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. Resources: A, B, C (one each) Availability: 3,500 min./week Operating expense: $12,000/week Product M Product N $190/unit 100 units/week $200/unit 80 units/week C 15 min./unit C 15 min./unit A B B 20 min./unit 5 min./unit 5 min./unit RM-1 $60/unit RM-2 $40/unit RM-3 $55/unit Process times for each task are shown in the diagram. Each machine is available 3,500 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.
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. Resources: A, B, C (one each) Availability: 3,500 min./week Operating expense: $12,000/week Product M Product N $190/unit 100 units/week $200/unit 80 units/week C 15 min./unit C 15 min./unit A B B 20 min./unit 5 min./unit 5 min./unit RM-1 $60/unit RM-2 $40/unit RM-3 $55/unit Process times for each task are shown in the diagram. Each machine is available 3,500 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.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
Related questions
Question
A. Which machine would is constraint in the plant?
B. Which product mix provides highest gross profit?
Product M= ______ units
Product N=_______units
C. What is the maximum weekly net profit this plant can earn using the product mix from Part b?
![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.
Resources: A, B, C (one each)
Availability: 3,500 min./week
Operating expense: $12,000/week
Product M
Product N
$190/unit
100 units/week
$200/unit
80 units/week
C
15 min./unit
C
15 min./unit
A
B
B
20 min./unit
5 min./unit
5 min./unit
RM-1
$60/unit
RM-2
$40/unit
RM-3
$55/unit
Process times for each task are shown in the diagram. Each machine is available 3,500 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfd56cfb-7bfc-4b10-8703-50c36abb0228%2Fcde52ec0-8220-4f67-8f93-f0353c1eaa33%2F0mptogn_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
Resources: A, B, C (one each)
Availability: 3,500 min./week
Operating expense: $12,000/week
Product M
Product N
$190/unit
100 units/week
$200/unit
80 units/week
C
15 min./unit
C
15 min./unit
A
B
B
20 min./unit
5 min./unit
5 min./unit
RM-1
$60/unit
RM-2
$40/unit
RM-3
$55/unit
Process times for each task are shown in the diagram. Each machine is available 3,500 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.
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