Problem 5.In a group of n people, some of them are friends with each other. a)You want to hold an event for people without any prior acquaintances, to help promotenetworking and new connections. Who would you invite? b)You want to introducea product to the group. If we know people will automatically tell their friends about the product,how would you most efficiently advertise the product? Formulate the problem using graphs, anddescribe what aspects of the graph would you use to solve the problem.

Friendship Graph with 20 PeopleStructure of the GraphNodes (People): We have 20 nodes in the graph,…

Answered: Problem 5. In a group of n people, some…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
3. Tamir has recently begun a new job of selling custom bracelets! Tamir's sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, when he sold 9 bracelets he made a $94 profit. a. Write an equation in point slope form that could model this scenario. b. Which of the following could be the graph of Tamir's profit? Explain how you know. Graph 1: Graph 2: + +
Problem: The Gerber County Paintball League has just completed its10th season. Help the league secretary finalize this year's standings by matching each team to its color, and final ranking.i. The "Night Ninjas" was ranked 1 place ahead of the green team.ii. The group that finished first is either the "Night Ninjas" or the purple team.iii. The "Splat Squad" finished first.iv. The white team was ranked somewhere behind the "Color Blinds".v. The "Color Blinds" finished third. What are the final ranks of Color Blind, Night ninjas, Splat squad, Target bomb?What are the corresponding color for the team Color Blind, Night ninjas, Splat squad, Target bomb?
Suppose that you have constructed a stem-and-leaf diagram and discover that it is only moderately useful because there are too few stems. How can you remedy the problem?
Social Night Problem 2: In the above diagram, on the left, we have some girls and on the right, we have some guys. If there is an edge between a girl and a guy, it means both of them are attracted to each other. Yes, a person can have multiple crushes. In this scenario, what is the maximum number of couples that can result from the above diagram given that nobody wants to end up with someone they don't like? A person would rather stay single than end up with someone they don't like. What matching algorithm are you using for this problem? Show each step of your algorithm precisely.
Problem: The Gerber County Paintball League has just completed its 10th season. Help the league secretary finalize this year's standings by matching each team to its color, and final ranking.i. The "Night Ninjas" was ranked 1 place ahead of the green team.ii. The group that finished first is either the "Night Ninjas" or the purple team. iii. The "Splat Squad" finished first.iv. The white team was ranked somewhere behind the "Color Blinds".v. The "Color Blinds" finished third. Which is the first, second, third, and fourth in rank? What is the corresponding color of each team?
Consider there are only two computer companies in a country. The companies are named “Dude” and “Imac”. Each year, company Dude keeps 1/5th of its customers, while the rest switch to Imac. Each year, Imac keeps 1/3rd of its customers, while the rest switch to Dude. If in 2002, Dude has 1/6th of the market and Imac has 5/6th of the market, what is the distribution of the market share between the two companies in 2003. (Hint: you can cast this as a matrix multiplication problem)
2. (a) Is it possible to have a forest with 13 vertices and 10 edges? (b) Is it possible to have an orchard with 13 vertices and 10 edges?
It describes a scenario in which a math teacher named Matt allows his students to use a 1-page reference sheet during exams, and compares the effectiveness of this method to a colleague's method of providing a pre-made reference sheet for students.
This question is from the textbook and I had raised a request as the graph was not visible in your solution. The Cambridge Study in Delinquent Development was under-taken in north London to investigate the links between criminal behavior in young men and the socioeconomic factors of their upbringing. A cohort of 395 boys was followed for about 20 years, starting at the age of 8 or 9. The following table shows the total number of criminal convictions by the boys between the start and end of the study. Number of convictions Frequency 0 265 1 49 2 21 3 19 4 10 5 10 6 2 7 2 8 4 9 2 10 1 11 4 12 3 13 1 14 2 a) Display the frequency distribution in a graph. Which type of graph is most appropriate? (b) Describe the shape of the frequency distribution. Is it skewed or is it symmetric? If skewed, is it positively skewed or negatively skewed? Is it unimodal or bimodal? Are there outliers in the…
In 2011 the United States federal government decided that all businesses must pay their employees a minimum wage of $7.25 per hour. However, state governments could decide that businesses in their states should pay their employees more than the $7.25 per hour. Below is a graph of hourly minimum wage requirements for five states. Use the information provided in the graph to decide which of the following statements is NOT TRUE! New York's hourly wage requirement is about the same as the federal minimum wage requirement. The hourly wage in Ohio is more than $1 above the hourly wage in Minnesota. Oregon has the highest hourly wage requirement at over $8.00 per hour. The hourly wage in New York is more than double the hourly wage in Georgia.
Solve the following problems. Write your solutions clearly and in detail in a short bond paper or yellow paper. Name: Instructions. Answer each item in the spaces provided for each item. 1. The Metrovision Cable Company just received approval to begin providing cable television service to a suburb of Memphis, Tennessee. The nodes of the following network show the distribution points that must be reached by the company's primary cable lines. The [edges] of the network show the number of miles between the distribution points. Determine the minimum spanning tree solution that will enable the company to reach all distribution points within the minimum length of the primary cable line. Compute the total cost, under the assumption that each mile of cable costs $100 to build using Prim's Algorithm. 4

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