The adjusted trial balance of Estella Real Estate Appraisal at June 30, 2016, follows:

$$\begin{array}{c} \textbf{ESTELLA REAL ESTATE APPRAISAL}\\ \text{Adjusted Trial Balance}\\ \text{June 30, 2016}\\ \end{array}$$

$$\begin{array}{lrr} &\textbf{Balance}\\ \textbf{Account Title}&\textbf{Debit}&\textbf{Credit}\\ \text{Cash}&\$4,600\\ \text{Accounts Receivable}&5,300\\ \text{Office Supplies}&1,500\\ \text{Prepaid Insurance}&1,600\\ \text{Building}&77,000\\ \text{Accumulated Depreciation - Building}&&\$26,000\\ \text{Land}&13,500\\ \text{Accounts Payable}&&19,300\\ \text{Interest Payable}&&8,400\\ \text{Salaries Payable}&&1,900\\ \text{Unearned Revenue}&&5,300\\ \text{Notes Payable (long-term)}&&37,000\\ \text{Common Stock}&&3,000\\ \text{Retained Earnings}&&37,000\\ \text{Dividends}&27,200\\ \text{Service Revenue}&&48,900\\ \text{Insurance Expense}&4,300\\ \text{Salaries Expense}&33,000\\ \text{Supplies Expense}&200\\ \text{Interest Expense}&8,400\\ \text{Utilities Expense}&2,500\\ \text{Depreciation Expense - Building}&7,700\\ \text{Total}&\underline{\underline{\$186,800}}&\underline{\underline{\$186,800}}\\ \end{array}$$

Requirements

1. Prepare the company's income statement for the year ended June 30, 2016.
2. Prepare the company's statement of retained earnings for the year ended June 30, 2016.
3. Prepare the company's classified balance sheet in report form at June 30, 2016.
4. Journalize the closing entries.
5. Open the T-accounts using the balances from the adjusted trial balance, and post the closing entries to the T-accounts.
6. Prepare the company's post-closing trial balance at June 30, 2016.

For the cycle of earlier problem, investigate the effects on cycle performance as the higher extraction pressure takes on other values. The operating conditions for the open feed. water heater are unchanged from those in earlier problem. Assume that condensate drains from the closed feedwater heater as saturated liquid at the higher extraction pressure. Also, feedwater leaves the heater at $12\ \mathrm{MPa}$ and a temperature equal to the saturation temperature at the extraction pressure. Construct suitable plots and discuss.

Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given by

$$\frac{d N}{d t}=\frac{1}{2 \sqrt{t+1}}$$

where $N$ is the number of units completed $t$ hours after beginning a new task. If $2$ units are completed after $3$ hours, how many units are completed after $8$ hours?

Performance data for a centrifugal fan of 3-ft diameter, tested at 750 rpm, are

$$\begin{matrix} \text{Volume flow rate Q (}{\mathrm{ft}^{3} /s)} & \text{106} & \text{141} & \text{176} & \text{211} & \text{246} & \text{282}\\ \text{Static pressure rise, }{\Delta p} (psi) & \text{0.075} & \text{0.073} & \text{0.064} & \text{0.050} & \text{0.033} & \text{0.016}\\ \text{Power output }{\mathscr{P} (hp)} & \text{2.75} & \text{3.18} & \text{3.50} & \text{3.51} & \text{3.50} & \text{3.22}\\ \end{matrix}$$

Plot the performance data versus volume flow rate. Calculate static efficiency, and show the curve on the plot. Find the best efficiency point, and specify the fan rating at this point. Using the fan, determine the minimum size square sheet-metal duct that will carry a flow of 200 $\mathrm{ft}^{3}$/s over a distance of 50 ft. Estimate the increase in delivery if the fan speed is increased to 1000 rpm.

