A Company produces precision medical diagnostic equipment at two factories. Three medical centers have placed orders for this month’s production output. The table Below shows what the cost would be for shipping each unit from each factory to each of these customers. Also shown are the number of units that will be produced at each factory and the number of units ordered by each customer. A decision now needs to be made about the shipping plan for how many units to ship from each factory to each customer. Formulate a linear programming model for this problem. a. Define the variable used: b. LP Model: c. Objective function

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 61RE
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A Company produces precision medical diagnostic equipment at two factories. Three medical centers have placed orders for this month’s production output. The table Below shows what the cost would be for shipping each unit from each factory to each of these customers. Also shown are the number of units that will be produced at each factory and the number of units ordered by each customer. A decision now needs to be made about the shipping plan for how many units to ship from each factory to each customer. Formulate a linear programming model for this problem.

a. Define the variable used:

b. LP Model:

c. Objective function

d. Identify the feasible region:

e.  Corner points and the value of objective function

f. Final Anser

Please help, thank you so much!

Unit Shipping Cost
To
Customer 1 Customer 2 Customer 3 Output
From
Factory 1
Factory 2
400 units
$600
$400
$800
$700
$600
$900
500 units
Order size
300 units
200 units
400 units
Transcribed Image Text:Unit Shipping Cost To Customer 1 Customer 2 Customer 3 Output From Factory 1 Factory 2 400 units $600 $400 $800 $700 $600 $900 500 units Order size 300 units 200 units 400 units
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