Challenge 2 28 Points Read Section 28 Developing Cost and Re

Challenge 2. (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 Input Length (Miles) Number of sets of locks (Locks) Locks per set (Channels) Speed through canal (Speed) Space between boats (Headway) Cycle time for lock (Hour) Hours of Operation Hours per day (Hours) Days per month (Days) Months per year (Months) Boat Characteristics Capacity (Tons/Boat) Small 30 10 Mediu Large 30 30 100 100 0.2 100 0.25 0.33 12 25 12 25 25 25 75 Boat Len 50 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 vear, 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, Florida Institute of Technology Dr. Rodrigo Mesa-Arango boatswill 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. Question 2.a. (7 Points) What is the capacity (tons/month) for 15-ton boats? Question 2.b. (7 Points) What is the capacity (tons/month) for 25-ton boats? Question 2.c. (7 Points) What is the capacity (tons/month) for 75-ton boats? uestion 2.d. (7 Points What are the most factors affecting the capacity of the canal?

Solution

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..