1. Transportation costs per ton of product vary with distance. For trucks the function is: TCt = 3+1.25d For rail it is: TCr = 5+d For barge it is: TCb = 6 + 1.1d where d is the distance in hundreds of miles and TC is dollars per ton. Make a table showing the least cost mode of transport for distances d = 1, 2, ...,10. Graph the problem and label the modal break points clearly. No graph paper, max 50% points on assignment.

1. Transportation costs per ton of product vary with distance. For trucks the function is: TCt = 3+1.25d For rail it is: TCr = 5+d For barge it is: TCb = 6 + 1.1d where d is the distance in hundreds of miles and TC is dollars per ton. Make a table showing the least cost mode of transport for distances d = 1, 2, ...,10. Graph the problem and label the modal break points clearly. No graph paper, max 50% points on assignment.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)
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