Apple Inc. is a multinational technology company that designs, develops, manufactures, and sells innovative consumer electronics products and services around the globe. Its products include laptop (e.g., MacBook) and desktop (e.g., iMac) computers, mobile phones (e.g., iPhone), MP3 players (e.g., iPod nano), tablets (e.g., iPad), and various other devices (e.g., Apple Watch, Apple TV, etc.). Its services include personalized, onsite (e.g., at Apple Store) group and individual training sessions, fitness notifications (e.g., from Apple Watch), audio and video streaming, and online and phone help services. Founded in Cupertino, California, in 1976, Apple has been a success as measured by almost any standard. As one example, Apple recently reported the largest ever recorded quarterly profit by a single public corporation! While a history of such amazing performance is admirable, publicly traded companies must always focus on the future and convince investors, and various other key stakeholders, that they will maintain-or even improve-performance in the future.

1. Identify the five most important stakeholders for Apple Inc. Briefly explain how you selected these five stakeholders and why they are important to Apple.

2. Describe the specific approach you believe Apple’s management team should employ to engage with each of the five stakeholders you identified in Requirement 1. For each stakeholder engagement approach, briefly explain the type of information or performance measures that Apple’s management team should provide to the stakeholder (or receive from the stakeholder) to improve the effectiveness of the engagement.

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: $J=\int_{0}^{\infty}\left(\mathbf{x}^{T} \mathbf{x}+u^{2}\right) d t$

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?

Consider a Carnot-cycle heat pump with R22 as the working fluid; Heat is rejected from the R-22 at 100 F: during which process the R-22 changes from saturated vapor to saturated liquid. The heat is transferred to the R-22 at 30 F. a. Show the cycle on a T-diagram. b. Find the quality of the R-22 at the beginning and end of the isothermal heat addition process at 30 F. c. Determine the coefficient of performance for the cycle.

A Carnot vapor refrigeration cycle employs Refrigerant $134 a$ as the working fluid. The refrigerant enters the condenser as saturated vapor at $28^{\circ} \mathrm{C}$ and leaves it as a saturated liquid. The evaporator operates at a temperature of $-10^{\circ} \mathrm{C}$. Find, in $\mathrm{kJ}$ per $\mathrm{kg}$ of refrigerant flow,

(a) the work input to the compressor.

(b) the work developed by the turbine.

(c) the heat transfer to the refrigerant passing via the evaporator. What is the coefficient of performance of the cycle?

Performance data for a centrifugal fan of 3-ft diameter tested at 750 rpm are $$ \begin{matrix}\text{Volume flow} & \text{106} & \text{141} & \text{176}\\\mathrm{rate, Q (ft^{3}/s)}\\\text{Static pressure} & \text{0.075} & \text{0.073} & \text{0.064}\\\mathrm{rise, \Delta p (psi)}\\\text{Power output,} & \text{2.75} & \text{3.18} & \text{3.50}\\\mathrm{\scr{P} (hp)}\\\text{Volume flow} & \text{211} & \text{246} & \text{282}\\\mathrm{rate, Q (ft^{3}/s)}\\\text{Static pressure} & \text{0.050} & \text{0.033} & \text{0.016}\\\mathrm{rise, \Delta p (psi)}\\\text{Power output,} & \text{3.51} & \text{3.50} & \text{3.22}\\\mathrm{\scr{P} (hp)}\\\end{matrix} $$ 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.

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.

The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 9 students are consistent with summary quantities given in the paper "Effects of Humor on Test Anxiety and Performance" (Psychological Reports 11999]: 1203-1212): Higher values for x indicate higher levels of anxiety. a. Construct a scatterplot, and comment on the features of the plot. b. Does there appear to be a linear relationship between the two variables? How would you characterize the relationship? c. Compute the value of the correlation coefficient. Is the value of r consistent with your answer to Part (b)? d. Is it reasonable to conclude that test anxiety caused poor exam performance? Explain.

$$\begin{matrix} \text{x} & \text{23} & \text{14} & \text{14} & \text{0} & \text{17} & \text{20} & \text{20} & \text{15} & \text{21}\\ \text{y} & \text{43} & \text{59} & \text{48} & \text{77} & \text{50} & \text{52} & \text{46} & \text{51} & \text{51}\\ \end{matrix}$$

Katie and Kim are attending a theater performance. Katie's seat is at floor level. She looks down at an angle of 18$^{\circ}$ to see the orchestra pit. Kim's seat is in the balcony directly above Katie. Kim looks down at an angle of 42$^{\circ}$ to see the pit. The horizontal distance from Katie's seat to the pit is 46ft. What is the vertical distance between Katie's seat and Kim's seat? Round to the nearest inch.

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.

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.

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.

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

The following selected accounts appear in Shaw Company's unadjusted trial balance at December 31, 2018, the end of its fiscal year (all accounts have normal balances).

$$\begin{array}{lrlr} \text{ Prepaid advertising }& \$ 1,200 &\text{ Performance obligations }& \$ 5,400 \\ \text{ Wages expense }& 43,800 &\text{ Service fees revenue }& 87,000 \\ \text{ Prepaid insurance }& 3,420 &\text{ Rental income }& 4,900 \\ \end{array}$$

Prepare its adjusting entries at December 3 I. 2018. (1) using the financial statement effects template. and (2) in journal entry form using the following additional information.

1. Prepaid advertising at December 31 is $800.
2. Unpaid and unrecorded wages earned by employees in December are$1,300.
3. Prepaid insurance at December 31 is $2,280.
4. Perfomance obligations represent service fees collected in advance of when the services are provided to customers. Performance obligations at December 31 are$3,000.
5. Rent revenue of$ 1,000 owed by a tenant is not recorded at December 31 .

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?