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: + +
Please Help me with this Problem. An event-management company offers services to enclose rectangular gardens on open lawns and decorate them for the purpose of arranging events. They want to fence off the garden with flower fencing with following features:1. Area of garden is given by the client and is denoted by A.2. Two opposite sides will use one kind of fencing while the other two opposite sides will useanother kind of fencing.3. One fence type costs Rs. 15/- per foot while the other fence type costs Rs. 25/- per foot.4 One-fourth of length on one side should be open for the purpose of gate for entrance where no fencing is being used You are required to provide a solution or MATLAB codethat will calculate the cost of the cheapest fencing for enclosing the gardens for any area A that is given to it.
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?
Solve the following problems using Venn Diagrams.Of the 100 students enrolled in a business program, 52 take statistics. There are 60 femalestudents; 45 of them take accounting, 30 take statistics, and 20 take both. Among malestudents, 32 take accounting and 18 take both accounting and statistics.a. What is the number of FEMALE students NOT taking accounting ORstatistics?b. What is the number of MALE students taking statistics only?c. What is the number of students taking accounting only?d. What is the number of students NOT taking accounting OR statistics?
4. In a study of modeling, one group of 20 children saw an adult acting aggres- sively on videotape. Another group of 20 children saw the same adult acting aggressively in real life. Later, each child was placed in a room where he or she was given the opportunity to behave aggressively toward a Bobo doll (a humanlike dummy). The researchers recorded the number of aggressive acts toward the Bobo doll by each child in a 15-minute period. Here are the results: Real-Life Model Video Model X f f 37 1 25 1 35 23 3 34 3 22 30 21 5 27 4 19 4 22 18 19 17 18 3 10 Compare the two groups in terms of the aggressiveness displayed. If you re- ject the null hypothesis, tell what it means in the context of the problem. 1 5. A group of 10 navy pilots iş first trainod
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)
The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year.
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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