Alvarez Manufacturing Inc. is a job shop. The management of Alvarez Manufacturing Inc. uses the cost information from the job sheets to assess cost performance. Information on the total cost, product type, and quantity of items produced is as follows:

$$\begin{array}{lclcr} \text { Date } & \text { Job No. } & \text { Product } & \text { Quantity } & \text { Amount } \\ \hline \text { Jan. 2 } & 1 & \text { TT } & 520 & \$ 16,120 \\ \text { Jan. 15 } & 22 & \text { SS } & 1,610 & 20,125 \\ \text { Feb. 3 } & 30 & \text { SS } & 1,420 & 25,560 \\ \text { Mar. 7 } & 41 & \text { TT } & 670 & 15,075 \\ \text { Mar. 24 } & 49 & \text { SLK } & 2,210 & 22,100 \\ \text { May 19 } & 58 & \text { SLK } & 2,550 & 31,875 \\ \text { June 12 } & 65 & \text { TT } & 620 & 10,540 \\ \text { Aug. 18 } & 78 & \text { SLK } & 3,110 & 48,205 \\ \text { Sept. 2 } & 82 & \text { SS } & 1,210 & 16,940 \\ \text { Nov. 14 } & 92 & \text { TT } & 750 & 8,250 \\ \text { Dec. 12 } & 98 & \text { SLK } & 2,700 & 52,650 \end{array}$$

a. Develop a graph for each product (three graphs) with Job Number (in date order) on the horizontal axis and Unit Cost on the vertical axis. Use this information to determine Alvarez Manufacturing Inc.’s cost performance over time for the three products.

b. What additional information would you require in order to investigate Alvarez Manufacturing Inc.’s cost performance more precisely?

As shown in figure, an air conditioner operating at steady state maintains a dwelling at $70^{\circ} \mathrm{F}$ on a day when the outside temperature is $90^{\circ} \mathrm{F}$. If the rate of heat transfer into the dwelling through the walls and roof is $30,000\ \mathrm{Btu} / \mathrm{h}$, might a net power input to the air conditioner compressor of 3 hp be sufficient? If yes, determine the coefficient of performance. If no, determine the minimum theoretical power input, in hp.

An axial fan $2 \mathrm{~m}$ in diameter is used in a wind tunnel as shown (test section $1.2 \mathrm{~m}$ in diameter; test section velocity of $60 \mathrm{~m} / \mathrm{s}$ ). The rotational speed of the fan is $1800 \mathrm{rpm}$. Assume the density of the air is constant at $1.2 \mathrm{~kg} / \mathrm{m}^3$. There are negligible losses in the tunnel. The performance curve of the fan is identical to that shown in the mentioned figure. Compute the power needed to operate the fan.

In the 2008 baseball season, first baseman Ryan Howard of the Philadelphia Phillies led the Major Leagues with 48 home runs (HR) and 146 runs batted in (RBI). Overall, using all players with at least 300 plate appearances, the mean number of HR was $14.9$ with a standard deviation of $9.8$, whereas the mean number of RBI was $62.5$ with a standard deviation of $25.5$. Which was the more impressive PERFORMANCE? Explain, using the methods of this chapter.

The Red Lobster Restaurant chain conducts regular surveys of its customers to monitor the performance of individual restaurants. One of the questions asks customers to rate the overall quality of their last visit. The listed responses are Poor (1), Fair (2), Good (3), Very good (4), and Excellent (5). The survey also asks respondents whether their children accompanied them (1 5 yes and 2 5 no) to the restaurant. Graphically depict these data and describe your findings.

