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?
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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_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
- Philippine 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_forwardColorado Memorabilia sells 3 types of Caps: Arid, Blu Mount, and Colorful. Making Arid requires 2 minutes of sewing and 30 minutes of labor, and costs $18 in fabric. Blu Mount requires 2.5 minutes of sewing and 35 minutes of labor, and costs $14 in fabric. Colorful requires 3 minutes of sewing and 40 minutes of labor, but costs only $10 for fabric. There are 350 sewing minutes available per week, 4750 minutes of labor, and a budget of $3000. The company realizes profits as follows: Arid $20; Blu Mount $24; and Colorful $30. The ranging report from QM for Windows is shown below. Ranging (untitled) Solution Variable Value Reduced Original Val Lower Bou. Upper Bou. -Infinity Infinity A. 20 20 B 24 25 Infinity Dual Value Slack/Surp. Original Val Lower Bou. Upper Bou. 356.25 116.67 30 30 Constraint 1 Constraint 2 Constraint 3 10 350 4750 Infinity Infinity 83.33 4666.67 0. 1833.33 3000 1166.67 If Colorado Memorabilia loses $1000 in its budget, the profits will be reduced by: O $250. O $180.…arrow_forward
- If you spend x million dollars on labor and y million dollars on capital (that is, machinery, buildings, etc.), then your factory producesarrow_forwardA women’s resource center which provides housing for women and children who come from abusive home is undertaking a grass roots fund-raising effort within the community. One component of the campaign is the sale of two types of candy bars. The profit from the candy is $0.65 and $0.85 per bar, respectively, for the two types. The supplier of the candy has offered an incentive if the total numbers of candy bars sold exceeds 1500. For each bar over 1500, an additional $0.35 will be earned by the center. (a) Determine the function P = f (x1 , x2), where P equals the total profit in dollars and xj equals the number of bars sold of type j. (b) If 650 and 800 bars, respectively, are sold, what is the profit expected to equal? (c) If 1400 and 2050 bars, respectively, are sold, what is the profit expected to equal?arrow_forwardA company manufactures two types of washers, top load and front load. The company can manufacture a maximum of 18 washers per day. It makes a profit of $20 on top load machines and $25 on front load machines. No more than 5 front load machines can be manufactured due to production restrictions. To meet consumer demand, the company must manufacture at least 2 front load machines and 2 top load machines per day. What is the maximum profit?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
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