A blood bank wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. The supply and demand for donated blood is shown in the figure along with the unit cost of shipping along each possible arc.  Provide the complete linear programing formulation. Clearly specify decision variables, objective function and constraints. Build a model in Excel and paste a screenshot here. Use “FORMULATEXT” in your model to show calculations. According to Excel Solver, what is the optimal transportation plan for blood bank? What is the minimum total shipping cost?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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A blood bank wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. The supply and demand for donated blood is shown in the figure along with the unit cost of shipping along each possible arc. 

  1. Provide the complete linear programing formulation. Clearly specify decision variables, objective function and constraints.
  2. Build a model in Excel and paste a screenshot here. Use “FORMULATEXT” in your model to show calculations.
  3. According to Excel Solver, what is the optimal transportation plan for blood bank? What is the minimum total shipping cost?

 

Pittsburgh
300
Charleston
B00
Hichmond
-1,300
3.
Suffolk
7.
7.
400
Staunton
8.
4.
-1,200
Roanoke
Nortolk
200
700
2.
Transcribed Image Text:Pittsburgh 300 Charleston B00 Hichmond -1,300 3. Suffolk 7. 7. 400 Staunton 8. 4. -1,200 Roanoke Nortolk 200 700 2.
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