Four hospitals (1, 2, 3, 4) have their requirements for blood met through a central blood distribution office that coordinates deliveries from three blood banks (A, B, and C) on a weekly basis. The costs to ship a standard pouch of blood from each blood bank to each hospital are reported in the table below. The table also provides, for an upcoming week, the weekly number of pouches available at each blood bank and the number of pouches required, i.e. the demand, at each hospital. Blood Bank A B C Demand Hospital 1 2 3 4 $4 $6.5 $5.5 $2 $4.9 $6.9 $5.1 $4.5 $5.5 $2.5 80 $6 $3.4 240 100 190 Pouches Available 150 200 320 Develop the optimization model that obtains an optimal shipment plan that ensures that capacities at warehouses are not violated and demands are met exactly. Compute the optimal shipment cost by solving the model using an optimizer such as EXCEL's Solver.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Four hospitals (1, 2, 3, 4) have their requirements for blood met through a central blood distribution office that coordinates deliveries from three blood banks (A, B, and C) on a weekly basis. The costs to ship a standard pouch of
blood from each blood bank to each hospital are reported in the table below. The table also provides, for an upcoming week, the weekly number of pouches available at each blood bank and the number of pouches required, i.e. the
demand, at each hospital.
Blood Bank
A
B
с
Demand
Hospital
1
2
3
4
$5.5
$2
$4
$6.5
$4.9 $6.9 $5.1 $4.5
$5.5 $2.5 $3.4
80 240 100
$6
190
Pouches
Available
150
200
320
Develop the optimization model that obtains an optimal shipment plan that ensures that capacities at warehouses are not violated and demands are met exactly. Compute the optimal shipment cost by solving the model using an
optimizer such as EXCEL's Solver.
(Specify as a whole number)
SUBMIT ANSWER
Transcribed Image Text:Four hospitals (1, 2, 3, 4) have their requirements for blood met through a central blood distribution office that coordinates deliveries from three blood banks (A, B, and C) on a weekly basis. The costs to ship a standard pouch of blood from each blood bank to each hospital are reported in the table below. The table also provides, for an upcoming week, the weekly number of pouches available at each blood bank and the number of pouches required, i.e. the demand, at each hospital. Blood Bank A B с Demand Hospital 1 2 3 4 $5.5 $2 $4 $6.5 $4.9 $6.9 $5.1 $4.5 $5.5 $2.5 $3.4 80 240 100 $6 190 Pouches Available 150 200 320 Develop the optimization model that obtains an optimal shipment plan that ensures that capacities at warehouses are not violated and demands are met exactly. Compute the optimal shipment cost by solving the model using an optimizer such as EXCEL's Solver. (Specify as a whole number) SUBMIT ANSWER
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