The PipeWell Company produces a particular electronic device for pipeline projects at two plants in Dublin and Casablanca. After production, the products are first shipped to warehouses located in Baku and Bologna then delivered to the customers in Dubai, Moscow, and Istanbul, hence, all arcs are one- directional, from the plants to the warehouses, and from the warehouses to the customers. The following figure is a network representation of the logistics structure. The numbers on arcs represent the unit cost of shipment of a product between the corresponding nodes. The monthly capacities of the plants (300,100) and the demands of the customers (150,100,150) are also shown next to the related nodes. Any number of products can be shipped between nodes. Build an appropriate LP model to find a shipment plan that minimizes total cost of shipment for this company. Do not forget to write the necessary definitions (i.e. variables) related to your model. Solve the model, and answer the following questions. 150 300 Duba Dublin Bologna 100 Moscow 100 2 Cautlanca 150 stanbu Answer the following questions based on the data represented in the sensitivity report:
The PipeWell Company produces a particular electronic device for pipeline projects at two plants in Dublin and Casablanca. After production, the products are first shipped to warehouses located in Baku and Bologna then delivered to the customers in Dubai, Moscow, and Istanbul, hence, all arcs are one- directional, from the plants to the warehouses, and from the warehouses to the customers. The following figure is a network representation of the logistics structure. The numbers on arcs represent the unit cost of shipment of a product between the corresponding nodes. The monthly capacities of the plants (300,100) and the demands of the customers (150,100,150) are also shown next to the related nodes. Any number of products can be shipped between nodes. Build an appropriate LP model to find a shipment plan that minimizes total cost of shipment for this company. Do not forget to write the necessary definitions (i.e. variables) related to your model. Solve the model, and answer the following questions. 150 300 Duba Dublin Bologna 100 Moscow 100 2 Cautlanca 150 stanbu Answer the following questions based on the data represented in the sensitivity report:
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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I need the excel model and lp model
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Transcribed Image Text:The PipeWell Company produces a particular electronic device for pipeline projects at two plants in
Dublin and Casablanca. After production, the products are first shipped to warehouses located in Baku
and Bologna then delivered to the customers in Dubai, Moscow, and Istanbul, hence, all arcs are one-
directional, from the plants to the warehouses, and from the warehouses to the customers. The
following figure is a network representation of the logistics structure. The numbers on arcs represent
the unit cost of shipment of a product between the corresponding nodes. The monthly capacities of
the plants (300,100) and the demands of the customers (150,100,150) are also shown next to the
related nodes. Any number of products can be shipped between nodes. Build an appropriate LP model
to find a shipment plan that minimizes total cost of shipment for this company. Do not forget to write
the necessary definitions (i.e. variables) related to your model. Solve the model, and answer the
following questions.
150
300
Duhal
Dublin
3
in
Bologna
100
Moscow
10
100
2
Baku
150
Casablanca
Istanbul
Answer the following questions based on the data represented in the sensitivity report:
a) Explain the optimal solution (values of the decision variables and the total shipping cost).
b) What if the demand of the first customer (node 5) decreases to 100 units?
c) What if the second plant (node 2) increases its capacity to 120 units?
d) What if the units cost of shipping from the first plant (node 1) to the second warehouse
decreases (node 4) to $3?
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