A software development department consists of 6 women and 4 men. (A) How many ways can the department select a chief programmer, a backup programmer, and a programming librarian? (B) How many of the selections in part (A) consist entirely of women? (C) How many ways can the department select a team of 3 programmers to work on a particular project?

Saltwater Trade Mart has recently had lackluster sales. The rate of inventory turnover has dropped, and the merchandise is gathering dust. At the same time, competition has forced Saltwater’s suppliers to lower the prices that Saltwater will pay when it replaces its inventory. It is now December 31, 2012, and the current replacement cost of Saltwater’s ending inventory is $85,000 below what Saltwater actually paid for the goods, which was$270,000. Before any adjustments at the end of the period, the Cost of Goods Sold account has a balance of $790,000. a. What accounting action should Saltwater take in this situation? b. Give any journal entry required. c. At what amount should Saltwater report Inventory on the balance sheet? d. At what amount should the company report Cost of Goods Sold on the income statement? e. Discuss the accounting principle or concept that is most relevant to this situation.

Use L'Hopital's Rule to determine the comparative rates of increase of the functions $f(x)=x^m, \quad g(x)=e^{n x}$, and $h(x)=(\ln x)^n$ where $n>0, m>0$, and $x \rightarrow \infty$.
$\lim _{x \rightarrow \infty} \dfrac{x^m}{e^{n x}}$

Correcting Sentences with Incorrectly formed Comparisons. On the line after each sentence write the comparative or superlative form that will correct the underlined errors. Of the two hotels. this one is the $\underline{most}$ $\underline{luxurious}$.

What are some of the advantages and disadvantages of these personal letters as historical documents? For example, what insights do they provide that more formal documents, such as the Declaration of Independence, do not? How are the letters useful or limited in their historical value? How does the identity of the writer influence the content? Draw upon your chart to cite examples from the letters to prove your points.

Either by hand or using a computer software package, sketch the phase plane diagrams for the given system. Discuss the stability of each limit cycle and critical point. Here $x=r \cos \theta$ and $y=r \sin \theta$.
$\frac{d x}{d t}=y+x \sin (1 / r)$,

$$\frac{d y}{d t}=-x+y \sin (1 / r)$$

(Calculus required) What happens to the angle $\theta$ in part (a) as the dimension of $R^n$ approaches $+\propto$ ?

Correcting Sentences with Incorrectly formed Comparisons. On the line after each sentence write the comparative or superlative form that will correct the underlined errors. I am not certain which of these four hills is the $\underline{steeper}$.

In each sentence, underline the adjective or adverb used to compare. State whether it expresses comparative or superlative degree.

The most terrifying moment came when thieves knocked on the door, demanding money.

Solve the following initial value problems and leave the solution in implicit form. Use graphing software to plot the solution. If the implicit solution describes more than one function, be sure to indicate which function corresponds to the solution of the initial value problem. $y y^{\prime}(x)=\frac{2 x}{\left(2+y^{2}\right)^{2}}, y(1)=-1$

The given values are the commissions earned ($000) last year by the 15 sales representatives at Furniture Patch Compay.Calculate the coefficient of skewness using the software method.

$$\begin{array}{|rrrrrrrrr|} \hline\$ 3.9 & \$ 5.7 & \$ 7.3 & \$ 10.6 & \$ 13.0 & \$ 13.6 & \$ 15.1 & \$ 15.8 & \$ 17.1 \\ 17.4 & 17.6 & 22.3 & 38.6 & 43.2 & 87.7 & & & \\ \hline \end{array}$$

How might the law of supply and demand relate to inventory storage?

Mitsubishi Corp., a broadly diversified Japanese company, instituted a credit plan called Three Diamonds for customers who buy its major electronic products, such as large-screen televisions, from specified retail dealers. Under the plan, approved customers who make purchases in July of one year do not have to make any payments until September of the next year. Nor do they have to pay interest during the intervening months. Mitsubishi pays the dealer the full amount less a small fee, sends the customer a Mitsubishi credit card, and collects from the customer at the specified time. What was Mitsubishi’s motivation for establishing such generous credit terms? What costs are involved? What are the accounting implications?

City Hospital, a nonprofit organization, estimates that it can save $28,000 a year in cash operating costs for the next 10 years if it buys a special-purpose eye testing machine at a cost of$110,000. No terminal disposal value is expected. City Hospital’s required rate of return is 14%. Assume all cash flows occur at year-end except for initial investment amounts. City Hospital uses straight-line depreciation. 1. Calculate the following for the special-purpose eye-testing machine: a. Net present value b. Payback period c. Internal rate of return d. Accrual accounting rate of return based on net initial investment e. Accrual accounting rate of return based on average investment 2. What other factors should City Hospital consider in deciding whether to purchase the special-purpose eye-testing machine?