The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 30 63 78 69 240 50 or older 40 64 72 84 260

Q1: How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:

(a) Make a stem-and-leaf display for these data. (Use the tens digit as the stem and the ones digit as the leaf.)

stem leaf

4 = ?

5 = ?

6 = ?

7 = ?

8 = ?

9 = ?

Q2: A data set with whole numbers has a low value of 20 and a high value of 96.

Find the class width for a frequency table with seven classes.
Answer: 11  

Find the class limits for a frequency table with seven classes.

7. Stebbins decided that the populations of the Ensatina complex are one species because he believed that even though the more southerly populations appear to be pretty distinct, they are still connected genetically via the ring of populations connect these species. If this is the case, hypothesize events that could foster the southerly populations in becoming distinct species.

8.Create a cladogram/phylogenetic tree for the seven subspecies of Ensatina salamanders. Use the third name of the subspecies to label the separate end points.

I just need to understand Question 1 and 2. I just wanted to make sure I did the revenue management right.

Freedom Airlines recently started operations in the Southwest. The airline owns two airplanes, one based in Phoenix and the other in Denver. Each airplane has a coach section with 140 seats available. Each afternoon, the Phoenix based airplane flies to San Francisco with stopovers in Las Vegas and in San Diego. The Denver-based airplane also flies to San Francisco with stopovers in Las Vegas and in San Diego. Each airplane returns to its home-base with no stopovers.

Freedom Airlines uses two coach-fare classes: A discount fare (A) and a full fare (B). Discount fares are available with a 21-day advance purchase. Full fares applied at any time, up to the time of the flight.

Below is the daily fare and demand data for 16 selected Freedom Airline itineraries. Itineraries 1 through 6 apply to the Phoenix based airplane (leg 1); itineraries 7 through 12 apply to the Denver based airplane (leg 2); itineraries 13 and 14 apply to the Phoenix based airplane (leg 3); itineraries 15 and 16 apply to the Denver based airplane (leg 4):

1. Develop a revenue management (maximizing) model based on the information given in the scenario.
2. How many seats should be allocated to each of the 16 itineraries to maximize revenue?

I just need to understand Question 1 and 2. I just wanted to make sure I did the revenue management right.

Freedom Airlines recently started operations in the Southwest. The airline owns two airplanes, one based in Phoenix and the other in Denver. Each airplane has a coach section with 140 seats available. Each afternoon, the Phoenix based airplane flies to San Francisco with stopovers in Las Vegas and in San Diego. The Denver-based airplane also flies to San Francisco with stopovers in Las Vegas and in San Diego. Each airplane returns to its home-base with no stopovers.

Freedom Airlines uses two coach-fare classes: A discount fare (A) and a full fare (B). Discount fares are available with a 21-day advance purchase. Full fares applied at any time, up to the time of the flight.

Below is the daily fare and demand data for 16 selected Freedom Airline itineraries. Itineraries 1 through 6 apply to the Phoenix based airplane (leg 1); itineraries 7 through 12 apply to the Denver based airplane (leg 2); itineraries 13 and 14 apply to the Phoenix based airplane (leg 3); itineraries 15 and 16 apply to the Denver based airplane (leg 4):

1. Develop a revenue management (maximizing) model based on the information given in the scenario.
2. How many seats should be allocated to each of the 16 itineraries to maximize revenue?

A group of 500 unicorns have magically appeared at Griffith Park. Researchers have speculated social distancing restrictions have enabled them to grace our lands. Interestingly, the genetic makeup of unicorns is unlike that of humans. They are triploid species, meaning that 3 alleles make up a given genotype. Researchers have observed variation in their coat colors with 40 unicorns having red coats (WWw), 250 white coats (www), 110 black coats (WWW), and 100 blue coats (wwW).

A. Calculate the genotype frequency for each given genotype: WWw, www, WWW, and wwW.

B. Calculate the allele frequency for each given allele: W and w.

C. Fast forward 50 years into the future, a new generation of unicorns have emerged with a total of 150. Researchers make the following observation: 5 red coats (WWw), 130 white coats (www), 7 black coats (WWW), and 8 blue coats (wwW). Compare this generation to the parent generation. Is the new generation of unicorns undergoing Hardy Weinberg Equilibrium? If not, list at least 2 evolutionary forces that may have occurred.

A benzene/toluene liquid mixture consisting of 31 mole% benzene is fed to a reboiler, where 1250 KW of heat is provided causing the mixture to partially vaporize. The vapor output has a flowrate of 80 kmol/hr and consists of 40 mole% benzene. The liquid output has a flowrate of 100 kmol/hr. The two output streams are in equilibrium and exit the reboiler at 130 oC. Determine the temperature of the feed stream. Neglect the effect of pressure and consider the following additional data:

Consider the following two projects, and assume a company's cost of capital is 15 percent. Find the IRR and NPV of each project. Which projects add value to the company? If the company can choose only a single project, which project should it choose? Please show through excel sheets and equations.

Cain Components manufactures and distributes various plumbing products used in homes and other buildings. Over time, the production staff has noticed that products they considered easy to make were difficult to sell at margins considered reasonable, while products that seemed to take a lot of staff time were selling well despite recent price increases. A summer intern has suggested that the cost system might be providing misleading information.

The controller decided that a good summer project for the intern would be to develop, in one self-contained area of the plant, an alternative cost system with which to compare the current system. The intern identified the following cost pools and, after discussion with some plant personnel, appropriate cost drivers for each pool. There were:

In this particular area, Cain produces two of its many products: Standard and Deluxe. The following are data for production for the latest full year of operations.

Required:

a. The current cost accounting system charges overhead to products based on machine-hours. What unit product costs will be reported for the two products if the current cost system continues to be used?(Do not round intermediate calculations and round "Unit cost" answers to 2 decimal places.)

b. The intern suggests an ABC system using the cost drivers identified above. What unit product costs will be reported for the two products if the ABC system is used?(Do not round intermediate calculations and round "Unit cost" answers to 2 decimal places.)

Two judges rate 10 contestant in a beauty contest.Test the hypothesis that the ratings are independent of one another versus the alternative that the judges tend to agree in th judgment. ( at 5% level of significance)

A B C D E F G H I J

Judge 1 1 2 3 4 5 6 7 8 9 10

Judge 2 2 3 1 4 6 5 9 10 8 7