Answered: The M–N plant manufactures two…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The M–N plant manufactures two different products: M and N. Selling prices and weekly
market demands are shown in the following diagram. Each product uses raw materials
with costs as shown. The plant has three different machines: A, B, and C. Each performs
different tasks and can work on only one unit of material at a time.
Process times for each task are shown in the diagram. Each machine is available
2,400 minutes per week. There are no “Murphys” (major opportunities for the system to
foul up). Setup and transfer times are zero. Demand is constant.
Operating expenses (including labor) total a constant $12,000 per week. Raw materials
are not included in weekly operating expenses.
a. Where is the constraint in this plant?
b. What product mix provides the highest proi t?
c. What is the maximum weekly proi t this plant can earn?

Product M
Product N
Resourcen: A, B, C (one ach)
Availability: 2400 min week
Operating peme: S12,000/week
SI 0'anit
100 unitaweek
S0lunit
50 unitsweek
15 min Amit
15 min/anit
в
20 min/arit
15 min.Jurit
15 minlunit
RM-2
SAVunit
/RM-3
S4Vusit
RM-1

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