A factory manufactures two products, A and B. Each product requires the use of three machines,Machine I, Machine II, and Machine III. The time requirements and total hours available on cachmachine are listed below.Machine IMachine IIMachine IIIProduct A124Product B222Total hours7090160Table 6.1If product A generates a profit of $60 per unit and product B a profit of $50 per unit, howmany units of cach product should be manufactured to maximize profit, and what is the maximumprofit?

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Answered: A lactory manufactures two products, A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
part a and b
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
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> A Moving to another question will save this response. Question 3 The input-output table for a two-sector economy is given as follows: Input to Sector input to Sector Final Demand Total output Output from Sector X 600 400 200 Output from Sector Y 600 200 Value Added Total Input Total Output for sector X = 1200 Total Output for sector X= 1000 Total Output for sector X = 200 Total Output for sector X= 1220
G.97.
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A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Dept. I Dept. II Dept. II Profit 144 Product A 240 2 3 2 $18 X Product B If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A 0 product B product C 1 1 2 $12 What is the maximum profit (in dollars)? $ 7038 X Product C 2 2 1 $15
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c
Every day, secret, over-worked employees at Wayne Enterprises work two 6-hour shifts producing Batmobiles. These shifts are selected from 12 am - 6 am, 6 am - 12 pm, 12 pm - 6 pm, and 6 pm - 12 am. The following table depicts the number of employees needed during each shift: Shift Time Period 1 2 3 4 12 am - 6 am 6 am - 12 pm 12 pm - 6 pm 6 pm - 12 am Number of Employees Required 13 21 17 11 Bruce Wayne pays all employees working two consecutive shifts, $12 per hour (Note: employees scheduled to work 12 am - 6 am and 6 pm - 12 am would be considered consecutive). Employees whose shifts are not consecutive are paid $18 per hour for the inconvenience. Formulate an LP that can be used to minimize the cost of meeting the daily workforce demands for Batmobile production. To formulate the model, use the following decision variables: Xij = workers working shifts i and j where i, j = {1, 2, 3, 4}

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