Research suggests that which of the following relationships…

Questions

Reseаrch suggests thаt which оf the fоllоwing relаtionships exists between social support and stress?

Instructiоns: Sign the Bооth honor code in the Finаl Exаm Submission quiz. You cаn only consult your two pages of cheat sheets during the exam.  Maximum total points you can get in this exam is 40.  Points for each question are shown in brackets. It is YOUR responsibility to ensure that you have 40 points worth of questions in your exam. Exam duration = 3 hours. For problems 1–5, if a question requires analysis you must show your work for each question in order to receive credit. Partial credit is awarded for partial success on each attempted question. Please be clear in your work. It is hard to grade a sea of numbers on each page. State carefully what you know and what formulas you are going to use.     Questions: 1. [6 points] Dennis, a passionate junior software engineering student, has been interested in cryptocurrency and digital payment systems. One day, he hears from his classmates that BitLife, which is one of the biggest digital payment companies in the US, is looking for passionate students interested in app development for their cryptocurrency exchange. BitLife will send two of their employees, Alex and Lisa, to introduce the new internship program to the students at ChiBulls Career Fair. Alex will talk to students about the job description and basics. If a student is excited about the description after talking to Alex, s/he will talk to Lisa to get further information about the application process. The historical probability that a student will be interested in applying for the internship after s/he hears the job description is 60 percent.  Note that each employee can talk to one student at a time. Student arrivals to BitLife booth have exponentially distributed inter-arrival times with an average of 6 minutes. Alex, on average, can talk to 15 students about the job description per hour. His service times are exponentially distributed. Lisa can inform the interested students about the application process up to a rate of one every 8 minutes with standard deviation of 2 minutes. (a) [1] Draw a process flow diagram of this job allocation process.  (b) [2] Assuming the system is in steady state, how many students are waiting to talk to Alex, on average? (c) [3] Assuming the system is in steady state, how long does an interested student spend time at BitLife booth, on average?     2. [4 points] BitLife already employs a sizable group of software engineers in the technology development group. Technology development is a demanding job, and it has a considerable turnover rate of software engineers. Keeping a sustainable work force is a challenging task for BitLife. On average 40 software engineers leave their jobs per year with a standard deviation of 4 software engineers per year (because they have a better paying job offer elsewhere). The technology development group is a core unit for BitLife's business, and the company's policy is to ensure that the probability that having no software engineers available to work is less than 5 percent. Recruiting new software engineers is costly, since it involves both the CTO and the CEO devoting a full day of their time for interview process. The opportunity cost of these executive managers' time is 25,000 dollars per executive officer per recruiting event. In addition, the logistics of each recruiting event costs the company another 30,000 dollars. It takes 1 month to find willing software engineers, interview them, and process paper work so that they can start working. Meanwhile, it costs the company 100,000 dollars per year per software engineer for their payroll.    Using a model from class, suggest a recruiting policy for the company to meet their goal of minimizing recruitment and payroll costs, while keeping sufficient workers to meet their performance target. Your policy should detail when to initiate a recruiting event and a target for the number of software engineers to recruit on each event.     3. [3 points] Following his application in the career fair, Dennis starts working at BitLife as an intern. In their first project, Dennis and his teammates successfully complete developing the  BitWallet app. After the final presentation to the CTO of the company, the app is approved for the digital distribution platform Kiwi. The marketing department decides to open a BitLife booth in the city center for the product launch before the app is published on Kiwi. Charlie, one of the product launching strategists in the marketing department, is in charge of the BitLife booth. He decides to distribute free mini wallets to the people who come to the booth to get information about the app. The estimated number of people who will visit the booth during the day is normally distributed with a mean of 1,400 and a standard deviation 200. Each mini wallet costs BitLife 2 dollars. Excess mini wallets cannot be used for any other purposes and disposed. Given that BitLife actually bought 1,500 mini wallets, what is the cost of not providing a mini wallet to a person who visited the booth? Assume that BitLife used an appropriate model from class to determine their order quantity.     4. [4 points] In their new product convention, BitLife offers their guests several activities to experience their new product, BitWallet. One of them involves playing a simulation game. The guests go through the following procedure to play the game: All guests must sign up before the game. The lineups ahead of the host are notorious. One can see an average of 50 people waiting just to sign up. From there, guests can follow one of two paths: if they do not want to spend too much time, there is a "demo version" which involves a shorter simulation. If the guests want to take their time and enjoy the game, they play the "full version". In both versions, guests get to play the game on a designated computer just for them.  The "demo version" is equipped with 15 computers (in order to make sure guests do not spend their time waiting).  And, a computer in this path is occupied on average 60 percent of the time by a guest. Guests spend an average of 10 minutes playing the demo version game before they leave. The "full version" is also notorious for long waits. For the guests' comfort, full version game section has a large waiting area which can fit up to 120 guests, which is on average 60 percent full. An average wait before starting the game in the "full version"  is 40 minutes. In addition, guests in this version spend more time in the game, an average of 30 minutes. The computers in this version are occupied 75 percent of the time. Hint: It might be useful to draw a process flow diagram. (a) [2] On average, what percentage of guests choose the "demo version"? (b) [1] What is the average wait before signing up? (c) [1] How many more computers are there in the "full version" than the "demo version"?     5. [4 points] After his successful internship experience, Dennis receives a job offer from Robotoy which manufactures app-controlled toys. Robotoy has the opportunity to sell the limited edition toy called Panther to Hasbro for their upcoming catalogue. Due to the high set-up and shipping costs, Robotoy can supply the product only at the beginning of the season. Robotoy offers a wholesale price of 100 dollars for each unit. Forecasted demand for Panther follows a normal distribution with mean 3,000 and standard deviation 600. Hasbro will sell these toys for 250 dollars each. Any unsold toy will be donated by Hasbro to the charities. Robotoy's production cost is 50 dollars per unit. (a) [2] How much should Hasbro buy?  (b) [2] Robotoy decides to start their own retail channel in a different city and sell Panther also for 250 dollars each. At the retail store, Robotoy salvages unsold toys through a discount store for 30 dollars. Assuming that the demand distribution is the same as part (a), what is the optimal production quantity for Robotoy's retail store?     Short Answer Questions:  6. [2 points] A technology company has been offering its smart phones in a large selection of colors. Recently they decided to streamline their production and offer the smart phone only in black color. Using the terminology used in class, discuss the possible reasons for this. Also describe possible implications on revenues as well as the costs of the company. When could it be a good idea to streamline the product offerings as described? 7. [2 points] In the 1970s, Benneton changed their dying process for producing certain garments. Instead of dying cloth first and then sewing dyed cloth into garments, they sewed undyed cloth into garments which could be dyed later using sophisticated dying equipment. Explain how this new process could be used to improve the inventory performance of Benneton's garment supply chain.  8. [2 points] Explain why a capacity bottleneck of a system need not always lie on the critical path of that system. Give a concrete example of this phenomenon.        Normal Table: 

Hоw cоuld аnimаls trаvel between cоntinents post-Flood? [Select all that apply]