The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver. From/To 1 2 3 Supply A 30 10 5 20 B 10 10 10 30 C 20 10 25 75 Demand 40 60 55

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver.

From/To 1 2 3 Supply
A 30 10 5 20
B 10 10 10 30
C 20 10 25 75
Demand 40 60 55  

a. Is the problem balanced?      [ Select ]    ["Yes", "it is balanced", "No", "cannot determine"]  , If not, where?      [ Select ]    ["Neither", "Supply", "Demand"]  , and by how much?      [ Select ]    ["0", "40", "30", "25"]

b. What is the optimal cost? $    [ Select ]    ["2,500", "1,100", "1,275", "1,300"]

c. Were you able to meet all demand requirement?      [ Select ]    ["no", "cannot determine based on the information given", "yes"]  If not, which destination (s) was/were not met?      [ Select ]    ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units and destination 3 by 5units", "destination 2 by 25 units and destination 3 by 5units"]

d. What if you are now requiring 15 units to be shipped from origin C to destination 3, what is the total optimal cost?      [ Select ]    ["no change, same as the original cost", "$1,400", "it reduced the cost by $25", "$1,200", "$1,375"]   

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