Office Space Although still a sophomore at college, John O’Hagan’s son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a “simulation of the world.” John O’Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls. What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $480, and what is its area?
Trending nowThis is a popular solution!
Chapter 12 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- In your own words, explain the advantages and disadvantages of solving a system of equations by graphing.arrow_forwardExplain in your own words how to solve a system of equations using substitution.arrow_forwardMark's company makes two games (Zeldor and Pekomon) using two machines (A and B). Each unit of Zeldor that is produced requires 25 minutes processing time on machine A and 35 minutes processing time on machine B. Each unit of Pekomon that is produced requires 32 minutes processing time on machine A and 29 minutes processing time on machine B. Available processing time on machine A is forecast to be 1,600 minutes and on machine B is forecast to be 3,045 minutes. If Zeldor can be sold at a price of 2,500 pesos per unit and Pekomon is 2,700 pesos per unit, a. What are the vertices of the constraints? (check all that apply) (32,25) (58, 25) (58, 35) (0, 105) (0, 50) (0,0) (50,0) (25,38) (58, 32) (35, 32) b. How much of each game should the company produce to maximize profit c. How much is the maximum profit?arrow_forward
- Digital Imaging (DI) produces color printers for both the professional and consumer markets. The DI consumer division recently introduced two new color printers. The DI-910 model can produce a 4”×6” borderless color print in approximately 37 seconds. The more sophisticated and faster DI-950 can even produce a 13”×19” borderless color print. Financial projections show profit contributions of $42 for each DI-910 and $87 for each DI-950. The printers are assembled, tested, and packaged at DI’s plant located in New Bern, North Carolina. This plant is highly automated and uses two manufacturing lines to produce the printers. Line 1 performs the assembly operation with times of 3 minutes per DI‑910 printer and 6 minutes per DI-950 printer. Line 2 performs both the testing and packaging operations with times of 4 minutes per DI-910 printer and 2 minutes per DI-950 printer. The shorter time for the DI-950 printer is a result of its faster print speed. Both manufacturing lines are in operation…arrow_forwardYour school's basketball team is organizing a bus trip to a Toronto Raptors game at the Air Canada Centre. The cost to rent the bus, which can carry up to 52 people, is $380 and the cost of tickets for a group of 20 or more is $29.50 per person. In addition, the team wants to make a $250 profit from this event to help defray the costs of a future tournament. However, the school administration requires that the cost of the trip per person not exceed $45. Is this possible? If so, what is the minimum number of people that must participate in the activity?arrow_forwardThe Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40 for each device for up to 2 GB of data per device. The Mobile Share Plan: $120 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $35 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. a. Find the model of the total cost of the Family Plan. b. Find the model of the total cost of the Mobile Share Plan. c. Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost. d. If a family has 3 smart phones, which plan should they choose?arrow_forward
- O'Connel Airlines is considering air service from its hub of operations in Cicely, Alaska, to Madison, Wisconsin, and Seattle, Washington. O'Connel has one gate at the Cicely Airport, which operates 10 hours per day. Each flight requires 1 hour of gate time. Each flight to Madison consumes 15 hours of pilot crew time and is expected to produce a profit of $3000. Serving Seattle uses 10 hours of pilot crew time and will result in a profit of $2500 per flight. Pilot crew labor is limited to 120 hours per day. The market for service to Seattle, Washington is limited to a maximum of eight flights per day. Formulate this problem and then SOLVE it using the graphical solution method. The objective is to maximize profits for O'Connel Airlines.arrow_forwardThe Arcadium arcade in Lynchburg, Tennessee uses 3 different coloredtokens for their game machines. For $20 you can purchase any of thefollowing mixtures of tokens: 14 gold, 20 silver, and 24 bronze; or, 20 gold,15 silver, and 19 bronze; or, 30 gold, 5 silver, and 13 bronze. What is themonetary value of each token? write a system of equations with 3 variblesarrow_forwardA division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $22. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? tables 40 chairs 100 X X What is the maximum profit? Xx $ 4000 + Show My Work (Optionalarrow_forward
- A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4 hours, respectively, per ski and that finishing time is 3 hours for each downhill and 4 hours for each cross-crountry ski. There are only 16 hours per week available for the manufacturing process and 24 hours for the finishing process. The average profit is $62 for downhill ski and $92 for cross-country ski. The manufacturer wants to know how many of each type of ski should be made to maximize the weekly profit. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (i.e. (1,2).(3,4)). Maximum profit is: $ when and downhill skis cross country skis are produced.arrow_forwardPhilippine Airlines (PAL) is considering air service from its hub of operations in Cicely, Alaska, to Rome, Wisconsin, and Seattle, Washington. PAL has one gate at the Cicely Airport, which operates 12 hours per day. Each flight requires 1 hour of gate time. Each flight to Rome consumes 15 hours of pilot crew time and is expected to produce a profit of $2,500. Serving Seattle uses 10 hours of pilot crew time per flight and will result in a profit of $2,000 per flight. Pilot crew labor is limited to 150 hours per day. The market for service to Rome is limited to nine flights per day. a. Use the graphic method of linear programming to maximize profits for Philippine Airlines. b. Identify positive slack and surplus variables, if any.arrow_forwardA businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell