In Taiwan, no one goes to work, and everyone consumes a single good (food), which is imported from another place and can be purchased (one meal at a time) from the nearest vending machine. Alternatively, food can be delivered by a distant catapult, capable of flinging a meal through a customer's window. The price of a delivered catapult meal is $8 and the price of a vending-machine meal is $2. The travel cost for consumers is $1 per roundtrip mile ($0.5 per mile traveled).

a. How many miles would the market area (i.e. maximum miles to be traveled for vending) for the vending machine be?

b. Show your answer in a martini shaped glass, indicating the slope of the glass’ arms, price of food at vending machine, and the radius of the city. (Label your axes)

c. Now assume that everyone owns a bike, which reduces the travel cost to $0.2 per round-trip mile. What would the new market area be for the vending machine?

d. Continue from part c above (everyone owns a bike still). Assume that a new vending machine replaces the old one, now allowing customers to purchase 2 meals at a time (meals are storable at no cost). How would that affect (if any) the market area of the vending machine?

e. Continue from part d above, and assume that everyone eats 2 meals per day in this town, and a month is 30 days long. What would the monthly rent difference be for a residence located 5 miles v. 10 miles away from the vending machine? (Hint: a single daily trip to the vending machine is sufficient).

Question 2 (15 Marks. Suggested word limit 1,000 words) Elvis had a birthday party at his home, in Katoomba, New South Wales. One of his guests, Jennifer, is a florist. Elvis has 3 large vases that he would like filled with a variety of Australian wildflowers. He asks Jennifer if she can help him by getting flowers for his large vases. Jennifer is new to town and trying to build business relationships so she is eager to help. Jennifer agrees to help Elvis the first thing the next day. They do not discuss fees. Jennifer arrived at 8am the next day and she filled up the first vase with flowers. Then Elvis arranged them. They looked great. Jennifer was impressed at his flair with colours and arranging flowers. Jennifer didn’t have enough flowers for 2 more vases. She left and promised to return the next day. Overnight, Jennifer emailed Elvis and said that the fee for filling the vases would be $150 per vase. Elvis emailed her back with "No worries - see you tomorrow." Jennifer returned with more flowers and completed filling the other two vases with flowers. The following day, Jennifer sent Elvis an invoice for $450: Made up of $150 for each bunch of flowers for each of the 3 vases. Elvis seeks your advice on the legal issues. a) Briefly explain what a contract is and how a contract is formed. b) When was the contract formed between Elvis and Jennifer? c) What are the basic terms of the contract between Elvis and Jennifer? d) How much is Elvis contractually obliged to pay Jennifer?

Joan and Valerie’s Art Gallery is losing business as the local people are all moving out because the local town factory is closing. As a result, the company’s earnings and dividends are declining at a constant rate of 5% per year. The most recent dividend, paid yesterday, was $5 and investors require a rate of return of 15%

-What is the is the expected per share value of the stock today?

-If the current market price was $5 per share, would you buy it or short it?

-If the current market price was $15 per share, would you buy it or short it?

Suppose you tell a financial advisory client that their portfolio experienced a positive Alpha of 2.4%. The market as a whole returned 12%. A rational response of your client would be:

Select one:

a. Well done. You beat the market on a risk adjusted basis for this period.

b. I will not settle for a 2.4% return when the stock market is doing so well.

c. I would need more information to decide if you did well or not.

d. Can you feed my Poodle when I am out of town next week?

UML Diagrams

Osceola Auto Parts

Osceola Auto Parts is an independent auto parts dealer that sells auto parts, runs tests on customers’ cars,and delivers parts and tools to mechanic shops around town.

Tasks

1. Identify possible actors and use cases involved in Osceola’s business functions.

2. Using dia, create a use case diagram for Osceola’s operations.

3. Select one of the use cases and create a class diagram.

4. Using dia, create a sequence diagram for the use case you selected.

7. Tennis Town can manufacture tennis rackets for $39.75 each in variable raw material costs and $30.35 per racket in variable labor expense. The rackets sell for $180 each. Last year, production was 100,000 rackets. Fixed costs were $1,100,000. What were total production costs? What is the marginal cost per pair? What is the average cost? If the company is considering a one-time order for an extra 10,000, what is the minimum acceptable total revenue from the order. (10 Points)

Use excel and excel formulas

4. Which sampling technique you would use for each of the following experiments. Explain your reasoning.
a. A scientist is interested in the amount of lead in drinking water of a small town.



b. A botanist is interested in the height of pine trees in a large forest.



c. A sociologist wants to estimate the number of people in Minnesota without health insurance.



d. A student wants to estimate the speed of vehicles passing by a mile post in a rural road for an assignment due next day.



e. A teacher is interested in NWEA math scores of Grade 10 students in Minnesota\

A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 15,359 children.

a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of 15,359 children.

b. Using the unrounded mean from part ​(a​) ,find the probability that the number of tumor cases in a group of 15,359 children is 0 or 1.

c. What is the probability of more than one​ case?

d. Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?

A city government is considering two types of town-dump sanitary systems. Design A requires an initial outlay of $260,000 with annual operating and maintenance costs of $48,000 for the next 17 years. Design B calls for an investment of $160,000 with annual operating and maintenance costs of $67,000 per year for the next 17 years. Fee collections from the residents for both designs would be $75,000 per year. The interest rate is 5%, and no salvage value is associated with either system. In order to determine which system should be selected, calculate the incremental profitability index.