the sales
(number of units sold) is given by S(x)= -x^3+9x^2+21x+100 for
0<=x<=10. Which of the following is not correct? Optional
Answers:
1. Sales has a global (absolute) minimum at x=0
2. Sales has a global (absolute) maximum at x=7
3. Rate of sales has a global (absolute) maximum at x=3
4. Rate of sales has a global (absolute) minimum at x=0

A city wants to know if a new advertising campaign to make
citizens aware of the dangers of driving after drinking has been
effective. The accompanying table shows the number of drivers who
have been stopped with more alcohol in their systems than the law
allows for each day of the week in the week before and the week a
month after the campaign starts. Assume that the data from each
population is Normally distributed. Complete parts a through i...

Observations are taken on sales of a certain mountain bike in 28
sporting goods stores. The regression model was Y = total
sales (thousands of dollars), X1 = display
floor space (square meters), X2 = competitors'
advertising expenditures (thousands of dollars),
X3 = advertised price (dollars per unit).
(a) Fill in the values in the table given here.
(Negative values should be indicated by a minus sign. Leave
no cells blank - be certain to enter "0" wherever required. Round...

6. Metro Department Store found that t weeks after the end of a
sales promotion the volume of sales was given by S(t) = B + Ae−kt
(0 ≤ t ≤ 4) where B = 51,000 and is equal to the average weekly
volume of sales before the promotion. The sales volumes at the end
of the first and third weeks were $82,760 and $63,390,
respectively. Assume that the sales volume is decreasing
exponentially. (a)Find the decay constant k. (Round...

Observations are taken on sales of a certain mountain bike in 21
sporting goods stores. The regression model was Y = total
sales (thousands of dollars), X1 = display
floor space (square meters), X2 = competitors'
advertising expenditures (thousands of dollars),
X3 = advertised price (dollars per unit).
(a)
Fill in the values in the table given here. (Negative
values should be indicated by a minus sign. Leave no cells blank -
be certain to enter "0" wherever required. Round...

Observations are taken on sales of a certain mountain bike in 30
sporting goods stores. The regression model was Y = total
sales (thousands of dollars), X1 = display
floor space (square meters), X2 = competitors'
advertising expenditures (thousands of dollars),
X3 = advertised price (dollars per unit).
(a) Fill in the values in the table given here.
(Negative values should be indicated by a minus sign. Leave
no cells blank - be certain to enter "0" wherever required. Round...

Company Case Allstate: Bringing Mayhem to the Auto Insurance
Advertising Wars
In the spring of 1950, the teenage daughter of Allstate
general sales manager Davis Ellis was stricken with hepatitis
shortly be- fore she was to graduate from high school. The worried
executive arrived home from work one evening just as his wife
returned from the hospital where their daughter was admitted. As he
met her at the front door, his wife reported, “The hospital said
not to worry. ....

D.
Show why a
$100 increase in government purchases of goods and services will
have a larger effect on real GDP than a $100 increase in government
transfers or a $100 decrease in taxes by completing the
accompanying table. The economy has a marginal propensity to
consume (MPC) of
0.6.
When
answers aren’t whole dollars round each answer to two (2) decimal
places (e.g., 51.6678 = 51.67) before summing in 18 – 20. All
submitted answers should also be entered...

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