An insulated, electrically-heated (100 kW) tank contains 400 kg of water at 65°C when its power is lost. Water is withdrawn at a steady rate of 0.4 kg/s and cold water (at 12°C) enters the tank at the same rate. Assume the tank is well-mixed, and neglect heat gains or losses through the tank walls.  For the water, c=cp=cv=4200 J/kg C (a) Create a script (m-file) in MATLAB to calculate how long will it take for the tank’s temperature to fall to 25°C. (b) Display the entire program code used for your script created in MATLAB. Make sure that running the script provides a numeric result and include your name as a comment.

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.