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 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 cach machine are listed below. Machine I Machine II Machine III Product A 1 2 4 Product B 2 2 2 Total hours 70 90 160 Table 6.1 If product A generates a profit of $60 per unit and product B a profit of $50 per unit, how many units of cach product should be manufactured to maximize profit, and what is the maximum profit?
A manufacturing company makes two types of water skis, a trick slo and a slalom ski. The relevant manufacturing data are given in the table. Labor Hours per Ski Department Fabricating Finishing Answer parts (A), (B), and (C) below Trick Ski 6 1 Slalom Ski 4 1 Maximum Labor-Hours Available per Day 180 36 CED (A) if the profit on a trick ski is $40 and the prott on a slalom skd in $30, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is The maximum occurs when trick skis and stalom sks are produced
The Sentry Lock Corporation sells a variety of electronic goods through television shows. The company has a number of storages to keep the goods it sells, but also takes out a lease on additional storage space when required. During the next 5 months the company anticipates that it is going to need to take out a lease on the following amounts of additional storage space: Month 1 2 3 4 5 Square Feet(ft2) Needed 20,000 30,000 40,000 35,000 50,000 In the beginning of any month the company can take out a lease on additional space for one or more months at the following costs: Lease Term (months) 1 2 3 4 5 Cost per Sq. Ft. Leased $55 $85 $130 $165 $185 Therefore, for example, in the beginning of month 1 the company can take out a lease on as much space as it requires for four months at a cost of $165 per ft2 . Similarly, in the beginning of month 3 it can take out a lease on any amount of space for two months at a cost of $85 per ft2 . The company needs to determine the optimal way of…
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 1020, 1080, and 900, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product Product Product A B Dept. I 2 1. 2 Dept. II 3 1 2. Dept. II 1. Profit $18 $12 $15 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 product B product C What is the maximum profit (in dollars)?
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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
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 900 labor-hours of fabrication time and 700 labor-hours of assembly time available per week. The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit? Let x₁, x2, and x3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear programming problem. Maximize P=[ subject to X1, X₂, X3 20 The company should manufacture (Simplify your answers.) Fabrication time restriction Assembly time restriction…

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