5) A building in an apartment complex is to be built using a new modular technique. The arrangement of apartments on any floor will be chosen from one of three floor plans. The floorplan for Plan A has 4 three- bedroom units, 4 two-bedroom units, and 8 one-bedroom units. Each floor of plan B includes 3 three-bedroom units, 7 two-bedroom units, and 8 one-bedroom units. Each floor of plan C includes 5 three-bedroom units, 3 two-bedroom units, and 9 one-bedroom units. Suppose the building contains a total of x, floors of plan A, x2 floors of plan B, and x3 floors of plan C. 4 a) What does the vector xX1| 4 represent? 8 b) Write a linear combination of vectors that expresses the total numbers of three-, two-, and one-bedroom apartments contained in the building. c) Is it possible to design the building with exactly 66 three-bedroom units, 74 two-bedroom units, and 136 one- bedroom units? If so, is there more than one way to do it? Explain your answer.

5) A building in an apartment complex is to be built using a new modular technique. The arrangement of apartments on any floor will be chosen from one of three floor plans. The floorplan for Plan A has 4 three- bedroom units, 4 two-bedroom units, and 8 one-bedroom units. Each floor of plan B includes 3 three-bedroom units, 7 two-bedroom units, and 8 one-bedroom units. Each floor of plan C includes 5 three-bedroom units, 3 two-bedroom units, and 9 one-bedroom units. Suppose the building contains a total of x, floors of plan A, x2 floors of plan B, and x3 floors of plan C. 4 a) What does the vector xX1| 4 represent? 8 b) Write a linear combination of vectors that expresses the total numbers of three-, two-, and one-bedroom apartments contained in the building. c) Is it possible to design the building with exactly 66 three-bedroom units, 74 two-bedroom units, and 136 one- bedroom units? If so, is there more than one way to do it? Explain your answer.

Name: 5) A building in an apartment complex is to be built using a new modu
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 5) A building in an apartment complex is to be built using a new modular technique. The arrangement ofapartments on any floor will be chosen from one of three floor plans. The floorplan for Plan A has 4 three-bedroom units, 4 two-bedroom units, and

