Problem 1 (10 Points)Davison Electronics manufactures three LED television monitors, identified as Model A, Model B, and Model C. Davison Electronics four manufacturing plants. Each model has its lowest possible production cost when produced at Plant 1. However, Plant 1 does not have the capacity to handle the total production of all three models. As a result, at least some of the production must be routed to the other manufacturing plants. The following table shows the minimum production requirements for next month, the plant capacities in units per month, and the production cost per unit at each plant:ModelProduction Cost per UnitMinimum Production RequirementsPlant 1Plant 2Plant 3Plant 4A$25$28$37$3448,000B$26$35$36$4175,000C$20$31$26$2360,000Production Capacity65,00050,00032,00043,000 Davison’s objective is to determine the cost-minimizing production plan.We have formulated the problem in Homework 2, which is in the explicit formulation (If you want to, you can also use my solution of Homework 2 posted in the folder “Homework Solution”). Now please develop the generic model (i.e. a symbolic-indexed formulation). Please remember to provide clear definitions of all the notations in the model.You can write down the generic model clearly, take a picture of it, and insert the picture into this Word document.If you want to type the mathematical notations using Microsoft Word, you are recommended to use Microsoft Word Equation Editor to type mathematical notations and expressions. You may want to refer to the documents in the “Additional Materials” folder for more information. Problem 1 (10 Points)Davison Electronics manufactures three LED television monitors, identified as Model A, ModelB, and Model C. Davison Electronics four manufacturing plants. Each model has its lowestpossible production cost when produced at Plant 1. However, Plant 1 does not have thecapacity to handle the total production of all three models. As a result, at least some of theproduction must be routed to the other manufacturing plants. The following table shows theminimum production requirements for next month, the plant capacities in units per month, andthe production cost per unit at each plant:Production Cost per UnitMinimumModelProductionPlant 1Plant 2Plant 3Plant 4RequirementsA$25$28$37$3448,000B$26$35$36$4175,000C$20$31$26$2360,00065,00050,00032,00043,000Production CapacityDavison's objective is to determine the cost-minimizing production plan.We have formulated the problem in Homework 2, which is in the explicit formulation (If youwant to, you can also use my solution of Homework 2 posted in the folder "HomeworkSolution"). Now please develop the generic model (i.e. a symbolic-indexed formulation). Pleaseremember to provide clear definitions of all the notations in the model.• You can write down the generic model clearly, take a picture of it, and insert the picture intothis Word document.•If you want to type the mathematical notations using Microsoft Word, you arerecommended to use Microsoft Word Equation Editor to type mathematical notations andexpressions. You may want to refer to the documents in the "Additional Materials" folder formore information.

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Problem 1 (10 Points) Davison Electronics manufactures three LED television monitors, identified as Model A, Model B, and Model C. Davison Electronics four manufacturing plants. Each model has its lowest possible production cost when produced at Plant 1. However, Plant 1 does not have the capacity to handle the total production of all three models. As a result, at least some of the production must be routed to the other manufacturing plants. The following table shows the minimum production requirements for next month, the plant capacities in units per month, and the production cost per unit at each plant: Production Cost per Unit Minimum Model Production Plant 1 Plant 2 Plant 3 Plant 4 Requirements A $25 $28 $37 $34 48,000 B $26 $35 $36 $41 75,000 C $20 $31 $26 $23 60,000 65,000 50,000 32,000 43,000 Production Capacity Davison's objective is to determine the cost-minimizing production plan. We have formulated the problem in Homework 2, which is in the explicit formulation (If you want to, you can also use my solution of Homework 2 posted in the folder "Homework Solution"). Now please develop the generic model (i.e. a symbolic-indexed formulation). Please remember to provide clear definitions of all the notations in the model. • You can write down the generic model clearly, take a picture of it, and insert the picture into this Word document. • If you want to type the mathematical notations using Microsoft Word, you are recommended to use Microsoft Word Equation Editor to type mathematical notations and expressions. You may want to refer to the documents in the "Additional Materials" folder for more information.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 10P

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Problem 1 (10 Points)

Davison Electronics manufactures three LED television monitors, identified as Model A, Model B, and Model C. Davison Electronics four manufacturing plants. Each model has its lowest possible production cost when produced at Plant 1. However, Plant 1 does not have the capacity to handle the total production of all three models. As a result, at least some of the production must be routed to the other manufacturing plants. The following table shows the minimum production requirements for next month, the plant capacities in units per month, and the production cost per unit at each plant:

Model	Production Cost per Unit	Minimum Production Requirements
Plant 1	Plant 2	Plant 3	Plant 4
A	$25	$28	$37	$34	48,000
B	$26	$35	$36	$41	75,000
C	$20	$31	$26	$23	60,000
Production Capacity	65,000	50,000	32,000	43,000

Davison’s objective is to determine the cost-minimizing production plan.

We have formulated the problem in Homework 2, which is in the explicit formulation (If you want to, you can also use my solution of Homework 2 posted in the folder “Homework Solution”). Now please develop the generic model (i.e. a symbolic-indexed formulation). Please remember to provide clear definitions of all the notations in the model.

You can write down the generic model clearly, take a picture of it, and insert the picture into this Word document.
If you want to type the mathematical notations using Microsoft Word, you are recommended to use Microsoft Word Equation Editor to type mathematical notations and expressions. You may want to refer to the documents in the “Additional Materials” folder for more information.

Problem 1 (10 Points)
Davison Electronics manufactures three LED television monitors, identified as Model A, Model
B, and Model C. Davison Electronics four manufacturing plants. Each model has its lowest
possible production cost when produced at Plant 1. However, Plant 1 does not have the
capacity to handle the total production of all three models. As a result, at least some of the
production must be routed to the other manufacturing plants. The following table shows the
minimum production requirements for next month, the plant capacities in units per month, and
the production cost per unit at each plant:
Production Cost per Unit
Minimum
Model
Production
Plant 1
Plant 2
Plant 3
Plant 4
Requirements
A
$25
$28
$37
$34
48,000
B
$26
$35
$36
$41
75,000
C
$20
$31
$26
$23
60,000
65,000
50,000
32,000
43,000
Production Capacity
Davison's objective is to determine the cost-minimizing production plan.
We have formulated the problem in Homework 2, which is in the explicit formulation (If you
want to, you can also use my solution of Homework 2 posted in the folder "Homework
Solution"). Now please develop the generic model (i.e. a symbolic-indexed formulation). Please
remember to provide clear definitions of all the notations in the model.
• You can write down the generic model clearly, take a picture of it, and insert the picture into
this Word document.
•
If you want to type the mathematical notations using Microsoft Word, you are
recommended to use Microsoft Word Equation Editor to type mathematical notations and
expressions. You may want to refer to the documents in the "Additional Materials" folder for
more information.

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