Use a graphing utility to graph the sales function over 1 year, where S is the sales (in thousands of units) of a seasonal product, and t is the time (in months), with t = 1 corresponding to January. Determine the months of maximum and minimum sales. $S=56.25+9.50 \sin \frac{\pi t}{6}$

Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on $25\%$ of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of $.0625.$

Let $\bar{p}$ indicate the sample proportion of book adoptions obtained during the month. Show the sampling distribution of $\bar{p}$.

The following partial MINITAB regression output for the starting salary data relates to predicting the starting salary of a marketing graduate having a grade point average of 3.25.

Predicted Values for New Observations
New Obs            Fit                SE Fit                    95% CI                   95% PI
    1             33.362              0.213                  (32.813, 33.911)         (31.878, 34.846)

Report (as shown on the computer output) a point prediction of and a 95 percent prediction interval for the starting salary of an individual marketing graduate having a grade point average of 3.25.

X-Tel budgets sales of $\$ 60,000$ for April, $\$ 100,000$ for May, and $\$ 80,000$ for June. In addition, sales are $40 \%$ cash and $60 \%$ on credit. All credit sales are collected in the month following the sale. The April 1 balance in accounts receivable is $\$ 15,000$. Prepare a schedule of budgeted cash receipts for April, May, and June.

A boatyard estimates that sales during week x of the year will be $S(x)=25-20 \cos \frac{\pi x}{26}$ thousand dollars, where x = 0 corresponds to the beginning of the year. a. Graph the sales function on [0, 52] by [-10, 50]. b. Find the total sales during the first half of the year (x = 0 to x = 26).

Use a graphing utility to graph the sales function over 1 year, where S is the sales (in thousands of units) of a seasonal product, and t is the time (in months), with t = 1 corresponding to January. Determine the months of maximum and minimum sales. $S=48.4-6.1 \cos \frac{\pi t}{6}$

How does an MBA major affect the number of job offers received? An MBA student randomly sampled four recent graduates, one each in finance, marketing, and management, and asked them to report the number of job offers. Can we conclude at the 5% significance level that there are differences in the number of job offers between the three MBA majors?

As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at$2300 per month, plus a commission of 5% of sales. Write a linear equation for the monthly wage W2 of your new job offer in terms of the monthly sales S

In 1995, retail sales of apparel in the United States were $70,583 billion. Apparel sales were$82,805 billion in 1997. Explain how the rate is related to the graph of the line.

The Lady Bug, a women 's clothing chain store, found that $t$ days after the end of a sales promotion the volume of sales was given by

$$S(t)=20,000(1+e^{-0.5t}),\,\,\, (0\leq t\leq 5)$$

dollars. a. Find the rate of change of The Lady Bug's sales volume when $t=1,\,t=2\,,t=3$ and $t=4$. b. In how many days will the sales volume drop below $27,400?

Online retail sales stood at $141.4 billion for 2004. For the next 2 years, they grew by 24.3% and 14% per year, respectively. For the next 3 years, online retail sales grew at the rate of approximately 30.5%, 17.6%, and 10.5% per year, respectively. What were the online sales for 2009?

Refer to the National Association of Realtors data on sales price $(y)$, region (NE, NW, S, or W), and sales volume for 28 recently sold single-family homes, Exercise $12.95$ (p. 766). You fit a complete second-order model for $E(y)$ as a region and sales volume function.

d. Based on the result, part c, which of the nested models (the complete or the reduced model) do you prefer to use in predicting sales price $(y)$? Justify.

Market research is the process of obtaining the information needed to make sound marketing decisions. A well-known market research company is Nielsen Media Research. The company specializes in television audience research. In other words, Nielsen finds out who watches what show, where, and when. The heart of the company's national ratings is the Nielsen People Meter, an electronic device placed on television sets in some 5,100 U.S. households.

Name two ways the Nielsen ratings can be used in marketing.

Consider the next data from a small bookstore.

The manager wants to predict Sales from the Number of Sales People Working.

a) Find the slope estimate,$b_1$.