Alexandra and Jean-Sébastian work in a department store. Alexandra is speaking sharply to Jean-Sébastien. Give him the same instruction in a more tactful way.

Va $\`a$ la banque !

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Manufacturing Two departments of a firm, $\mathrm{A}$ and $\mathrm{B}$, need different amounts of the same products. The following table gives the amounts of the products needed by the two departments.

These three products are supplied by two suppliers, Ace and Kink, with the unit prices given in the following table.

(a) Use matrix multiplication to find how much these two orders will cost at the two suppliers. The result should be a $2 \times 2$ matrix.

(b) From which supplier should each department make its purchase?

If you buy a 13-week T-bill with a maturity value of $5,000 for$4,922.15 from the U.S. Treasury Department, what annual interest rate will you earn?

Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with six members if it must have the same number of men and women?

Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men?

Alexandra and Jean-Sébastian work in a department store. Alexandra is speaking sharply to Jean-Sébastien. Give him the same instruction in a more tactful way.

Parle $\`a$ cette dame !

A $19.9$-ft walkway between two department stores is higher at one end than the other. The sine of the angle of elevation is $0.1299$. Determine the distance between the two buildings.

Alexandra and Jean-Sébastian work in a department store. Alexandra is speaking sharply to Jean-Sébastien. Give him the same instruction in a more tactful way.

Change le DVD !

The state sales tax in New York is 4.25%. Jean spends $208 at a department store, but only half of the merchandise she purchases is taxed. What is her total bill?

Office Supply World assigns overhead to a department based on the square feet of office space it occupies. The overhead for a month totaled $\$ 9,000$ and each department occupies the following number of square feet: furniture, $2,000$ ; computer supplies, $1,600$; consumable office supplies, $2,500$; leather goods, $1,200$; and administrative services, $800$ . Find each department's overhead. Use the full calculator value of the decimal equivalent to find overhead.

Wright Company’s information system was developed in stages over the past five years. During the design process, department heads specified the information and reports they needed. By the time development began, new department heads were in place, and they requested additional reports. Reports were discontinued only when requested by a department head. Few reports were discontinued, and a large number are generated each period.

Management, concerned about the number of reports produced, asked internal auditing to evaluate system effectiveness. They determined that more information was generated than could be used effectively and noted the following reactions:

• Many departments did not act on reports during peak activity periods. They let them accumulate in the hope of catching up later.

• Some had so many reports they did not act at all or misused the information.

• Frequently, no action was taken until another manager needed a decision made. Department heads did not develop a priority system for acting on the information.

• Department heads often developed information from alternative, independent sources. This was easier than searching the reports for the needed data.

b. Recommend procedures to eliminate dysfunctional behavior and prevent its recurrence.

The chief cost accountant for Sassy Beverage Co. estimated that total factory overhead cost for the Blending Department for the coming fiscal year beginning June 1 would be $97,500, and total direct labor costs would be$75,000. During June, the actual direct labor cost totaled $6,300, and factory overhead cost incurred totaled$8,250.

c. What is the June 30 balance of the account Factory Overhead—Blending Department?

Ticketing Speeding Drivers A highway patrol department estimates that the cost of ticketing $p$ percent of the speeders who travel on a freeway is given by

$$C=\dfrac{600 p}{100-p}, 0<p<100$$

where $C$ is in thousands of dollars. If the highway patrol department plans to fund its program to ticket speeding drivers with $\$ 100,000$ to $\$ 180,000$, What is the likely range of the percentage of speeders the police will ticket? Round your percentages to the nearest $0.1 \%$.

In divisional income statements prepared for Wilborne Construction Company, the Payroll Department costs are charged back to user divisions on the basis of the number of payroll checks, and the Purchasing Department costs are charged back on the basis of the number of purchase requisitions. The Payroll Department had expenses of $119,280, and the Purchasing Department had expenses of$57,750 for the year. The following annual data for Residential, Commercial, and Government Contract divisions were obtained from corporate records:

$$\begin{array}{lrrr} &\textbf{Residential}&\textbf{Commercial}&\textbf{Government Contract}\\ \hline \text{Sales}&\$900,000&\$1,218,750&\$2,800,000\\ \text{Number of employees:}\\ \hspace{10pt}\text{Weekly payroll (52 weeks per year)}&250&125&150\\ \hspace{10pt}\text{Monthly payroll}&50&100&60\\ \text{Number of purchase requisitions per year}&3,750&3,125&2,750 \end{array}$$

a. Determine the total amount of payroll checks and purchase requisitions processed per year by the company and each division.