Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and pre-preview ads before the movie starts. Many complain that the time devoted to previews is too long.† A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 6 minutes. Use that as a planning value for the standard deviation in answering the following questions. (Round your answers up to the nearest whole number.)

(a)

If we want to estimate the population mean time for previews at movie theaters with a margin of error of 105 seconds, what sample size should be used? Assume 95% confidence.

(b)

If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

-You may need to use the appropriate appendix table or technology to answer this question.

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 10? Assume that the population standard deviation is 50. (Round your answer up to the nearest whole number.)

a) The 10 members of the committee have to choose one president and two vice presidents (these have to be three different people). In how many ways can they choose these officers? (Note: here is no distinction between the two vice presidents; there is not a “first” VP and a “second” VP).

b) Three couples go to a movie theater. They sit in consecutive seats such that each couple is seating together, that is each person is seating next to his/her partner. If there are 6 seats available, in how many ways can they sit?

c) A university wants to assign a three digit number to each classroom of a new building. They can use the digits {1,2,3,4,5} but they cannot use any digit more than once. How many classroom numbers can they assign if the numbers have to be less than 250?

d) The University wants to select 4 students for a feedback survey. They want all four students from either Prof. X’s section or Prof. Y’s section. Prof. X has 40 students in his class and Prof. Y has 30 students in his class. How many selections are possible?

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of ​$129.00. Assume the population standard deviation is ​$16.60.

Interpret the results. Choose the correct answer below.

A. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is narrower than the​ 90%.

B. With​ 90% confidence, it can be said that the sample mean price lies in the first interval. With​ 95% confidence, it can be said that the sample mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

C. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

A new product is being evaluated. Market research has surveyed the potential market for this product and believes that it will generate a total demand of 50,000 units at average price of $280. Total sots for the various value-chain functions using existing process technology are:

Management has a target profit percentage of 40% of sales. Production engineering indicates that a new process technology can reduce the manufacturing cost by 40% but it will cost $150,000.

1. Assuming the existing process technology is used, should the new product be releases to production?

The unit target cost is $X. The expected average unit cost if the new product is release to production would be $X. The new product Should/Should not be released to production because the expected average unity cost is greater than/less than the unit target cost.

2. Assuming the new process technology is purchased, should the new product be released to production?

First calculate the total cost savings if the new process technology is purchased.

The total cost savings will be $X.

If the new process technology is purchased, the expected average unity cost will be $X. The new product should/should not be released to production because the expected average unit cost is greater than/less than the unit target cost.

Kate, a real estate developer, is planning construction of a major office high rise in downtown Austin. Her architectural engineering firm suggests she install improved curtain wall with high efficiency windows and seals. Doing so will cost her an additional $3/sf of curtain wall and she expects to have 200,000 sf of exterior wall. If she does so, she will be able to install a smaller mechanical system that will be $400,000 less than the original planed system. The energy savings are difficult to model, but she expects to save about $50,000/year in today’s costs. Assume the study period is 20 years and there is no salvage value to the mechanical system. Part a) Draw the cash flow diagram for this investment. Be sure to label each item as current or constant dollars. Part b) Solve for the expected LCC for this alternative. Assume the real rate is 5% and nominal rate is 8%.

In 2021, the Westgate Construction company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2023. Information related to the contract is as follows.

5. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

3.8 Bright Horizons Skilled Nursing Facility, an investor-owned company, constructed a new building to replace its outdated facility. The new building was completed on January 1, 2015, and Bright Horizons began recording depreciation immediately. The total cost of the new facility was $18,000,000, comprising (a) $10 million in construction costs and (b) $8 million for the land. Bright Horizons estimated that the new facility would have a useful life of 20 years. The salvage value of the building at the end of its useful life was estimated to be $1,500,000. a. Using the straight-line method of depreciation, calculate annual depreciation expense on the new facility b.Assuming a 40 percent income tax rate, how much did Bright Horizons save in income taxes for the year ended December 31, 2015, as a result of the depreciation recorded on the new facility (i.e., what was the depreciation shield)? c.Does the depreciation shield result in cash or noncash savings for Bright Horizons? Explain.

3.8 Bright Horizons Skilled Nursing Facility, an investor-owned company, constructed a new building to replace its outdated facility. The new building was completed on January 1, 2015, and Bright Horizons began recording depreciation immediately. The total cost of the new facility was $18,000,000, comprising (a) $10 million in construction costs and (b) $8 million for the land. Bright Horizons estimated that the new facility would have a useful life of 20 years. The salvage value of the building at the end of its useful life was estimated to be $1,500,000.

Using the straight-line method of depreciation, calculate annual depreciation expense on the new facility

Assuming a 40 percent income tax rate, how much did Bright Horizons save in income taxes for the year ended December 31, 2015, as a result of the depreciation recorded on the new facility (i.e., what was the depreciation shield)?

Does the depreciation shield result in cash or noncash savings for Bright Horizons? Explain.

For each item below, indicate how Starr Company would record it by placing the amount in the proper column.

1. Paid $100,000 for land to be used as a factory site. The company also incurred legal costs of $15,000 in connection with the purchase.

2. Paid $50,000 to clear an existing building from the property and received $12,000 for salvaged materials.

3. Cleared the land at a cost of $20,000.

4. Paid $25,000 to an architect for the factory plans.

5. Paid $3,000,000 to a contractor to build the factory. Paid $15,000 for insurance during construction period and $12,000 for insurance for first year of operations.

6. Paid $26,000 to pave parking lot. Estimated life of 20 years.

7. Paid $600,000 for manufacturing equipment, paid $6,000 for transportation costs and $5,000 for installation. Paid $500 to repair equipment that was dropped during installation.