The comparative balance sheets for 2021 and 2020 and the statement of income for 2021 are given below for Dux Company. Additional information from Dux’s accounting records is provided also.

Additional information from the accounting records:

1. A building that originally cost $168,000, and which was three-fourths depreciated, was sold for $7,000.
2. The common stock of Byrd Corporation was purchased for $5,000 as a long-term investment.
3. Property was acquired by issuing a 13%, seven-year, $46,000 note payable to the seller.
4. New equipment was purchased for $63,000 cash.
5. On January 1, 2021, bonds were sold at their $41,000 face value.
6. On January 19, Dux issued a 5% stock dividend (1,000 shares). The market price of the $10 par value common stock was $14 per share at that time.
7. Cash dividends of $29,000 were paid to shareholders.
8. On November 12, 12,500 shares of common stock were repurchased as treasury stock at a cost of $8,000.

Required:
Prepare the statement of cash flows for Dux Company using the indirect method. (Amounts to be deducted should be indicated with a minus sign. Enter your answers in thousands (i.e., 10,000 should be entered as 10).)

1)A cylindrical water-tank has a small hole 60cm above the floor on which the tank stands. The depth of water in the tank is 1.8m.Assume the diameter of the tank to be greater than that of the hole. 1a) Find the horizontal distance from the side of the tank to the point on the floor where the stream of water lands. 1b) At what other height from the base of the tank would a second hole be drilled for water from this hole to strike the base at the same point as the first hole?

2) Water flows along the horizontal pipe cross section area 48cm²   which has a constriction of cross section area 12cm² at one place. If the speed of water at the constriction is 4m/s, calculate the speed in the wider section and hence the pressure at the constriction if the pressure in the wider section is 1.0 x 10⁵ pa. Density of water is 1000kg/m³

3)What volume of water will escape per minute from a tank through an opening 2cm in diameter and 5m below the level of water?

4)A venturi meter is equipped with a deferential mercury meter. The inlet diameter is 30cm and the throat diameter is 15cm. Find the ideal flow of water through the meter if the difference in height between the mercury columns is 23cm. Relative density of mercury is 13.6

5) Mercury at 20 degrees Celsius is flowing in a pipe of 50mm diameter at a certain point A with velocity 1.83m/s² the pipe travels to point B, 3.78m above A, where the diameter has been reduced to 35mm. The pipe continues to a point C, 1.27m above B at which the diameter has changed to 75mm. The gauge pressure at A is 596 kpa. The relative density of mercury is 13.6 the atmospheric pressure is 101.325kpa and the gravitational acceleration is 9.81m/s² . What would be the readings of the pressure gauges at points B and C?

6) A tank of large area is filled with water to a depth of 0.3m . A hole of 5cm² cross section in the bottom allows water to drain out in a continuous stream. 6a)What is the rate at which water flows out the tank in m³/s? 6b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one half of the area of the hole?

7)Water enclosed in a tank is subjected to a gauge pressure of 6x10⁵ pa, applied by compressed air introduced into the top of the tank. A small hole of 5cm² cross sectional area is in the side of the tank 5m below the level of the water. Estimate the rate at which water escapes from this hole in m³/hr.

Instructions

Read the case study details below then answer the questions.

Dave is a five-year-old sedentary male who was referred to a pediatric dietitian due to his pediatrician’s concerns with his weight gain over the past year. His parents recently divorced and both parents have equal custody. Prior to the divorce Dave was physically active and on a regular schedule of meals and snacks. Now Dave has unlimited access to snacks at both parents’ homes and his favorite pastimes include watching cartoons and playing video games with his brothers. Dave often snacks while dinner is being made and frequently drinks juice and soda. He often eats meals and sacks while watching TV with or without his mom or dad. He usually refuses to sit down and eat at the dinner table.

1. At 3 years old Dave weighed 32 pounds and was 37 inches tall. At 4 years old Dave weighed 40 pounds and was 40 inches tall. At 5 years old Dave weighed 45 pounds and was 41 inches tall. What is Dave's weight for age %, height for age %, BMI, and BMI for age % at ages 3, 4, and 5? (see http://www.cdc.gov/growthcharts/ (Links to an external site.) for growth charts; 5 Points).
2. Use one word to correctly interpret the current status of Dave’s weight according to his BMI for age percentile (1 point)?
3. Do you have any other concerns about Dave’s growth based on the data in the above table (2 points)?
4. What suggestions do you have for helping Dave’s parents decrease his risk of illness related to his weight (2 points)?
5. Calculate the energy and protein requirements for a Dave at five years old (4 points). The EER for Boys 3 through 8 years is:

• EER = 88.5 − (61.9 × age [y]) + PA × (26.7 × weight [kg] + 903 × height [m]) + 20 kcal
• PA = 1.00 if PAL is estimated to be ≥ 1.0 < 1.4 (sedentary)
• PA = 1.13 if PAL is estimated to be ≥ 1.4 < 1.6 (low active)
• PA = 1.26 if PAL is estimated to be ≥ 1.6 < 1.9 (active)
• PA = 1.42 if PAL is estimated to be ≥ 1.9 < 2.5 (very active)

6. Describe the issues surrounding Dave’s mealtime behaviors (3 points).
7. What concerns do you have about giving Dave unlimited access to snacks, juice, and soda (4 points)?
8. How can healthy eating behaviors be developed in Dave?

