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 Whitt Window Company is a company with only three employees which makes two different kinds of hand-craft windows: a wood-framed and an aluminum-framed window. They earn $60 profit for each wood-framed window and $30 profit for each aluminum-framed window. Doug makes the wood frames and can make 6 per day. Linda makes the aluminum frames and can make 4 per day. Bob forms and cuts the glass, and can make 48 square feet of glass per day. Each wood-framed window uses 6 square feet of glass and each aluminum-framed window uses 8 square feet of glass. Demand for each kind of windows is unlimited.Formulate a linear programming (LP) model to maximize the Whitt Window Company’s profit.arrow_forward
- 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 $432?arrow_forwardKiara and her friends are playing The Duck Game at a local fair. In this game, the player selects one of 50 identical plastic ducks from a pool. The bottom of each duck is each numbered 1, 2, or 3. If you draw a duck with a 1, you win a small prize, a duck with a 2 will win you a medium prize, and a duck with a 3 will win a large prize. According to the game operator, there are 25 ducks with a number 1 on the bottom, 20 ducks with the number 2, and 5 ducks with the number 3. Use the information given to explore some of the mathematical concepts you have practiced so far by answering the questions below.arrow_forwardA- Furniture Company makes book shelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting. Each desk requires 3 hours for carpentry and 4 hours for painting. The company has a maximum of 60 hours of carpentry work and 40 hours of painting available each week, and they make a profit of $15 per shelf and $40 per desk. How many shelves and how many desks should they make (using graphical method)?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_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_forwardA toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.It costs the company $1.24 to make each dog and $1.76 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the constraint inequality for felt?arrow_forward
- A company makes color television sets. It produces a bargain set that sells for $370 profit and a deluxe set that sells for $650 profit. On the assembly line, the bargain set requires 5 hours, while the deluxe set takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the bargain set and 2 hours on the cabinet for the deluxe set. Both sets require 4 hours for testing and packing. On a particular production run, the company has available 3600 work-hours on the assembly line, 900 work-hours in the cabinet shop, and 2800 work-hours in the testing and packing department. Complete parts (a) through (c). w**F (a) How many sets of each type should the company produce to maximize profit? What is the maximum profit? > The company should produce deluxe sets and (Type whole numbers.) bargain sets to maximize profit. Clear All Check Answer View an Example Get More Help- Help Me Solve This GOODarrow_forwardA toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim. It costs the company $1.17 to make each dog and $1.77 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the constraint inequality for felt? А. 1.17, 1.77 В. 4, 3 С. 1, 1 D. 1, 2arrow_forwardA toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim. It costs the company $1.22 to make each dog and $1.43 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the constraint inequality for trim? О А. 4, 3 В. 1, 1 ОС. 1.22, 1.43 O D. 1, 2arrow_forward
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