Plant acquisitions for selected companies are presented below. **1.** Natchez Industries Inc. acquired land, buildings, and equipment from a bankrupt company, Vivace Co., for a lump-sum price of $680,000. At the time of purchase, Vivace’s assets had the following book and appraisal values. $$ \begin{array}{lrr} & \textbf{Book Values} & \textbf{Appraisal Values}\\ \\ \text{Land} & \$200,000 & \$150,000\\ \text{Buildings} & 230,000 & 350,000\\ \text{Equipment} & 300,000 & 300,000\\ \end{array} $$ To be conservative, the company decided to take the lower of the two values for each asset acquired. The following entry was made. |Land|150,000|| |--|--:|--:| |Buildings| 230,000|| |Equipment| 300,000|| |$\quad$Cash||680,000| **2.** Arawak Enterprises purchased store equipment by making a $2,000 cash down payment and signing a 1-year,$23,000, 10% note payable. The purchase was recorded as follows. |Equipment|27,300|| |--|--:|--:| |$\quad$Cash||2,000| |$\quad$Notes Payable||23,000| |$\quad$Interest Payable||2,300| **3.** Ace Company purchased office equipment for $20,000, terms 2/10, n/30. Because the company intended to take the discount, it made no entry until it paid for the acquisition. The entry was: |Equipment|20,000|| |--|--:|--:| |$    $Cash||19,600| |$    $Purchase Discounts||400| **4.** Paunee Inc. recently received at zero cost land from the Village of Cardassia as an inducement to locate its business in the Village. The appraised value of the land is$27,000. The company made no entry to record the land because it had no cost basis. **5.** Mohegan Company built a warehouse for $600,000. It could have purchased the building for$740,000. The controller made the following entry. |Buildings|740,000|| |--|--:|--:| |$\quad$Cash||600,000| |$\quad$Profit on Construction||140,000| **Instructions** Prepare the entry that should have been made at the date of each acquisition.

An office building requires a heat transfer rate of $20\ \mathrm{kW}$ to maintain the inside temperature at $21^{\circ} \mathrm{C}$ when the outside temperature is $0^{\circ} \mathrm{C}$. A vapor-compression heat pump with Refrigerant $22\mathrm{a}$ as the working fluid is to be used to provide the necessary heating. The compressor operates adiabatically with an isentropic efficiency of $82 \%$. Specify appropriate evaporator and condenser pressures of a cycle for this purpose assuming $\Delta T_{\text {cond }}=\Delta T_{\text {cvap }}=10^{\circ} \mathrm{C}$, as shown in figure. The states are numbered as in figure. The refrigerant exits the evaporator as saturated vapor and exits the condenser as saturated liquid at the respective pressures. Determine the (a) mass flow rate of refrigerant, in $\mathrm{kg} / \mathrm{s}$. (b) compressor power, in $\mathrm{kW}$. (c) coefficient of performance and compare with the coefficient of performance for a Carnot heat pump cycle operating between reservoirs at the inside and outside temperatures, respectively.. Compare the results with those of previous problem and discuss.

Determine the optimal control signal u for the system $\dot{\mathbf{x}}=\mathbf{A x}+\mathbf{B} u$ defined by

$$\mathbf{A}=\left[\begin{array}{rr}{0} & {1} \\ {0} & {-1}\end{array}\right], \quad \mathbf{B}=\left[\begin{array}{l}{0} \\ {1}\end{array}\right]$$

. Where such that the following performance index is minimized: $J=\int_{0}^{\infty}\left(\mathbf{x}^{T} \mathbf{x}+u^{2}\right) d t$

Performance of stock screeners. Refer to the American Association of Individual Investors (AAII) statistics on stock screeners, Exercise $2.44$ (p. 71). Annualized percentage return on investment (as compared to the Standard & Poor's 500 Index) for 13 randomly selected stock screeners are reproduced in the table. Find the range of the data for the 13 stock screeners. Give the units of measurement for the range.

$9.0$	$-.1$	$-1.6$	$14.6$	$16.0$	$7.7$	$19.9$	$9.8$	$3.2$	$24.8$	$17.6$	$10.7$	$9.1$

A new surgical procedure is said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. a. What is the probability that all five operations are successful? b. What is the probability that exactly four are successful? c. What is the probability that less than two are successful? d. If less than two operations were successful, how would you feel about the performance of the surgical team?