PART A. The following data apply to questions 1-4

Billy Stone, Inc., budgets the following amounts for its Buildings & Grounds and Computer Services Departments in servicing each other and the two manufacturing divisions of Signs and Mailers:

Actual cost data for each department are:

Total fixed costs allocated from Buildings & Grounds to the Signs Department, using the preferred allocation basis, by the direct allocation method are

a.   $37,500.                     

b.   $33,333.                                       

c.   $30,000.                     

d.   $25,000.

e.     none of the above

Total variable costs allocated from Computer Services and Building & Grounds to Mailers Department, using the preferred allocation basis, by the step-down allocation method (begin with Building & Grounds) are

a.   $8,400.                                         

b.   $12,000.                                       

c.   $16,000.                     

d.   $25,235.

e.     none of the above

The equation to determine the total variable costs of Computer Services using the preferred allocation basis, for the reciprocal allocation method is

CS = $21,000 + 0.25 B&G.                                        

CS = $21,000 + 0.20 B&G.    

CS = $21,000 + 0.15 B&G.

CS = $21,000 + 0.10 B&G.

Based on the reciprocal allocation method, determine the total variable costs allocated to SIGNS using the preferred allocation basis.

PLEASE SHOW WORK

A city in Ohio is considering replacing its fleet of gasoline powered cars with electric cars. The manufacturer of the electric cars claims that this municipality will experience significant cost savings over the life of the fleet if it chooses to pursue this conversion. If the manufacturer is correct, the city will save about $1.5 million. If the new technology employed within the electric cars is faulty as some critics suggest, it will cost the city $675,000. A third possibility is that less serious problems will arise and the city will break even in the conversion. A consultant hired by the city estimates the probabilities of these three outcomes are 0.30, 0.30, and 0.40, respectively. The city has an opportunity to implement a pilot program that would indicate the potential cost or savings resulting from the switch to electric cars. The pilot program involves renting a small number of electric cars for three months and running them under typical conditions. This program would cost the city $75,000. The city’s consultant believes that the results of the pilot program would be significant but not conclusive. She submits the following compilation of probabilities based on the experience of other cities to support her contention.

For example, the first column of her table indicates that given that the conversion to electric cars actually results in a savings, the conditional probabilities that the pilot program will indicate that the city saves money, loses money, and breaks even are 0.6, 0.1, and 0.3. What actions should the city take to maximize its expected savings?

Solve with Decision Tree clearly in Excel

The International Space Station, which has a mass of 4.48{\times}10^54.48×10 ?5 ?? kg, orbits 250 miles above the Earth's surface, and completes one orbit every 87.3 minutes. What is the kinetic energy of the International Space Station? (Note: don't forget to take into account the radius of the Earth!) (I got 57.2. I don't know where I went wrong haha!)

A 0.957 kg object with an initial velocity of 1.6 m/s is accelerated by a constant force of 9.5 N over a distance of 1.25 m. Use energy to determine the final velocity of the object. (this is a good opportunity to double check your answer using Newton's Laws and kinematic equations.)

**Government activities may be less “profitable” than they appear**

A city prepares its budget in traditional format, classifying expenditures by fund and object. In 2010, amid considerable controversy, the city authorized the sale of $20 million in bonds to finance construction of a new sports and special events arena. Critics charged that, contrary to the predictions of arena proponents, the arena could not be fiscally self‐sustaining. Five years later, the arena was completed and began to be used. After its first year of operations, its general managers submitted the following condensed statement of revenues and expenses (in millions):

At the city council meeting, when the report was submitted, the council member who had championed the center glowingly boasted that his prophecy was proving correct; the arena was “profitable.” Assume that the following information came to your attention:

• The arena is accounted for in a separate enterprise fund.

• The arena increased the number of overnight visitors to the city. City administrators and economists calculated that the additional visitors generated approximately $0.1 million in hotel occupancy tax revenues. These taxes are dedicated to promoting tourism in the city. In addition, they estimated that the ticket and concession sales, plus the economic activity generated by the arena, increased general sales tax revenues by $0.4 million.

• The city had to improve roads, highways, and utilities in the area surrounding the arena. These improvements, which cost $6 million, were financed with general obligation debt (not reported in the enterprise fund). Principal and interest on the debt, paid out of general funds, were $0.5 million. The cost of maintaining the facilities was approximately $0.1 million.

• On evenings when events were held in the arena, the city had to increase police protection in the arena’s neighborhood. Whereas the arena compensated the police department for police officers who served within the arena itself, those who patrolled outside were paid out of police department funds. The police department estimated its additional costs at $0.1 million.

• The city provided various administrative services (including legal, accounting, and personnel) to the arena at no charge at an estimated cost of $0.1 million.

• The city estimates the cost of additional sanitation, fire, and medical services due to events at the center to be approximately $0.2 million.

1. Would you agree with the council member that the arena was fiscally self‐sustaining?

2. In which funds would the additional revenues and expenditures be budgeted and accounted for?

3. Comment on the limitations of both the traditional object classification budget and fund accounting system in assessing the economic costs and benefits of a project—such as the sports and special events arena.

4. What changes in the city’s budgeting and accounting structure would overcome these limitations? What additional problems might these changes cause?

Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 77 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 82% of all cars travel at least how fast on the freeway? mph.

I am trying to create a function in JAVA that takes in an ArrayList and sorts the values by their distance in miles in increasing order. So the closest (or lowest) value would be first.

It does not need to output the values in anyway, but it should return them so they can be output elsewhere.

Please try to use the stub class below.

The code for the main class is not necessary. I am only really asking for the formula code to sortByDistance. I do not want anything else.

public ArrayList sortByDistance(boolean increasing) {
       // can sort by distance increasing (true) or decreasing (false)
       return null;
   }

We wish to see if, on average, traffic is moving at the posted speed limit of 65 miles per hour along a certain stretch of Interstate 70. On each of four randomly selected days, a randomly selected car is timed and the speed of the car is recorded. The observed sample mean speed is 70 mph and the sample standard deviation is 4.08 mph. Assume that speeds are normally distributed with mean μ. Which of the following is the 95% confidence interval for μ, the population mean speed on the stretch of Interstate 70.

Question 11 options:

(66.00, 74.00)

(66.75, 73.25)

(63.51, 76.49)

(67.96, 72.04)

1. The ultimate BOD of a river just below a sewage outfall is 55.0 mg/L, and the DO is at a saturation value of 12.0 mg/L. The deoxygenation rate coefficient kd is 0.30/day, and the reaction rate coefficient kr is 0.90/day. The river is flowing at the speed if 52.0 miles per day. The only source of BOD on this river is this single outfall.

   1. Find the critical distance downstream at which DO is a minimum.

   2. Find the minimum DO.

   3. If a wastewater treatment plant is to be built, what fraction of the BOD would have

      to be removed from the sewage to assure a minimum of 5.0 mg/L everywhere

      downstream?