(High school busing problem) The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to bus a certain number of students, for several sectors of the county are beyond walking distance to a school. The superintendent               partitions the county into three geographic sectors as he attempts to establish a plan that will minimize the total         number of student miles traveled by bus. He also recognizes that if a student happens to live in a certain sector             and is assigned to the high school in that sector, there is no need to bus that student because he or she can walk               to school. The three schools are located in sectors B, C, and D.

              The following table reflects the number of high-school-age students living in each sector and the distance in               miles from each sector to each school:

              Each high school has a capacity of 500 students. Please define variables and set up the objective function and constraints of this problem using Linear Programming (LP) so that the total number of student miles traveled by bus is minimized. (5 points)

1. A researcher is testing the claim that adults consume an average of at least 1.85 cups of coffee per day. A sample of 35 adults shows a sample mean of 1.70 cups per day with a sample standard deviation of 0.4 cups per day. Test the claim at a 5% level of significance. What is your conclusion?

2. A government Bureau claims that more than 50% of U.S. tax returns were filed electronically last year. A random sample of 150 tax returns for last year contained 86 that were filed electronically. Test the Bureau's claim at a 5% level of significance. What is your conclusion? Report the p-value for this test.

3. A major automobile company claims that its New electric-powered car has an average range of more than 100 miles. A random sample of 50 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test.

   A) What would be the consequences of making a Type II error in this problem?

   B) Compute the Probability of making a Type II error if the true population means is 105 miles.

   C) What is the maximum probability of making a Type I error in this problem?

Please Note: A hypothesis test answer must contain: a Null and an Alternate Hypothesis, a computed value of the test statistic, a critical value of the test statistic, a Decision, and a Conclusion.

Keep the Old Car or Buy a Used Car
Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 160 miles per week to commute to work. With gas prices currently at $2.02 per gallon, he is considering buying a used, fuel-efficient car, and wants to know if it would be a good financial decision.

The old car Manny owns currently gets 15 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $800 per year (as long as nothing serious goes wrong).

He is considering buying a newer used car that will cost a total of $7,500 over a three-year loan process. The used car gets 27 miles per gallon and would only require an average of $10 per month for general maintenance. To help make a decision Manny wants to calculate the total costs for each scenario over three years. He decides to use the Quantitative Reasoning Process to do this.

Find the total costs (gas, maintenance/repairs, purchase price) for each scenario over the three years.

Round your answers to the nearest dollar.

Depreciation for Partial Periods

Bar Delivery Company purchased a new delivery truck for $36,000 on April 1, 2019. The truck is expected to have a service life of 10 years or 180,000 miles and a residual value of $3,000. The truck was driven 12,000 miles in 2019 and 16,000 miles in 2020. Bar computes depreciation expense to the nearest whole month.

Required:

1. Compute depreciation expense for 2019 and 2020 using the following methods: (Round your answers to the nearest dollar.)
   1. Straight-line method

      2019	$ fill in the blank 1
      2020	$ fill in the blank 2

   2. Sum-of-the-years'-digits method

      2019	$ fill in the blank 3
      2020	$ fill in the blank 4

   3. Double-declining-balance method

      2019	$ fill in the blank 5
      2020	$ fill in the blank 6

   4. Activity method

      2019	$ fill in the blank 7
      2020	$ fill in the blank 8

2. For each method, what is the book value of the machine at the end of 2019? At the end of 2020? (Round your answers to the nearest dollar.)
   1. Straight-line method

      2019	$ fill in the blank 9
      2020	$ fill in the blank 10

   2. Sum-of-the-years'-digits method

      2019	$ fill in the blank 11
      2020	$ fill in the blank 12

   3. Double-declining-balance method

      2019	$ fill in the blank 13
      2020	$ fill in the blank 14

   4. Activity method

      2019	$ fill in the blank 15
      2020	$ fill in the blank 16

Stuart Airlines is a small airline that occasionally carries overload shipments for the overnight delivery company Never-Fail, Inc. Never-Fail is a multimillion-dollar company started by Wes Never immediately after he failed to finish his first accounting course. The company’s motto is “We Never-Fail to Deliver Your Package on Time.” When Never-Fail has more freight than it can deliver, it pays Stuart to carry the excess. Stuart contracts with independent pilots to fly its planes on a per-trip basis. Stuart recently purchased an airplane that cost the company $6,375,000. The plane has an estimated useful life of 25,500,000 miles and a zero salvage value. During the first week in January, Stuart flew two trips. The first trip was a round trip flight from Chicago to San Francisco, for which Stuart paid $260 for the pilot and $210 for fuel. The second flight was a round trip from Chicago to New York. For this trip, it paid $210 for the pilot and $105 for fuel. The round trip between Chicago and San Francisco is approximately 4,600 miles and the round trip between Chicago and New York is 1,400 miles.

Required

1. Select if the costs mentioned below are direct or indirect.

2. Determine the total cost of each trip.

Total cost: Chicago to San Francisco

Chicago to NY

What is the beta for a company with a 12% expected return, while treasury bills are yielding 5% and the market risk premium is 7%?

a. 0.5

b. 1.0

c. 0.75

d. 1.5

e. 1.25

What is a) the highest possible correlation coefficient? b) The lowest? c) What does a correlation coefficient of -1.0 mean? d) What does a correlation coefficient of 0 mean? Please Show Steps.