A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 formachines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows:ComponentABссProcessing Time (hr)Machine 1Machine 20.250.200.103028190.100.150.05Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces ofraw material 1 and 85,000 ounces of raw material 2 are available.Component Raw Material 1ABсRequirements (oz/unit)Raw Material 212169Machine 30.050.100.15Selling Price ($/unit)35.4024.0021.20a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective functionand constraints for the problem.Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)

Linear programming (LP) is an important tool in operations management that helps organizations…

Answered: a. Assume that the company must make at…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Priority rules. Job times (including processing and setup) are shown in the following table for five jobs waiting to be processed at a work center.Job Job Time (hours) Due Date (hours)a 12 15b 6 24c 14 20d 3 8e 7 6Determine the processing sequence that would result from each of these priority rules:a. SPT b. EDD
Suppose 100,000 lamps are to be manufactured annually. It costs $1 to store a lamp for 1 year, $500 to set up the factory to produce a batch of lamps and $5 to produce each lamp. A. If all lamps are produced in one batch find the total cost? B. If all lamps are produced in two batches of equal size, find the total cost? C. If the number of units in each batch is q, then how many batches are there? D. Find the number of lamps in each batch to minmize the total cost? E. What is the minimum cost? [ i need all answer i will upvote]
find the a. decision variables b. objective function c. constraints
George Fine, owner of Fine Manufacturing, is consideringthe introduction of a new product line. George has consideredfactors such as costs of raw materials, new equipment, andrequirements of a new production process. He estimates that thevariable costs of each unit produced would be $8 and fi xed costswould be $70,000.(a) If the selling price is set at $20 each, how many unitshave to be produced and sold for Fine Manufacturingto break even? Use both graphical and algebraicapproaches.(b) If the selling price of the product is set at $18 per unit,Fine Manufacturing expects to sell 15,000 units. Whatwould be the total contribution to profi t from this productat this price?(c) Fine Manufacturing estimates that if it off ers the productat the original target price of $20 per unit, the companywill sell about 12,000 units. Which pricing strategy—$18per unit or $20 per unit—will yield a higher contributionto profi t?(d) Identify additional factors that George Fine shouldconsider in deciding…
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…
33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…
I need solution of 2.34 as possible as please
1. University Ceramics manufactures plates, mugs, and steins that include the campus name and logo for sale in campus bookstores. The time required for each item to go through the two stages of production (molding and finishing), the material required (clay), and the corresponding unit profits are given in the following table, along with the amount of each resource available for tomorrow's eight-hour shift. Available Plates Mugs Steins Molding (minutes) Finishing (minutes) 4 6 3 2,400 8 14 12 7,200 Clay (ounces) 5 4 3 3,000 Unit Profit $3.10 $4.75 $4.00 A linear programming model has been formulated in a spreadsheet to determine the production levels that would maximize profit. The solved spreadsheet model and corresponding sensitivity report are shown below. A 1 B C D E F G Plates 2 3 Unit Profit $3.10 Mugs $4.75 Steins $4.00 4 Resource Required per Unit Used Available 5 Molding (minutes) 3 2,400 <= 2.400 6 Finishing (minutes) 8 14 12 7.200 <<= 7.200 7 Clay (ounces) 5 4 3 2,700 <=…
PLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?

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