Problem 5 We have a large course and need n TA. We hold office hour each week. There are m time slots and each time slots need 2 TA. A TA has some time slots he/she can attend, and he/she can attend no more than 4 time slots. Design an algorithm to determine/judge whether we can satisfy the requirement. Hint: You can write "we use FF algorithm to find the max flow" and do not need to illustrate how it works.
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- Suppose we have height and weight and its corresponding Tshirt size of several customers. Your task is to predict the T-shirt size of Anna, whose height is 161cm and her weight is 61kg. Use KNN algorithm with K=5 and Square distance formula.An advantage of different emergence patterns for two species of a swarming insect is that they rarely emerge the same year to compete for food. Suppose that type A of the insect has a 5-year emergence cycle and type B of the insect has a 19-year cycle. If both species of the insect emerged during 2011 , when is the next year that both species will emerge during the same year?The dependencies between the 10 activities listed in the table above are as follows:• The project starts with two activities—A, and B—which can be done concurrently.• When activity A is finished, activity C can start• When activity B is finished, activities D and E can start• When both activities C and D are finished, activity F can start• When activity E is finished, activity G can start• When activity F is finished, activity H can start• When both activities G and H are finished, activity I can start• When activity G is finished, activity J can start• The project is complete when activities I and J are finished Questions1. Organize the information above in an activity precedence table showing the activity, precedent and duration (calculated using the PERT weighted average formula and round to the nearest integer).2. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you…
- Which of the following is NOT normally considered in the complexity analysis of algorithms? A. Best case B. Worst case C. Null case D. Average case Justify your answer with explanationsSuppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 96 21 80 38 20 60 21 50 100 15 81 06 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96 Funding for Project B 20 66 59 21 101 108 31 65 34 20 35 80 63 36 95 89 61 48 44 25 50 81 68 59 50 15 21 29 54 50 45 55 80 65 40 29 81 20 104 65 51 60 10 45 60 35 96 55 24…Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 96 21 80 38 20 60 21 50 100 15 81 06 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96 Funding for Project B 20 66 59 21 101 108 31 65 34 20 35 80 63 36 95 89 61 48 44 25 50 81 68 59 50 15 21 29 54 50 45 55 80 65 40 29 81 20 104 65 51 60 10 45 60 35 96 55 24…
- Mo. For each of the following shaded region in Figure 1, can it be the feasible region of a linear program? Suppose a company manufactures different electronic components for a computer. Component A requires 2hours of fabrication and 1hour of assembly; Component B requires 3hours of fabrication and 1hour of assembly and component C requires 2hours of fabrication and 2hours of assembly. The company has up 1000 Labour hours for fabrication and 800 labour hours assembly each week. If proof on each component A,B, and C is K7,K8 and K10 respectively.How many of each should be produced to maximize?An account on server A is more expensive than an account on server B. However, server A is faster. To see if it’soptimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certaincomputer algorithm is executed 30 times on server A and 20 times on server B with the following results:T-Value = -3.12 P-Value = 0.002 DF = 48Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at5% level of significance.
- considered a data 1,3,5,7,9,11,13,15,17,19,21,......81. how many iteration are required in linear searchDr. Barton hypothesizes that if 1st grade students are assigned to practice sight word flashcards for 10 minutes every day for their first semester, they will end up reading more books in their second semester. She creates two groups of 25 students each and gives each group the same sight word flashcards. Group A is assigned to practice with the flashcards for 10 minutes every day for their first semester. Group B is not given this assignment. Each group is tasked with keeping a reading log during their second semester. At the end of 1st grade, Dr. Barton counts how many books each group has read. Group A read 68 books, and Group B read 92 books. The control group is: The independent variable is: The dependent variable is: This study shows that there is a positive correlation between 10 minutes of daily flashcard practice of sight words and the amount of books read. T/F This study is an example of descriptive research. T/FConsider the following assignment costs tableaux. Apply the Hungarian algorithm to find the optimal assignments among the origin points and the destination points with s=13, n=5.