II. ***Write the following information in a more clear and concise manner, as it would appear in the medical record. Include an appropriate subheading.

1. The patient walked 75 feet in the hallway of the hospital with the therapist lightly touching her back. She used a front-wheeled walker. The therapist was needed to help provide the patient with support to maintain balance.

2. The patient’s strength was 3/5 for the right biceps and 4/5 for the right triceps.

3. Upon arrival to therapy, the patient told you that she had been doing her HEP without any problems and really

felt like her ability to get in and out of bed has improved.

4. The patient said that her pain was 3/10 on a pain scale.

5. You performed an ultrasound to the dorsal aspect of the patient’s right foot. You used 3 MHz at 50% duty cyclewith the intensity set at 1.0 w/cm2.

6. The patient demonstrated the following range of motion measurements: active range of motion for the right elbow was 130° flexion and 10° of hyperextension.

7. Knee active range of motion was 100° flexion and lacking 10° of extension.

8. The patient propelled his wheelchair around the hospital, outside on the sidewalk, and up and down several ramps with you providing verbal reminders on trunk positioning for going up and down the ramps.

9. The patient was able to put her ankle-foot orthosis on and remove it independently. She was also able to independently check her skin for any irritated areas after she removed the orthosis.

10. You instructed the patient to perform 10 repetitions of each exercise as part of her home exercise program. The exercises included ankle pumps, quadriceps setting, short arc quadriceps strengthening from 45° to 0°, and heel slides.

11. During a busy morning in a hospital, you were working with a patient who told you that she was going to be discharged and wanted home health services, primarily physical therapy. After writing the note and moving on to the next patient, you realize that you did not document the patient’s desire for home therapy. What should you do? How would you document this entry into the medical record. Where should this information be placed? How might this be different if you were using an EMR?

12. When handwriting information in the medical record, you realize that you made an error in documenting the patient’s AROM. It should have been 125°, not 152°. Demonstrate how to correct this mistake.

The comparative balance sheets for 2021 and 2020 and the statement of income for 2021 are given below for Dux Company Additional information from Dux's accounting records is provided also. DUX COMPANY ,   COMPARATIVE BALANCE SHEETS DECEMBER 31, 2021 AND 2020   ($ IN THOUSANDS) ASSETS    2021 -- 2020 CASH CASH $ 39.0 --$21.0 ACCOUNTS RECEIVABLE, $49.0 - $51.0 LESS: ALLOWANCE FOR UNCOLLECTIBLE ACCOUNTS (3.0) -- (2.0) DIVIDENDS RECEIVABLE, 4.0 -- 3.0 INVENTORY,56.0 - 51.0 LONG-TERM INVESTMENT 16.0-11.0, LAND 71.0 -----40.0 BUILDINGS AND EQUIPMENT 221.0-251.0 LESS: ACCUMULATED DEPRECIATION(26.0) --- (55.0) $427.0-371.0 LIABILITIES ACCOUNTS- PAYABLE ACCOUNTS PAYABLE $ 14.0 - $ 21.0 SALARIES PAYABLE 3.0- 6.0 INTEREST PAYABLE 5.0 -- 3.0 INCOME TAX PAYABLE 8.0 - 9.0 NOTES PAYABLE 31.0-0  BONDS PAYABLE 96.0-70.0 LESS:DISCOUNT ON BONDS (2.0) = (3.0) SHAREHOLDERS' EQUITY COMMON STOCK  210.0 -------- 200.0 PAID-IN CAPITAL-EXCESS OF PAR 24.0-20.0 RETAINED EARNING 46.0--------- 45.0 LESS: TREASURY STOCK (8.0)-0        427.0 ---------- 371.0

