can you help me in Discrete Mathematics
zaidan100
(A) Perform eCompanion CS208 Self Checks HW1-SC1 and HW1-SC2 (B) For the following questions, write your answer either on a hardcopy paper to turn in at the beginning of the class, or in an electronic document (in .doc or .txt format) to submit to the homework dropbox by the deadline. (B.1) (Similar to Exercise 1.1 Question 10 on page 9) Given the following table, make a PERT diagram, and determine the project time and the critical path. Provide a justification on how you obtain your project time and critical path.
Task Time Preceding Tasks A 3 None B 2 None C 4 A D 5 A,B E 3 B F 2 C,E G 3 D, F
(B.2) You are given the following files or assumptions: (a) The course rotation scheme for CS/IS 16-week Parkville classes. (file name Course_Rotation.pdf) (b) The course rotation scheme for CS 8-week online classes. (file name Course Rotation.pdf) (c) Except for above (b), you may assume that all other 8-week online classes offered every term every year. (d) Face-to-face CS/IS courses will not be offered during the summer. Using your own degree audit and factoring in your personal preference (i.e., face-to-face, online, number of classes to take per semester/term), for all the CS and IS classes that you have not taken, find out how many semesters/terms that you need to complete your desired degree. To obtain the maximum point for this problem, you need to submit (a) your degree audit, (b) the PERT diagram for your untaken classes, (c) the number of semesters to complete all your untaken classes, and (d) the critical path. (B.3) Propose a real-life problem that can use PERT technique to solve the problem. To obtain the maximum credit for this problem, you need to submit your proposed problem, your solution of the PERT diagram, and the critical path. See the appendices of this document for examples of real-life problems that were proposed by the CS/MA208 students in the past.
(B.4) Extra Credit For the student who proposes an interesting and creative problem in above (B.3), the instructor may request him/her to make 2 presentations: (A) in class at the end of the semester, (B) a poster presentation at the “Student Research and Creative Arts Symposium” sometime between the first week and the second week of April 2015. Since the actual poster presentation won’t occur until spring semester, the student must register into the Student Research and Creative Arts Symposium by the end of this semester. If the selected student will make both presentations, he/she will obtain extra 3% course grade at the end of the semester. (B.5) (Similar to Exercise 2.1 Question 18 on page 47) Use Theorems 2.1 and 2.2 to simplify expression: )()( XYXY . You must show the detailed, step-by-step, simplification and justification, as in the example shown in the weekly Supplement. (B.6) (Similar to Exercise 2.1 Question 22 on page 47) Use Theorems 2.1 and 2.2 to simplify expression: XYX )( . You must show the detailed, step-by-step, simplification and justification, as in the example shown in the weekly Supplement.
Appendix A
Problem: Time to find Bin Laden How many total days for the U.S. military to find Osama Bin Laden. Givens: 1) He is only in Afghanistan and intelligence says he is at one of the militia bases. 2) Because of the Patriot act we can use any force in any country that harbors terrorists. 3) Assume we will catch him during the interrogation of the 5th base. According to Globalsecurity.org there are 15 militia bases total that will be bombed and searched. It takes two days for one B-2 bombers and two F-15’s to precision bomb each militia base. The government allows enough support to bomb one militia base every week (7 days), and experts say the most effective way to bomb is from north to south. After each bombing is complete the Army rangers are to go through and search the bases. The search takes five days per base; because of importance of this operation there is enough man power to search any base after it is bombed. Once the base has been cleared, interrogation experts will question prisoners, this will take one day.
Appendix B
Problem: Time To Buy a House You've just been pre-approved to buy a $150,000 home. With the pre-approval letter in hand, you are sure you have already found the house of your dreams. You have noticed the house is for sale-by-owner and you choose to use no agent as well. Knowing what needs to be done, you make note of how long each step of the process will take to determine how quickly you can move in. First, you must make an offer [1 day], then the offer must be accepted [1 day]. After that you must submit a formal mortgage application with all your needed documents [5 days]. While waiting for the application acceptance letter [6 days]: the seller must provide you with a disclosure of the home's history of problems [4 days], you can go ahead and get your home inspection [5
days], and shop around and obtain home owner's insurance [11 days]. After you have received your acceptance letter from the mortgage company, you will have to close on the house [1 day]. Lastly, you make a recording at the county office and obtain possession of the house [3 days]. Note: Assume for this problem that both your offer and your application are accepted or approved. Also, the above items are in the correct order and therefore each step of the process can be assigned a letter from the alphabet. Please use the PERT method to figure out the critical path and the total projection time (in days) from offer to possession.
Appendix C PROBLEM: Time to extract a mineral gold from two tones of rocks excavated from the gold mine pit This project requires a Mineral Processing Engineer to extract a mineral gold from about two tones of rocks dug or excavated from a gold mine hole or pit. Some of the steps involve are leaching with cyanide solution, crushing with mine machines, grinding with some appropriate machines, electrowinning using electrolytes, absorption with activated carbon, smelting using a hot furnace, stripping of the absorbed activated carbon with some acids and refining to get the final gold. The student will use the full setup of a mine plant at Bonte Gold Mine to complete this project where time to complete grinding, crushing and absorption are 4, 2, and 5 days respectively. The student cannot do absorption until leaching for 8 days. The smelting, refining and stripping also take 1, 2, and 4 days respectively. If the student used 4 days for electrowinning, determining the Critical Path and the Project Time using a table of Task, Time and Precedents and PERT analysis. Note, let A represents the first step, B the second in that order.