Consider the following given information, determine the 3-year moving averages that would have been used to forecast the sales (in millions) for the years subsequent to each group of three years. Determine the forecast error associated with each forecast.

Year(t) 1993／ 1994 ／1995 ／1996 ／1997 ／1998 ／1999 ／2000

Profit Y(t) 0.9 ／ 1.1 ／1.2 ／ 1.3 ／ 1.4 ／ 1.5 ／ 1.6 ／ 1.7

You may create a table with below information.

Year ／ Sales in millions ／ 3-year Moving Forecast ／ Forecast error ／ Absolute error

b) In the below table, by using the actual level of sales for 1994 of 1.1 million dollars as the “seed” forecast for 1995, determine the forecast for each annual sales amount by the method of simple exponential smoothing. First use a smoothing constant of alpha = 0.8, then use a smoothing constant of alpha = 0.2, and compare the two sets of forecasts.

Year(t) 1993 /1994 /1995 /1996 /1997 /1998 /1999 /2000

Sales in millions Y(t) 0.9 /1.1 /1.5 /1.3 /1.1 /1.7 /1.9 /2.3

the child finally admit she does not want to be a girl but feels she should be a boy. what should the nurse do?

CMS Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $545,000 is estimated to result in $97,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value of $70,000. The press also requires an initial working capital of $21,000, along with an additional $3,000 in working capital for each succeeding years of project. The tax rate is 34%, and the company's required rate of return is 11%. Should the company buy the machine?

Blue Line Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $556800 is estimated to result in $185600 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $81200. The press also requires an initial investment in spare parts inventory of $23200, along with an additional $3,480 in inventory for each succeeding year of the project. The shop’s tax rate is 23 percent and the project's required return is 10 percent.

Cambridge Analytics is considering a four-year project to improve its production efficiency. Buying a new machine press for $600,000 is estimated to result in $210,000 pretax cost savings annually. The press will be depreciated equally to zero per year and can be sold for $80,000 at the end of its life. The press also requires an initial investment in inventory of $20,000, and the level of inventory increases by $3,000 every year. Tax rate is 17% and the discount rate is 9%. Should the company undertake the project?

(do it with steps, with formula)

a) T&T Workshop is considering a four-year project to improve its production efficiency. Buying a new machine press for $560,000 is estimated to result in $210,000 in annual pre-tax cost savings. The press will be depreciated straight-line to zero over its four-year tax life. Assume the tax rate is 25 percent. Compute the operating cash flow and net present value for this new machine press. If the required return is 12 percent, should T&T Workshop buy in the new machine press?

b) Suppose the press also requires an initial investment in spare parts inventory of $20,000, and the press will have a market value of $80,000 at the end of the project. Compute the new net present value.

c) Suppose Antique Berhad is entering a four-year project and expected to enjoy improved growth in earnings and dividends when the project is completed. Last year, the company just paid a dividend of $3.40. It expects zero growth in the next year. In years 2 and 3, 15 percent growth is expected, and in year 4, 12 percent growth. In year 5 and thereafter, growth should be a constant 9 percent per year. Calculate the current share price of Antique Berhad if the required rate of return is 14 percent.

d) Discuss the relevant incremental cash flows associated with a new project. Provide relevant examples along your discussion if applicable.

Day 1. Established a company with authorized capital – 550000 AZN. Day.2 Rented an office with monthly fee
– 4000 AZN.Day 3. Hired employees: Executive manager-1700 AZN, 3 mid chain managers – each 1100 AZN, 7
sales specialists – each 700 AZN, one warehouseman – 1100 AZN. Day 5. Obtained a warehouse for keeping goods
– 15000 AZN. Day 8. Purchased 1000 units of microprocessors by the price 70 AZN per unit.Day 10. Obtained a
small truck for transportation needs – 9000 AZN.Day 12. Purchased additionally 800 units of microprocessors by
the price 100 AZN per unit and 1200 video graphic adapters by the price 150 AZN per unit. Day 16. By the decision
of procurement and sales departments additionally purchased 1200 units of microprocessors by the price 90 AZN
per unit and 800 video graphic adapters by the price 120 AZN. Day 20. The company realized 2000 units of
microprocessors and 1500 units of video graphic adapters with 65% trade surcharge. Day 24. The company received
bill for utilities – 1200 AZN. Day 30. The company paid for all expenses including sales tax (4%). For
purchase/selling operations use FIFO method. The terms of the problem: To prepare appropriate Profit and Loss
Statement regarding above mentioned operations.To prepare appropriate Cash Flow Statement regarding above
mentioned operations.To prepare appropriate Balance Sheet Statement regarding above mentioned operations.

Industrial design has been awarded a contract to design a label for a new wine produced by Lake View Winery.The company estimates that150 hours will be required to complete the project.The firm's three graphic designers available for to this project are Lisa,a senior designer and team leader; David , a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects for Lake View Winery, management has specified that Lisa must be assigned at least 40%of the total number of hours assigned to the two senior designers. To provide label -designing experience for Sarah, she must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah. must not exceed 25% of the total number of hours assigned to the two senior designers.   Due to other commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $25 for David, and $18 for Sarah.

a. Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project in order to minimize the total cost.

b. How many hours should each graphic designer be assigned to the project?

c. Suppose Lisa could be assigned more than 50 hours. What effect would this have on the optimal solution? Explain.

d. If Sarah were not required to work a minimum number of hours on this project, would the optimal solution change? Explain.

A sample of 17 books from James Patterson’s Alex Cross series had an average length of 438.47 pages, with a standard deviation of 26.14. A sample of 18 books from Lee Child’s Jack Reacher series had an average length of 505 pages with a standard deviation of 90.97 pages. Find a 90% confidence interval for the difference between the average length of an Alex Cross novel and that of a Jack Reacher novel and explain what your interval means.

a) The difference between the sample means (x̅₁ – x̅₂) =

b) The degrees of freedom (df) for this problem =

c) Value of t* =

d) SE for the confidence interval =

e) ME for the confidence interval =

f) Confidence interval =

g) Write your explanation for the confidence interval:

Suppose that Polonium decays at a rate propotional to the amount present. If a sample of

Polonium -210 decays so that there is 50 gr left after 140 days and 25 gr after 280 days, how much Polonium

did the sample have to begin with?

A balloon is rising at a constant speed 4 m/sec. A boy is cycling along a straight road at a speed

of 8 m/sec. When he passes under the balloon, it is 36 metres above him. How fast is the distance between

the boy and balloon increasing 3 seconds later?