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section: Chapter Questions

Problem 6CR

See similar textbooks

Similar questions

The Center for Information Technology at State Univer-sity has outgrown its office in Bates (B) Hall and is mov-ing to Allen (A) Hall, which has more space. The move will take place during the three-week break between the end of summer semester and the beginning of fall semes-ter. Movers will be hired from the university’s physical plant to move the furniture, boxes of books, and files thatthe faculty will pack. The center has hired a local retailcomputer firm to move its office computers so they willnot be damaged. Following is a list of activities, theirprecedence relationships, and probabilistic time estimatesfor this project:Determine the earliest and latest start and finish times, thecritical path, and the expected project duration. What is theprobability the center will complete its move before thestart of the fall semester?
Suppose that JCC is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Now each section of Finite Math can hold 40 students and brings in $40,000 in revenue, each section of Applied Calculus can hold 40 students and brings in $60,000 in revenue, and each section of Computer Methods can hold 10 students while bringing in a revenue of $20,000. This semester JCC wishes to offer a total of six sections, accommodate 210 students, and bring in $260,000 in revenue from its courses. How many sections of each course should it offer?
The head of the department of management at State University has noticed that the four secretaries in the departmentaloffice seem to spend a lot of time answering questions fromstudents that could better be answered by the college advising office, by faculty advisors, or simply from the availableliterature; that is, course schedules, catalogues, the studenthandbook, and so on. As a result, the department head isconsidering remodeling the office with cubicles so studentsdo not have easy access to the secretaries. However, beforeinvesting in this project the head has decided to conduct awork sampling study to determine the proportion of timethe secretaries spend assisting students. The head arrangedfor a graduate assistant to make observations for the worksample, but the graduate student’s schedule enabled her tomake only 300 random observations in the time allotted forthe study. The results of the work sampling study showedthat the secretaries assisted students 12% of the time, somewhat…
An entrepreneur is deciding how to subdivide a large old home toconvert it to a Bed-and-Breakfast (B&B). There are four alternatives: OptionA renovates all rooms, but leaves all walls intact, so the result would be twodouble rooms and three single rooms on the top floor, and on the main floor two further single rooms with a shared bathroom. Option B would renovate only the second floor but combine the single rooms in the main floor to create a single room with a bathroom. Option C combines the main floor rooms to create a single room with a bathroom, and combines the three single rooms on the top floor to create two double rooms. Finally option D would create five double rooms, each with its own bathroom. There are three event possibilities, a high demand, an average demand, and a low demand. The entrepreneur believes the probability of each event depends on the layout and availability of the rooms. Below are the details of the predicted income and the probability of occurrence…
A math teacher will split her class of 15 students into three groups with five students in each group. One group will go for online class, a second group will have the modular class and the third group will be a face to face class. In how many ways can the teacher form the groups for online, modular and face to face class?
Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math holds 40 students and earns the college $1,300 in revenue per student. Each section of Applied Calculus holds 45 students and earns the college $1,600 per student, and each section of Computer Methods holds 15 students and earns the college $1,900 per student. Assuming that the college can offer a total of seven sections, wishes to accommodate 240 students, and wishes to bring in $357,000 in revenues, how many sections of each course should it offer?
A software organisation employs 80,000 staff members. 16,000 employees are inthe sales team, 24,000 are in the customer support team and 14,000 are in thesoftware development and HR departments. What percentage of theorganisation’s employees are a part of the finance team, if the size of the financeteam makes up two-fifths of the remainder?
Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in Mathematics and 5 students majoring in Computer Science. How many arrangements are possible for forming a group of 6 students, if each group should consist of 2 students majoring in Islamic Studies, 1 student majoring in Mathematics and 3 students majoring in Computer Science?
If we take a golden rectangle which has base equal to φ and height equal to 1, and we subdivide that rectangle into a square and a smaller rectangle using a single vertical edge, what are the dimensions of the smaller rectangle?
The Nutty Nut Company has just purchased the following quantities of nut: Type of nut Quantity in Pounds Almonds 6000 Brazil 7500 Filberts 7500 Pecans 4000 Walnuts 7500 They would like to package these nuts in 1-pound bags and are presently considering producing aregular mix (consisting of 10% pecans, 15% almonds, 25% filberts, 25% Brazil, 25% walnuts), adeluxe mix (20% of each type of nut), and individual bags of each type of nuts. The profit figures foreach bag they produce are as follows: Type of Bag Profit/Bag Regular Mix $0.20 Deluxe Mix $0.25 Almonds $0.05 Brazil $0.10 Filberts $0.10 Pecans $0.05 Walnuts $0.15 Formulate ONLY the linear program that World Wide could use to determine how many bags ofeach type should be produced in order to maximize profit
How do i find the occupancy rate for multiple lots? This spreadsheets contains more lots than given. I only provided are part of lot 1 and a part of lot 2 because the file is too large. They all run together in one file and need the occupancy rate which is column D on my spreadsheet. LotCode LotCapacity LotOccupancy OccupancyRate TimeStamp Day Lot01 863 174 11/20/2016 8:01 Sunday Lot01 863 179 11/20/2016 8:27 Sunday Lot01 863 189 11/20/2016 9:01 Sunday Lot01 863 197 11/20/2016 9:27 Sunday Lot01 863 226 11/20/2016 10:01 Sunday Lot01 863 247 11/20/2016 10:27 Sunday Lot01 863 331 11/20/2016 11:01 Sunday Lot01 863 400 11/20/2016 11:27 Sunday Lot01 863 469 11/20/2016 12:01 Sunday Lot01 863 510 11/20/2016 12:34 Sunday Lot01 863 594 11/20/2016 13:07 Sunday Lot01 863 618 11/20/2016 13:27 Sunday Lot01 863 637 11/20/2016 14:01 Sunday Lot01 863 655 11/20/2016 14:27 Sunday Lot01 863 634 11/20/2016 15:01 Sunday Lot01 863 597…
Consider two companies with mining rights to the same region. They couldmine in an environmentally friendly manner or agressively. If both mineenvironmentally friendly, profits are 100 million for each in a given year.If they both mine agressively, the government will step in and fine them,meaning that they will make 75 million each. Finally, the government willnot step in if only one of the companies mines agressively, meaning that theaggresive miner will make 120 million while the environmentally friendlyminer will loose out in capacity and make 50 million.a) Write the normal form of the game and point out the Nash equilibriumif the game is played only once. (2)b) What will be the rollback equilibrium if the two companies mine thesame region three years ina row? (2)c) Now assume that the game is repeated infinitely. What rate of returnvalue that will sustain the environmentally friendly strategy as the Nashequilibrium if one of the companies is playing a grim strategy? (3)d) Now…