Challenge 4. (28 Points). Read Section 2.8. \"Developing Cost and Revenue Functi

Question

Challenge 4. (28 Points). Read Section 2.8. "Developing Cost and Revenue Functions for a Nineteenth Century Canal" in the textbook, and use the concepts/methods related to the lectures on System Performance to address the following challenge Table 1: Design and Operations Parameters Small Medium Large Length (Miles) Number of sets of locks (Locks 10 Locks per set (Channels) Speed through canal (Speed) Space between boats (Headway) 100 Cycle time for lock (Hour) Hours of Operation 10 10 100 0.25 100 0.33 0.2 25 Days per month (Days) Months per year (Months) 25 Capacity (Tons/Boat) Length (Boat Length The capacity of a canal (maximum throughput measured in tons of cargo) could be estimated for various time periods, e.g. a peak day with 12 hours of operation; a peak summer month with 12 hours operation, 7 days/week; for a year, with operations ceasing during the winter and during major storms. Boats can tie up for the night at either end of the canal or at frequent locations along the length of the canal; as a result, boats will likely be dispersed all along the canal at the beginning and end of the day. Assume a canal that is 30- miles long, has 10 locks (1 lock at each of 10 locations), and is wide enough for 2 boats to pass. Table 1 provides additional design parameters.

Explanation / Answer

in this problem we have to find the qyantity of water required to the different boats here the discharge of wateris taken in terms of tons/month

2a) The capacity of 15 tons boat in tons/month is given as 144 (12x25x0.2x30x40x2/1000)

2b) The capacity of 25 tons boat in tons/month is given as 225 (12x25x0.25x30x50x2/1000)

2c) The capacity of 75 tons boat in tons/month is given as 356.4 (12x25x0.33x60x30x2/1000)

2d) Factors affecting the capacity of canalare given below

1. Length of the canal and width and depth of thecanal

2.Speed of the water flowing in the canal

3. Speed of cycle time for operation of locks and number of set of locks and other charecteristics of the gates

4. Boat dimensions ad spacing between the boats and etc..

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