A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The totalavailable labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements(in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.)Product AProduct BProduct CDept. IDept. II213212Dept. III1Profit$90$60$75How many units of each product should the company produce in order to maximize its profit?unitsProduct AProduct BunitsProduct CunitsWhat is the largest profit the company can realize?$Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)labor in Dept. Ilabor-hourslabor in Dept. IIlabor-hourslabor in Dept. IIIlabor-hours

According to the given information a company manufactures product A,B,C and each product is…

Answered: A company manufactures Products A, B,…

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 game company is developing two new games, a board game, and a mechanical game. Each board game requires 1/2 hr to manufacture, 1/2 hr to assemble, and 1/2 to inspect and package. In given week there are 40 hours available for manufacturing, 32 hours available for assembly, and 18 hours available for inspection and packaging. Suppose the profit on each game is $10 and the profit on each mechanical game is $15. How many of each game should be produced each week for maximum profit?
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ 48 X and $ 96 X. (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $196.80. $2 (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $1.50 (with the contribution to the profit of a Type A souvenir held at $1.00)? $168
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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 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
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