To save money, lab usually merges blood samples for test. Samples from multiple people will be tested only once, if the result is negative (i.e. no virus, every criterion is in the normal range, etc.), then all these people tested are healthy. If the result is positive (at least one person from this batch whose blood sample is abnormal), then these samples are tested one-by-one. Suppose all samples are taken independently. If the probability that for a person to get a disease is 0.005. (5 points 2.5 for each)

a) What is the probability that the batch test with 30 people’s sample is positive?

b) What is the expected times of test with this method if 5 samples are merged? Does it save money?

Question

The towns in Kent with their corresponding x and y coordinates as well as their population are given overleaf. This data is also in an excel file that can be downloaded from Moodle under the name “Kent-Towns”.

(a) Using Excel Solver, or otherwise, establish a location in the plane, that minimises:

(i) the sum of distances to all Kent towns,

(ii) the sum of weighted distances to all Kent towns, with populations as weights,

(iii) the maximum distance to any Kent town, and

(iv) the maximum weighted distance to any Kent town.

(b) Assume from now on that facilities can only be established at the given towns, rather than anywhere in the plane.

(i) Establish at which town a single facility should be built, if the aim is to minimise the sum of distances from the facility to all Kent towns.

(ii) Having established this facility, use the ADD heuristic to find the location of a second facility. Allocate every town to its nearest facility. Explain why these two facilities are not necessarily the optimal solution to the p-facility discrete location problem (p=2). Can you find (using your own heuristic thinking) a pair of locations that gives a better result?

In your answers to the above, clearly explain how you have arrived at your results.

The distribution of weights for 12 month old baby boys in the US is approximately normal with mean 22.5 pounds and a standard deviation of 2.2 pounds. a. if a 12 month old boy weights 20.3 pounds, what weight percentile is he in approximately. b. if a 12 month old boy is in the 84th percentile in weight, estimate his weight. c. Estimate the weight of a 12 month old boy who is in the 25th percentile by weight. d. Estimate the weight of a 12 month old boy who is in the 75 percentile by weight.

"I couldn't give my boys the things their friends had, and the things I                     and their mother wanted them to have. In fact, we were poor."

Robert Jensen

age: 85

Worked 45 years in a                                                                         fabric factory

"My whole life has been pegged to the future. I tried to instill that into                   my children. None of them has followed it, unfortunately."

Tom Jensen                                                                                   Robert's son

age: 59

an accountant

"I don't believe a bit in the saying 'a penny saved is a penny earned'.                     Make megabucks, spend megabucks. I work hard to have fun."

Michael Jensen,

Tom's son

age: 27

an insurance salesman

These are real statements from a real family. Three generations of the Jensen family are all middle-class Americans, born and raised in this country. They all still live here too. Their philosophies about money, responsibility, life, and future inhabit different worlds. Write a page or so explaining those generational differences in the light of your understanding of the personal and family finance. Be clear and analytical. Express your own opinion freely because you will be judged based on how clear, organized, flowing, meaningful, convincing, and powerful your comments are.

After graduating from college, Melissa Malone landed a position with Orchard Creek, one of the finest children’s boutiques in the Boston area. Three years ago, Melissa was promoted to Assistant Buyer. Among her other responsibilities, Melissa is now the sole buyer for the Children’s Accessories Department.

Orchard Creek has successfully been selling children’s clothing over 25years. Its merchandising assortment includes classic children’s clothing, fashionable accessories, and unique gift items for infants, toddlers, boys, and girls.  Employee takes great pride in this store. The boutique, well known for its merchandise quality and exceptional customer service, has received many awards, including the “Readers’ Choice Award” and “Top Pick” for Best Children’s Clothing from local newspapers as well as regional magazine.

This fall, however, the Children’s Accessory Department is failing short of meeting its sales goal. During an October meeting with the department sales manager, the merchandise manager, and the advertising manager, Melissa was directed to examine her department’s performance. Within two days, Melissa must analyze the performance of the Children’s Accessories Department, compare it with the department’s six moth plan, calculate the department’s open-to-buy for the remainder of October, and identify feasible options for getting the department back on track.

Melissa reviewed her six-month plan for Orchard Creek’s Children’s Accessory Department, including the actual performance for August and September. She also observed the department’s current performance from October 1 through October 15. In her midmonth analysis, Melissa observed the following:

• Planned sales for October were $7,891
• Actual sales from October 1 through October 15 were $3,529
• The value merchandise on-order scheduled to arrive before the end of October is $2,749
• Planned markdown for October was 1,560
• Actual markdown taken from October 1 through October 15 was $715
• Stock on hand as of October 15 is valued at $22,160
• Planed EOM for October were $18,272
• Markup % is 61.5 %

What are at least two actions Melissa could propose to improve the sales performance of the Children’s Accessories Department?

Before investing in a foreign location, a firm must take three things into consideration: the costs, benefits, and risks (political, economic, or legal) associated with entering into a business venture there.

Imagine you are the manager of a foreign company considering an investment in your home town. What would be some of the expected costs, benefits, or risks of starting a new business where you live? How high would you rate your location on its overall attractiveness to investors?

Note that you need to validate all definitions, and matters not known as facts, by citing from credible sources.

Remember that discussion posts must be substantial and supported (using APA) adding to the conversation/discussion. Discussion Question 1.1 is worth 25 points.

HEALTHCARE ADMINISTRATION

For this week’s assignment, you will be creating a marketing tool for your practice to advertise the new vaccine clinic. You can either create a brochure to send out in the mail or posters to display around town. Consider your audience (who are you targeting?) while you create this item. Think about what would catch your eye as a customer when putting this together. You can create this tool in Word as a poster with clip art, etc. (watch copyright information), or as a brochure. Your grade will be based upon how effective your tool is at addressing the target audience, how well you catch their attention, the quality of the information you provide them, and the overall look of the tool.

Black Oil Company is trying to decide whether to lease or buy a new computer-assisted drilling system for its extraction business. Management has already determined that acquisition of the system has a positive NPV. The system costs $9.4 million and qualifies for a 25% CCA rate. The equipment will have a $975,000 salvage value in five years. Black Oil’s tax rate is 36%, and the firm can borrow at 9%. Cape Town Company has offered to lease the drilling equipment to Black Oil for payments of $2.15 million per year. Cape Town’s policy is to require its lessees to make payments at the start of the year.

What is the NAL for Black Oil Company? What is the maximum lease payment that would be acceptable to the company?

Contingency table results:
Rows: School Type
Columns: Title I (Y/N)

? = the school is an elementary school ? = the school is a Title I school

a. Find and interpret ?(?).

b. Find and interpret ?(?).

c. Are events ? and ? mutually exclusive? Explain why or why not.

d. Find and interpret ?(? ?r ?).

e. Explain the meaning of the complement of ?.

f. Find and interpret ?(?^c).