Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LPproblem:Maximize contribution =4X₁ + 4X2 +7X31X₁ +7x2 +4X3 ≤ 100(C₁: hours on machine 1)2X1 + 1X2 +7X3 ≤ 110(C2: hours on machine 2)8X₁ +4X2 + 1X3 ≤ 100(C3: hours on machine 3)X1, X2, X3 ≥0 a) Using a computer software for solving LP, the optimal solution achieved is:X₁ == 6.25 (round your response to two decimal places).= 5.11 (round your response to two decimal places).X3 9.48 (round your response to two decimal places).Contribution (objective value) = 111.86 (round your response to two decimal places).b) Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).Machine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).

Answered: Image /qna-images/answer/84873fec-56a5-4905-9d69-8467c8a850ef.jpg

Answered: Kalyan Singhal Corp. makes three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

See similar textbooks

Similar questions

The Ace Manufacturing Company has orders for three similar products. Product A Min B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A B B Ic C Product 1 12 3 Orders (units) 1,900 500 1,100 Capacity (units) 1,300 1,600 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 (a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)
A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?
Illinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 48 chairs. There are eight tasks: Task A BCDEFGH с Performance Time (mins) 5 8 ∞ CO CO LO ∞0 co 6 6 5 8 7 6 This exercise only contains part a. a) The correct precedence diagram is present in Task Must Follow Task Listed Below A, B C D E E F, G Figure 1 @ Figure 2 Figure 3 Go-0-0.80
The Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 2 Machine 3 A Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A B B IC c с Product 1 2 2,200 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
Karen owns a roof repair service and drives a van to local client sites. During the week she drives the following distances: · From her home to her business headquarters: 8 miles · From her headquarters to a client site: 15 miles · From client site back to her headquarters: 15 miles · Trip from her headquarters back home: 8 miles How many miles does she count for business purposes? Group of answer choices 8 miles. 15 miles. 30 miles. 46 miles.
Cox Electric makes electronic components and has estimated the following for a new design of one of its products. Fixed cost = $23,750 Material cost per unit = $0.17 • Labor cost per unit = $0.12 • Revenue per unit = $0.67 Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue. Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions. (a) Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…
Atlas Engineering Ltd. Accepts a variety of jobs which require both and machine operations. The budgeted Profit & Loss Account for the period 2018-19 is as follows: (in lakhs of dollars) Sales 75 Cost: Direct Material 10 Direct Labour 5 Prime Cost 15 Production Overheads 30 Production Cost 45 Administration, Selling and Distribution Overheads 15 60 Profit 15 Other budgeted data : Labour hours for the period 25,000 Machine hours for the period 15,000 No. Of jobs for the period 300 An enquiry has been received recently from a customer and the production department has prepared the following estimate of the prime cost required for the job : Direct Material $ 2,500 Direct Labour $ 2,000 Prime Cost $ 4,500 Labour hours required = 80 Machine hours required = 50 You are required to: (a) Calculate by the different methods, six absorption rates for absorption of production overhead and comment on the suitable of each. (b) Calculate the production overhead cost of the order based on each of the…
Mario, a security guard, has drawn a shift of 6:00 p.m. to 2:00 a.m. from Teusday to Sunday getting a daily pay of P80 a day. If he was asked to work from Saturday to Sunday, how much is he entited to get for his work day? Group of answer choices P80 P100 P95 P120
The Morning Brew Coffee Shop sells Regular, Cappuccino, and Vienna blends of coffee. The shop's current daily labor cost is $320, the equipment cost is $125, and the overhead cost is $225 Daly demands, along with price and material costs per beverage, are given below: Regular Coffee Beverages sold Price per beverage 400 $2.00 Material per beverage (3) $0.50 Cappuccino 150 $3.00 $0.75 Vienna coffee 100 $4.00 $1.25 Harald Luckerbauer, the manager at Morning Brew Coffee Shop, would like to understand how adding Eiskaffee (a German coffee beverage of chilled coffee, milk, sweetener, and vanila ice cream) will alter the shop's productivity. Her market research shows that Eiskaffee will bring in new customers and not cannibalize current demand. Assuming that the new equipment is purchased before Eiskaffee is added to the menu, Harald has developed new average daily demand and cost projections. The new equipment cost is $200, and the overhead cost is $350. Modified daily demands, as well as…
QuestionByron Sports is a manufacturer of sportswear. It produces all of its products in one department using a process costing system.The information for the current month is as follows:Beginning work in process (30% complete as to conversion cost) 12,000 unitsUnits started 90,000 unitsUnits completed and transferred out ?Ending work in process (70% complete as to conversion) 8,000 unitsCosts:Beginning work-in-process direct materials $28,800Beginning work-in-process conversion $5,040Direct materials added during month $216,000Conversion costs incurred during the month $139,200Direct materials are added at the beginning of the process. Conversion costs are incurred uniformlythroughout the production process. Costing is handled on a FIFO basis Required:a. Prepare a production cost worksheet using 5 steps approach.b. Under what conditions would a process costing system be more appropriate than a job order costing system? Explain.
Bob Carlton’s golf camp estimates the following staff requirements for its services over the next 2 years. Each certified instructor puts in 480 hours per quarter regular time and can work an additional 120 hours overtime.Regular-time wages and benefits cost Carlton $7,200 per employee per quarter for regular time worked up to 480 hours,with an overtime cost of $20 per hour. Unused regular timefor certified instructors is paid at $15 per hour. There is nocost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $10,000. Layoff costs are$4,000 per employee. Currently, eight employees work in thiscapacity.a. Find a staffing plan using the level strategy that allows forno delay in service. It should rely only on overtime and theminimum amount of undertime necessary. What is thetotal cost of this plan?b. Use a chase strategy that varies the workforce level without using overtime or undertime. What is the total cost ofthis plan?c. Propose a better…
The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A LB B Ic C Product 4 2 3 Orders (units) Machine 1 Capacity Product A Orders Machine 2 Capacity Product B Orders Machine 3 Capacity Product C Orders 1,800 X20 for all i, j. 700 1,100 Capacity (units) 1,400 (a) Develop the linear programming formulation of this problem. (Let x₁ be the number of units of product A produced by XA1 machine 1, x,, be the number of units of product i produced by machine j, etc.) 1,500 1,000 1 Machine $1.00 $1.30 $1.10 2 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 3 (b) Solve the transportation model for the…

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS