Basket stars are active at night. During the day, basket stars curl up their arms and become a compact mass. What are possible explanations for this behavior?

The net revenue for Dell, Inc. for the fiscal year ending in 2009 was $61.1 billion and its net revenue for the fiscal year ending in 2008 was$61.13 billion.

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(a) Assuming that the dollar amount of annual increase in net revenue will remain constant, find a linear equation expressing net revenue R for Dell, Inc. in terms of the time t in years.Let correspond to the fiscal year ending in 2008.

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(b) Use the equation found in part (a) to predict the net revenue for Dell, Inc. for the fiscal year ending in 2011.

Go to one or more stores that sell books and magazines. Outline the sales techniques used (point-of-purchase displays, store design, salesperson comments, and so forth). What beliefs regarding consumer behavior seem to underlie these techniques? It is often worthwhile for a male and female student to visit similar stores and talk to similar salespeople at different times. The variation in salesperson behavior is sometimes quite revealing.

Detecting Outliers in Theater Revenue. Exercise 5 gave the following data on weekly gross revenue $(\$ 1000 \mathrm{~s})$, television advertising expenditures $(\$ 1000 \mathrm{~s})$, and newspaper advertising expenditures ( $\$ 1000 \mathrm{~s})$ for Showtime Movie Theaters.

$$\begin{aligned} &\text { Weekly Gross Revenue }\\ &\begin{array}{ccc} \text{ (\$1000s) } & \begin{array}{c} \text { Television Advertising } \\ \text{ (\$1000s) } \end{array} & \begin{array}{c} \text { Newspaper Advertion } \\ \text{ (\$1000s) } \end{array} \\ 96 & 5.0 & 1.5 \\ 90 & 2.0 & 2.0 \\ 95 & 4.0 & 1.5 \\ 92 & 2.5 & 2.5 \\ 95 & 3.0 & 3.3 \\ 94 & 3.5 & 2.3 \\ 94 & 2.5 & 4.2 \\ 94 & 3.0 & 2.5 \end{array} \end{aligned}$$

a. Find an estimated regression equation relating weekly gross revenue to television advertising expenditures and newspaper advertising expenditures.

The owner of Showtime Movie Theaters, Inc., would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

$$\begin{matrix} \text{Weekly} & \text{Television} & \text{Newspaper}\\ \text{Gross Revenue} & \text{Advertising} & \text{Advertising}\\ \text{(\$1000s)} & \text{(\$1000s)} & \text{(\$1000s)}\\ \hline \text{96} & \text{5.0} & \text{1.5}\\ \text{90} & \text{2.0} & \text{2.0}\\ \text{95} & \text{4.0} & \text{1.5}\\ \text{92} & \text{2.5} & \text{2.5}\\ \text{95} & \text{3.0} & \text{3.3}\\ \text{94} & \text{3.5} & \text{2.3}\\ \text{94} & \text{2.5} & \text{4.2}\\ \text{94} & \text{3.0} & \text{2.5}\\ \end{matrix}$$

Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables.

Advertising can be a signal of quality

a. if advertising is freely available to all firms.

b. if the benefit of attracting customers is greater for firms with better products.

c. only if consumers are irrationally attracted to products they see advertised.

d. only if the content of the ads contains credible information about the products.

Go to one or more stores that sell personal computers. Outline the sales techniques used (point-of-purchase displays, store design, salesperson comments, and so forth). What beliefs regarding consumer behavior seem to underlie these techniques? It is often worthwhile for a male and female student to visit similar stores and talk to similar salespeople at different times. The variation in salesperson behavior is sometimes quite revealing.

For thousands of years, humans have tried to understand and control abnormal behavior. Check your understanding of these historical theories and match them to the treatments used to "cure" abnormal behavior: (a) bloodletting; induced vomiting; (b) patient placed in socially facilitative environments; and (c) exorcism; burning at the stake. The humoral theory reflected the belief that normal functioning of the brain required a balance of four bodily fluids or humors. ___________

A model for advertising response is given by the function

$$N(a)=1000+200 \ln a, \quad a \geq 1,$$

where $N(a)$ is the number of units sold when $a$ is the amount spent on advertising, in thousands of dollars.

a) How many units were sold after spending 1000 dollars $(a=1)$ on advertising?

b) How many units were sold after spending 5000 dollars?

c) Graph the function.

d) How much would have to be spent in order to sell 2000 units?

Dropped by one or more stores that sell expensive jewelry. Report on the sales techniques used (point of-purchase displays, store design, salesperson comments, and so forth). What beliefs about consumer behavior appear to underlie these techniques? It is often worthwhile for a male and a female student to visit the same store and talk to the same salesperson at different times. The variation in salesperson behavior is sometimes quite revealing.

A clothing designer's sales S depend on x, the amount spent on television advertising, and y, the amount spent on print advertising (both in thousands of dollars), according to the function

S(x, y)=$60 x^2+90 y^2-6 x y+200$

Find S$_x$(2,3) and S$_y$(2,3), and interpret these numbers.

You are awake during the day and sleep at night. This behavior is an example of F. circadian rhythm. G. aggression. H. trail-and-error learning. J. hibernation.

For a small company spending $x thousand per year in advertising, suppose that annual sales in thousands of dollars equal$s=80-$\frac{40}{\sqrt{4+x}}. If the current advertising budget is$x=40$and the budget is increasing at a rate of$$1500$ per year, find the rate of change of sales.

The Odyssey Travel Agency’s monthly revenue (in thousands of dollars) depends on the amount of money $x$ (in thousands) spent on advertising per month and the number of agents $y$ in its employ in accordance with the rule

$$R(x, y)= -x^2 - 0.5y^2 + xy + 8x + 3y + 20$$

Currently, the amount of money spent on advertising is $10,000 per month, and there are 15 agents in the agency’s employ. Estimate the change in revenue resulting from an increase of$1000 per month in advertising expenditure and a decrease of 1 agent.