MAT 540 Quiz 1 Essay

Which of the following is protocol used to enable communication securely between points on a Virtual Private Network (VPN)?

23 < 110 yes, the truck will hold at least 51 refrigerators and 176 TVs

“All the cells take in and use nutrients and other substances from their surroundings. Cells of the intestine and the kidney are specialized to carry out absorption. Cells of the kidney tubules reabsorb fluids and synthesize proteins. Intestinal epithelial cells reabsorb fluids and synthesize protein enzymes” (McCance & Huether, pg. 2).

The area under a normal curve with mu = 35 and sigma = 7 is 0, 1, or 2?

Assume that next year management wants the company to earn a minimum profit of $162,000. How many units be sold to meet this target profit figure? [3 points]

1. The local Mastermind store sells innovative educational toys. Part of their service is giving advice to customers about the best toys for a particular age group, which requires having more customer service representatives in the store. During the month long Christmas buying season, it makes half of its $500,000 yearly sales. Its contribution margin on average is 40% and its fixed costs for the year are about $150,000. The owner believes that she could make even higher sales, if she had more customer service representatives on the floor during the peak season. She plans on hiring four more people for 200 hours each at $20 per hour. How much additional revenue does she have earn to the nearest dollar

| a) Crash cost of A = (600-300)/(5-3) = $150; Crash Cost of B = (450-250)/(3-2) = $200; Crash Cost of C = (500-400)/(6-4) = $50; Crash Cost of D = (400-150)/(5-3) = $125 b) As per the above schedule, the activities on the

Brazoria County, Tx is located just south of Harris county, extending from Houston to the Gulf of Mexico. It includes the cities of Pearland, Manvel, Alvin, Angleton, Sweeny, Lake Jackson, and Freeport. Of these, Angleton is the county seat, but Pearland has the greatest population (City-data.com, 2015). As of 2012, Brazoria County contained a population of 77% urban and 23% rural (City-data.com, 2015). Of the residents of Brazoria County, 63% are between the ages of 18 and 64 (United States Census Bureau, 2010). The leading causes of death for the county are heart disease, cancer, motor vehicle accidents, diabetes, and

Daily profit is quite good at about $329, but note that the standard deviation is large by comparison at about $794. Gerald can thus expect to experience a lot of volatility in his profits.

Nestled in Southern Indiana just west of Louisville, Kentucky and south of Indianapolis, Indiana is Dubois County, Indiana. Dubois County is comprised of the towns of Birdseye, Ferdinand, Holland, Huntingburg and Jasper. Of those towns, Jasper is the largest and is the county seat (Kelly School of Business, 2014). Over fifty-two percent of the population consists of adults ranging from 25-64 years of age (Kelly School of Business, 2014). The leading cause of mortality in this county is heart disease, cancer, suicide and injuries (Memorial Hospital and Health Care Center &amp; Dubois County Health Department, 2011).

9. Flip a coin 25 times and keep track of the results. What is the experimental probability of landing on tails? What is the theoretical probability of landing on heads or tails?

Breakeven Analysis for Product Tylenol Approach 1 - Same price as Tylenol Approach 2a - Cheaper than Tylenol Approach 2b - Cheaper w/lowered trade cost $ $ $ $ Unit Cost (Variable Cost) 0.60 0.60 0.60 0.60 Trade Cost (Selling Price to Retailers) $ 1.69 $ 1.69 $ 1.05 $ 0.70 Fixed Cost (Advertising) 2,000,000 6,000,000 6,000,000 6,000,000 Break-Even Quantity [Fixed Cost/(Trade Cost-Unit Cost)] 1,834,862 5,504,587 13,333,333 60,000,000 Contribution Margin (Unit) 64% 64% 43% 14%

To reposition its water as a premium product, Healthy Spring will require an increase in its advertising and promotion budget of $900 daily. What is the maximum sales loss that Healthy Spring could tolerate before a 20% price increase would fail to increase its net profit? (That is, what is the breakeven sales change, including the incremental fixed cost of the advertising campaign?)

When price is $20.6, the quantity is 1,242,425 and profit is $101, we come near to break even point.

For statisticians, conditional probability is everywhere. They will strictly define the events before computing the conditional probability and use the properties or Bayes’ theorem to find the conditional probability.