DUX COMPANY , INCOME STATEMENT FOR THE YEAR ENDED DECEMBER 31, 2021 ($ IN THOUSANDS) REVENUES SALES REVENUES  $ 215.0 DIVIDEND REVENUE 4.0 = $219.0 EXPENSES COST OF GOODS SOLD- 122 SALARIES EXPENSE 27, DEPRECIATION EXPENSE 7, BAD DEBT EXPENSE 1.0 INTEREST EXPENSE 10.0 LOSS ON SALE OF BUIIDING 5.0 INCOME TAX EXPENSE 18.0 ------ 199.0 NET INCOME    $29 Additional information from the accounting records: a.    A building that originally cost $48,000, and which was three-fourths depreciated, was sold for $7,000. b.    The common stock of Byrd Corporation was purchased for $5,000 as a long-term investment. c.    Property was acquired by issuing a 13%, seven-year, $31,000 note payable to the seller. d.    New equipment was purchased for $18,000 cash. e.    On January 1, 2021, bonds were sold at their $26,000 face value. f.      On January 19, Dux issued a 5% stock dividend (1,000 shares). The market price of the $10 par value common stock was $14 per share at that time. g.    Cash dividends of $14,000 were paid to share at that time . h.    On November 12, 12,500 shares of common stock were repurchased as treasury stock at a cost of $8,000. Required: Prepare the statement of cash flows for Dux Company for the year ended December 31,2021. Present cash flows from operating activities by the indirect method. (Do not round your intermediate calculations. Enter your answers in thousands. Amounts to be deducted should be indicated with a minus sign.)

You have just been hired as a financial analyst for Lydex Company, a manufacturer of safety helmets. Your boss has asked you to perform a comprehensive analysis of the company’s financial statements, including comparing Lydex’s performance to its major competitors. The company’s financial statements for the last two years are as follows:

To begin your assignment you gather the following financial data and ratios that are typical of companies in Lydex Company’s industry:

2. You decide next to assess the company’s stock market performance. Assume that Lydex’s stock price at the end of this year is $76 per share and that at the end of last year it was $44. For both this year and last year, compute: (Round your "Percentage" answers to 1 decimal place and other intermediate and final answers to 2 decimal places.)

a. The earnings per share.

b. The dividend yield ratio.

c. The dividend payout ratio.

d. The price-earnings ratio.

e. The book value per share of common stock.

Marine, Inc., manufactures a product that is available in both a flexible and a rigid model. The company has made the rigid model for years; the flexible model was introduced several years ago to tap a new segment of the market. Since introduction of the flexible model, the company’s profits have steadily declined, and management has become concerned about the accuracy of its costing system. Sales of the flexible model have been increasing rapidly.

Overhead is applied to products on the basis of direct labor-hours. At the beginning of the current year, management estimated that $600,000 in overhead costs would be incurred and the company would produce and sell 1,000 units of the flexible model and 10,000 units of the regular model. The flexible model requires 2.0 hours of direct labor time per unit, and the regular model requires 1.0 hours. Direct materials and labor costs per unit are given below:

Required:   

1-a. Compute the predetermined overhead rate using direct labor-hours as the basis for allocating overhead costs to products.

1-b. Compute the unit product cost for one unit of each model.

2. An intern suggested that the company use activity-based costing to cost its products. A team was formed to investigate this idea. It came back with the recommendation that four activity cost pools be used. These cost pools and their associated activities are listed as follows:

Compute the activity rate for each of the activity cost pools.     

3-a. Using activity-based costing, determine the total amount of overhead that would be assigned to each model for the year.

3-b. Using activity-based costing, compute the unit product cost for one unit of each model.

29) What is the stoichiometric coefficient for oxygen when the following equation is balanced using the lowest whole-number coefficients? ________ C3H6O2(l) + ________ O2(g) →________ CO2(g) + ________ H2O(l) A) 5 B) 7 C) 1 D) 3 29)

30) Which of the following underlined items is not an intensive property? A) the melting point of iron metal B) the color of copper hydroxide C) the amount of gold. D) the density of argon 30)

31) Rubidium belongs to the ________ group of the periodic table. A) alkali metal B) alkaline earth metal C) halogen D) noble gas 31)

32) Chlorine belongs to the ________ group of the periodic table. A) alkali metal B) alkaline earth metal C) halogen D) noble gas 32)

33) An element has two naturally occurring isotopes. One has an abundance of 37.4% and an isotopic mass of 184.953 amu, and the other has an abundance of 62.6% and a mass of 186.956 amu. What is the atomic weight of the element? A) 185.954 amu B) 186.956 amu C) 185.702 amu D) 186.207 amu 33)

34) A piece of metal ore weighs 7.25 g. When a student places it into a graduated cylinder containing water, the liquid level rises from 21.25 mL to 25.00 mL. What is the density of the ore? A) 1.93 g/mL B) 3.21 g/mL C) 0.141 g/mL D) 0.281 g/mL 34)

4 35) How many protons (p) and neutrons (n) are in an atom of 226 88 Ra? A) 138 p, 88 n B) 88 p, 226 n C) 226 p, 88 n D) 88 p, 138 n 35)

