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.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
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  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.

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