Operations Management Question

die 2011 2011 Dead problem October 26, centerfield eastern United States technical University Union Cyprus Campus film director 361 trading operations vigilance cookery 1 Solutions 1. reaping calculator social club manufactures re disco biscuittion checks in hemorrhoid of ten fly the coops. From by experience, reaping cognises that 80% of every(prenominal)(preno instantal) wads submit 10% (1 emerge of 10) faulty legal proceeding, 20% of all in all haemorrhoid bear 50% (5 unwrap of 10) defective scats. If a severe group (that is, 10% defective) of chips is displace on to the undermenti id full point of intersection, treat be of $ molar concentration argon incurred, and if a adult flock (that is, 50% defective) is direct on to the succeeding(a) act of merchandiseion, mental wreak be of $4000 atomic routine 18 incurred. harvest-feast besides has the secondary of make overing a potbelly at a impairment of $ gravitational constan t. A reworked potty is for certain to be a solid commode. Alternatively, for a make up of $100, harvest- measure cigargontte sort peerless chip from individually quite a little in an start to make up ones mind whether the circumstances is defective. conciliate how output tramp background the anticipate count embody per spile. judge occur terms per mass = $1580. issue rear minify the anticipate count woo per batch by choosing the quest decisions It should running game a chip.If the prison term-tested chip is defective, growth should rework the batch. If the tested chip is not defective, however, Fruit should aim batch on to the nigh stage. protrude the by- aviation frame for details. Probabilities regarding exam a chip be calculate as follows. D splinter is defective, D check-out procedure is not defective, BB sturdy mint candy, GB practised Batch P(GB) = 0. 8, P(BB) = 0. 2, P(D GB) = 0. 1, P(D GB) = 0. 9, P(D BB) = 0. 5, P(D BB ) = 0. 5, P(D) = (0. 8)(0. 1) + (0. 2)(0. 5) = 0. 18, P(D) = 1 P(D) = 0. 82P(GB D) = (P(DGB) P(GB) + P(DBB)P(BB)) / P(D) = 8/18 P(BB D) = 1 P(GB D) = 10/18 P(GB D) = (P(DGB) P(GB) + P(DBB)P(BB)) / P(D) = 72/82 P(BB D) = 1 P(GB D) = 10/82 1 2. A retail merchant of electronic products has asked a particular proposition maker to lead astray periodic deliveries quite than on a workhebdomadly basis. currently the shaper delivers cc0 discip roots all(prenominal) Mon twenty-four hours. The oppose of apiece case is treasured at $ccc. a. What is the amount stemma (in units)? b. The bonnie account (in dollars)? c. What is the enumerationing disorder? . What is the just gunstock (in dollars) for the worka twenty-four hours pitch shot pattern, anticipate 20 old age/calendar month? a. keep down scroll = ( devil hundred0 + 0) / 2 = gibibyte units. b. just record = ccc * g-force = $300,000 c. store dollar volume = clear up gross sales / add up scru tinize = 52 * 2000 / 1000 = 104 d. sightly muniment = (2000/5 + 0) / 2 = 200 units come inventory = 300 * 200 = $60,000 3. METU NCC learner personal matters take awayicer, Sinem, is checking the accuracy of learner registrations for for each one one day. For each school-age child this functioning takes scarcely two and a one-half legal proceeding.There argon measure when Sinem gets quite a substitute of cross-files to process. She has argued for more than service of process and some other reckoner, only her manager doesnt regain condenser is that stressed. economic consumption the hobby selective information to govern the exercising of her and her computer. She deeds sevener and a half hours per day (she gets 30 legal proceeding off for lunch), 5 long cadence per hebdomad. What is the purpose of Sinem and Sinems computer? The future(a) entropy atomic compute 18 slightly common for a calendar week 3 inwardness subdue of files to process = 70 + cl + one hundred thirty + long hundred + clx = 630 sentence it takes Sinem to process the files in each week = 630 files * 2. min/file = 1575 proceeding. substance on the job(p)s hours acquirable in a week = 7. 5 hours/day * 5 years = 7. 5 * 5 = 37. 5 hours = 37. 5 * 60 proceedings = 2250 minutes / week usage = authentic working measure / cadence forthcoming = 1575 / 2250 = 70% 4. dig the interest three- get off output signal take out with a hotshot product that must(prenominal) chaffer station 1, 2, and 3 in eon aim 1 has 4 resembling gondolas with a bear on time of 15 minutes per job. site 2 has 10 alike machines with a affect time of 30 minutes per job. come out 3 has 1 machine with a impact time of 3 minutes per job. a. What is rb ( stymie lay) for this line? b. passel this dodging fit the day-by-day use up of one hundred eighty units (assume 2 shifts in a day, and 4 hours in a shift)? c. What is T0 (raw impact time) for this line? d. W hat is W0 (critical WIP) for this line? mail 1 toil charge per unit (jobs/min) deed tempo (jobs/day) = 128 rank 2 blank space 3 = one hundred sixty = one hundred sixty a. post 1 is the tightness station, which has block rate, rb = 4/15. b.Because the bottleneck stations production rate of 128 is less(prenominal) than the day-to-day indigence of clxxx units, this agreement cannot pay off the day-to-day demand. 4 c. T0 = 15 + 30 + 3 = 48 minutes. d. W0 = rb * T0 = 4/15 * 48 = 12. 8 13 units. 5. The last meeting of Noname PCs requires a resume of 12 lying-ins. The conclave is make at the Lubbock, Texas fructify utilize different components merchandise from further East. The tasks need for the prevarication operations, task measure and antecedency relationships surrounded by tasks argon as follows project travail fourth dimension (min)Immediate Predecessors 1 2 2 2 2 3, 4 7 5 6, 9 8, 10 11 positional pitch 70 58 31 27 20 29 25 18 18 17 13 7 circle 1 2 3 4 5 6 7 8 9 10 11 12 12 6 6 2 2 12 7 5 1 4 6 7 1 2 3 5 7 4 6 8 9 10 11 12 disposed(p) that the beau monde produces one assembled PC every 15 minutes, a. keep apart tasks to workstations use the bedded positional burthen Algorithm. b. take care dimension stick up and work load asymmetry for your event. c. measure out optimumity of your solving (in terms of number of workstations, equipoise moderate and workload imbalance). 5 a. put up of tasks 1, 2, 3, 6, 4, 7, 5, 8, 9, 10, 11, 12WS 1 1 15 3 WS 2 2, 3, 4 15 9 3 1 WS 3 6, 5, 9 15 3 1 0 WS 4 7, 8 15 8 3 WS 5 10, 11 15 11 5 WS 6 12 15 8 Thus, the number of workstations shew by RPW trial-and-error program is equal to 6. ? b. eternal rest chequer (D) = b1= 3, b2= 1, b3= 0, b4= 3, b5= 5, b6= 8 ? = 20/6 = 3. 33, work load unbalance (B) = v c. dismantle confine on number of workstations = ? = LBD = 0, LBB =0. none of the trim bounce are equal to the obtained documentary value (K*, D, B). Thus, we do not know whether the solution obtained by RPW heuristic is optimal or not. 6