TriathlonCompetitor Scheduling You are trying to schedule triathlon contestants so that the triathlon completes as early in the day as possible. (The triathlon completes when all the contestants are done.) Each contestant has a projected swimming time, running time, and biking time. Since the pool is very small only one contestant can be in the pool at a time. Any number of contestants can be biking and running at the same time. The contestants first swim, then bike, and finally run. Assuming that each contestant will complete each event in their projected time, what is the best order to send the people out, if you want the whole competition to be over as soon as possible? That is, give and efficient algorithm that produces a schedule whose completion time is as early as possible. A. Specify an efficient greedy algorithm to achieve the goal of earliest completion of the competition.
B. Prove your algorithm always finds the optimal solution.
C. Analyze your algorithm's complexity.

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Now you’re on your own. include a short summary of this section with plots in your lab report. write a matlab script file to do steps (a) through (d) below. include a listing of the script file with your report. 1 the soundsc(xx, fs) function requires two arguments: the first one (xx) contains the vector of data to be played, the second argument (fs) is the sampling rate for playing the samples. in addition, soundsc(xx, fs) does automatic scaling and then calls sound(xx, fs) to actually play the signal. mcclellan, schafer, and yoder, dsp first, 2e, isbn 0-13-065562-7. prentice hall, upper saddle river, nj 07458. c 2015 pearson education, inc. 4 mcclellan, schafer and yoder, signal processing first. prentice hall, upper saddle river, new jersey, 2003. c 2003 prentice hall. (a) generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 hz sinusoids defined in the next part, part (b). use a definition for tt similar to part 2.2(d). if we use t to denote the period of the sinusoids, define the starting time of the vector tt to be equal to t , and the ending time as ct . then the two cycles will include t d 0. finally, make sure that you have at least 25 samples per period of the sinusoidal wave. in other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. (b) generate two 4000 hz sinusoids with arbitrary amplitude and time-shift. x1.t / d a1 cos.2

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