There are two algorithms called alg1 and alg2 for a problem of size n. alg1 runs in n2 microseconds and alg2 runs in 100n log n microseconds. alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of cpu time to develop. on the other hand, alg2 requires 15 hours of programmer time and 6 minutes of cpu time to develop. if programmers are paid 20 dollars per hour and cpu time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using alg2 in order to justify its development cost?

Consider a slotted aloha system, where the time slot equals the fixed duration of each packet. assume that there are 4 stations a,b,c,d sharing the medium. (a) stations a,b,c,d receive one packet each from higher layers at times 1.3, 1.5, 2.6,5.7 respectively. show which transmissions take place when, according to the slottedaloha protocol; describe all transmissions until all four packets have been successful.when needed, each station has access to the following sequence of random number, provided by a random number generator and drawn uniformly between 0 and 1: (1) station a draws numbers: 0.31, 0.27, 0.78, 0.9, 0.9, 0.11, 0. (2) station b draws numbers: 0.45, 0.28, 0.11, 0.83, 0.37, 0.22, 0. (3)station c draws numbers: 0.1, 0.2, 0.3, 0.4, 0. (4) station d draws numbers: 0.36, 0.77, 0.9, 0.1, 0.1, 0.1, 0.1, 0. (b) in slotted aloha, a station transmits in each time slot with a given probability. what probabilities would you assign to each of the four stations so as to: (i) maximize the efficiency of the protocol? (ii) maximize fairness among the four stations? (c) will the efficiency increase or decrease if we modify slotted aloha as follows: (i) get rid of slots and allow stations to transmit immediately? (ii) implement carrier sensing? (iii) implement collision detection? (iv) implement collision avoidance?

Selling a product through an electronic medium is

Enzo’s balance sheet for the month of july is shown. enzo’s balance sheet (july 2013) assets liabilities cash $600 credit card $4,000 investments $500 student loan $2,500 house $120,000 mortgage $80,000 car $6,000 car loan $2,000 total $127,100 total $88,500 which expression finds enzo’s net worth?