A medium-size tech company has to staff three distinct departments: Social Media Outreach (SM), Information Technology (IT), and Web Development. The fast-paced and innovative environment at the company may require an employee to be part of more than one department. The company had the following staffing requirements: 1. The total number of employees in the three departments must be exactly 40. 2. There must be exactly 16 employees in Information Technology and exactly 20 employees in Social Media Outreach. 3. No employee can work in information technology and social media outreach without also being part of web development. 4. There must be exactly 8 employees working in both social media outreach and web development. 5. Exactly 4 employees will be required to work in web development and social media outreach but not in information technology. 5. Exactly 2 employees work in information technology and web development but not in social media outreach. Complete a venn diagram using the information from the company’s staffing requirements.

A medium-size tech company has to staff three distinct departments: Social Media Outreach (SM), Information Technology (IT), and Web Development. The fast-paced and innovative environment at the company may require an employee to be part of more than one department. The company had the following staffing requirements: 1. The total number of employees in the three departments must be exactly 40. 2. There must be exactly 16 employees in Information Technology and exactly 20 employees in Social Media Outreach. 3. No employee can work in information technology and social media outreach without also being part of web development. 4. There must be exactly 8 employees working in both social media outreach and web development. 5. Exactly 4 employees will be required to work in web development and social media outreach but not in information technology. 5. Exactly 2 employees work in information technology and web development but not in social media outreach. Complete a venn diagram using the information from the company’s staffing requirements.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: cabins and 160 standard cabins, whereas a type B vessel, y, has 80 deluxe cabins and 120 standard…

Q: Formulate a spreadsheet model and solve using Solver. Determine the following: a. Optimal quantity…

A: Solution:

Q: A dietician is planning a snack package of fruit and nuts. each ounce of fruit will supply zero…

Q: Purchasing Enormous State University's Business School is buying computers. The school has two…

A: Linear programming problm with two variable x and y with two constraints.. we use graphical approach…

Q: Enormous State University's Business School is buying computers. The school has two models to choose…

A: Given: Pomegranate iZac Requirement Memory(GB) 700 1000 ≥665,000 Disk space(TB) 70 60…

Q: (b) A factory makes three types of furniture: A, B, and C. Each furniture requires the services of…

Q: Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain…

A: The Sports of all Sorts has 3 supply chain located in Detroit, Los Angeles, and Austin. The Detroit…

Q: You are in charge of purchases at the student-run used-book supply program at your college, and you…

A: Let, number of calculus texts= number of history texts= number of marketing texts =…

Q: Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero…

A: As per the question a dietician is creating a snack package that must meet certain nutritional…

Q: A company y has two categories of workers (Grade A and Grade B) in each department. In department 1,…

A: A company has two categories of workers (Grade A and Grade B) in the department. In department 1,…

Q: A department store sells three different types of televisions: small, medium, and large. The store…

A: Let be number of small, medium and large television sets.From the given information, formulate the…

Q: The Security Company in charge of rescuing visitors in the case of problems at “High Mountain…

A: Consider the provided question, Let x = number of German Shepherd Dog and y = number of Belgium…

Q: A company is considering opening warehouses in fourcities: New York, Los Angeles, Chicago, and…

Q: Mark Jakob lives in Tulsa, Oklahoma and plans to attend graduate school to earn his Ph.D. in…

A: The objective of this question is to find the minimum cost for Mark to visit all the schools and…

Q: A bicycle manufacturer makes mountain bikes and road bikes. Each mountain bike requires 2 units of…

Q: A furniture maker makes three different style of wardrobes: x, x, and x,. The manufacture of each…

A: Given: A furniture maker makes three different styles of wardrobes: x1, x2, and x3. The manufacture…

Q: A mining company owns two mines. These mines produce an ore that can be graded into two classes:…

A: First mine Second mine Minimum productionRegular grade coalLow grade coalMaximum operation time…

Q: A female bodybuilder is designing her diet leading up to a competition. To meet her macronutrient…

A: The given information can be tabulated as shown below, Egg White rice Oatmeal Availability…

Q: The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless…

A: Nursing home must house a minimum of homeless patients and no more than high-income patientsThe…

Q: Viking Oil Company has 5,000 barrels of oil 1 and 10,000 barrels of oil 2. The comany sells two…

A: Product Name Average Quality Price per Barrel Demand created for each dollar spent Gasoline At…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduce the given variables

VIEW

Step 2: Define the given points

VIEW

Step 3: Venn diagram

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 29 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B and C, are 2500, 3000 and 4500, respectively. The production and shipping details are as below: Production details: Factory Maximum capacity 1 3000 5000 3000 2 3 Shipping details (with per-unit shipping cost in dollars): Project Factory A B C 1 7 8 2 2 6 5 4 3 1 9 6 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 1050 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,900 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester?
A factory that produces hygiene materials produces hygiene packages with three different contents, namely individual, family, xl-family, from masks, disinfectants and soap products. Stocks of hygiene products vary from week to week. For this reason, the factory applies a different production schedule for each week. For example, for the next week, how many boxes of individual, family and xl-family hygiene packages can they produce and put up for sale by using 270 thousand masks, 130 thousand disinfectants and 85 thousand soaps? Use the Gaussian Seidal method to reach the solution with an error of 0.1. Let the initial values for mask, disinfectant and soap are given as 49, 19 and 4, respectively. The amount of products in the packages is given in the table.(Note: do not use the values in thousands when trading.You can take 270, 230 and 85)
A medium-size tech company has to staff three distinct departments: Social Media Outreach (SM), Information Technology (IT), and Web Development. The fast-paced and innovative environment at the company may require an employee to be part of more than one department. The company had the following staffing requirements: 1. The total number of employees in the three departments must be exactly 40. 2. There must be exactly 16 employees in Information Technology and exactly 20 employees in Social Media Outreach. 3. No employee can work in information technology and social media outreach without also being part of web development. 4. There must be exactly 8 employees working in both social media outreach and web development. 5. Exactly 4 employees will be required to work in web development and social media outreach but not in information technology. 5. Exactly 2 employees work in information technology and web development but not in social media outreach. Complete a vent diagram using the…
A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…
Astra company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? Solve this problem using graphical method and please explain the steps on how you solve it. Thank you :))
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 900 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 2 units each, and you can spare at most 1,400 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit?
14 see picture to solve