36) 1.00 mole of O2 contains the same number of molecules as A) 0.667 mole of O3. B) 1.00 mole of CH3CO2CH2Cl. C) 2.00 mole of CH3CH2OCH2Br. D) All of these 36)

37) What is the number of moles of 5.00 × 10 22 molecules of NaBr? A) 0.083 moles B) 1.0 moles C) 1.2046 moles D) 0.037 moles 37)

) 39) Na2S is named A) sodium(II) sulfide. B) sodium disulfide. C) sodium sulfide. D) sodium sulfur. 39) 40) The factor 10-3 corresponds to which prefix? A) centi B) deci C) deka D) milli 40)

41) A sample of pure calcium fluoride with a mass of 15.0 g contains 7.70 g of calcium. How much calcium is contained in 35.0 g of calcium fluoride? A) 18.0 g B) 15.0 g C) 1.99 g D) 7.70 g

Question 12 pts

Which of the following would be a discrete variable?

Group of answer choices

Number of cans of dog food eaten

Number of inches reflecting someone’s height

Amount of soup in a can

Count of students in class

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Question 22 pts

A main characteristic of a discrete probability distribution is that ___________.

Group of answer choices

each probability is between -1 and +1

each probability is between 1 and 2

the probabilities add to 0

the probabilities add to 1

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Question 32 pts

If Sam can purchase up to 3 ice cream cones and the probabilities that he/she purchases 0, 1, 2, or 3, are 0.20, 0.45, 0.35, and 0.05 respectively, is this a valid probability distribution?

Group of answer choices

No, as they do not add to 1

Yes, as they are all positive

No, as no probability is between 0 and 1

Yes, as all are between 0 and 1

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Question 42 pts

If Alex can purchase up to 2 ice cream cones and the probabilities that he/she purchases 0, 1, or 2 are 0.10, 0.50, and 0.40, what is the mean number of cones that he/she will purchase?

Group of answer choices

0.7

1.3

1.0

1.5

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Question 52 pts

When conducting a binomial experiment, how many times will the experiment be repeated?

Group of answer choices

n

2

infinite

p(x)

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Question 62 pts

The mean of a binomial distribution is found using which of the following formulas?

Group of answer choices

p*q

n*p

q*x

p*x

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Question 72 pts

In binomial probabilities, q represents _______.

Group of answer choices

the negative probability

p-1

the probability of x

1-p

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Question 82 pts

A right skewed distribution has most of the data points to the _______ of the distribution.

Group of answer choices

left

right

top

middle

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Question 92 pts

A left skewed distribution can be described as __________.

Group of answer choices

having most data in higher values and a tail of data to the left

having most data in the lower values and a tail of the data to the right

a symmetrical distribution

having all data to the left side of the graph

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Question 102 pts

When considering if a probability distribution follows the expected distribution, we are considering the distribution’s __________.

Group of answer choices

shape

symmetry

normality

goodness of fit

QUESTION TWO

Case Study Luangwa Mineral Resources is a State Owned Enterprise (SOE) that was in past managed parastatal before being privatize after liberalization of the Zambia economy. The privatization of the firm was decided because the firm had been run down and was not performing well as expected. Further the firm accrued huge liabilities and was running losses consistently. After being privatized the new owners (majority shareholders 75%) re capitalized the firm by investing $160 million to improve operation and clear outstanding debts. The new Board of Directors brought in goods expertise and knowhow which greatly improved the way the company was managed. The company was turned around within Three years and become profitable and as a result government was able to receive its share of profits. The company remained profitable until a regime changed policy that now required government to own majority share in a bid to accrue more benefits for the state. The changes in policy meant the minority foreign investors could not control decision making within the company as now government took more control of the affairs. The Government appointed a new board and new management took over. The company in a span of four years since these changes has reached a stage where it is now failing to meet its obligations. It has accrued huge debts and has started making losses due to poor decision making regards operations. Audits reports indicated that miss application of resources to non-value adding activities, poor cash flow management, over employment and abuse of company resources and board members (Chairperson) and management staff. It was reported that in previous quarter the board had spent $1.0 million on workshops, travel allowances and meetings alone much of the money obtained through an overdraft with a local bank. This was done at the expense of procuring a critical component of the production process that only costed $150,000. Consequently production was shut down for six months. This has led to wide spread uproar in the media and among concerned stakeholders and the company’s board and corporate governance system has been questioned. Among the many expectations from stakeholders is the effectiveness of the board through composition of members, integrity and ethical values of board members and ability to critically analyses the company’s long term sustainability.

Required:

i. Discuss the objective and importance of Corporate Governance in general to the operations of an organization.

ii. Identify and discuss the Agency Problem issues in this case study that may have led to the current situation how this can be rectified.

iii. Discuss how Corporate Finance can be applied in guaranteeing the company’s long term financial sustainability while balancing wealth maximisation.