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Hw5 sol - 1 – 4 90 11 1 – 5 370 1 A#1 B#5 1 – 6 135 6...

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HOMEWORK-5 SOLUTIONS Chapter 6 Note: Qualitative parts will be graded based on the context of the answers provided, if your approach is a rational one then a full-grade will be given for those questions. Problems 5 a. b. The minimum cycle time = maximum task time =1.2 minutes The maximum cycle time = .2 +.4 +.2 +.4 +1.2 +1.2 + 1.0 = 4.6 minutes CT) d (calculate minutes 2 day / nits u 40 2 min./day 480 output OT CT = = = c. stations 3) to (rounds 3 . 2 0 . 2 4.6 CT t N = = = d. Task Number of following tasks A 4 B 3 C 2 D 2 E 1 F 1 G 0 a b d c f e g .2 .4 .2 1.2 1.0 1.2 .4

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Assembly Line Balancing Table (CT = 2 minutes) Work Station Task Task Time Time Remaining Feasible tasks Remaining I A 0.2 1.8 B,D B 0.4 1.4 C, D D 0.4 1.0 C C 0.2 0.8 II E 1.2 0.8 III F 1.2 0.8 IV G 1.0 1.0 e. % 5 . 42 0 . 8 4 . 3 ) 2 )( 4 ( 0 . 1 8 . 8 . 8 . percent Idle = = + + + = % 5 . 57 ) 2 )( 4 ( 6 . 4 E = = 12. 3 1 4 8 Or 5 1 4 8 Or 5 1 4 6 5 2 7 6 3 2 7 6 3 2 7 8 5 1 7 8 Or 3 1 7 8 Or 3 1 4 6 3 2 4 6 5 2 4 6 5 2 7 8 3 1 7 6 Or 5 1 7 6 5 2 4 8 3 2 4 8
15. No. of trips (two way) Order of Assignment 1 2 10 1 3 5 A reasonable (intuitive) set of assignments is:
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Unformatted text preview: 1 – 4 90 11 1 – 5 370 1 A #1 B #5 1 – 6 135 6 1 – 7 125 7 C #7 D #4 E #3 1 – 8 2 – 3 360 2 F #6 G #2 H #8 2 – 4 120 8 (tie) 2 – 5 40 2 – 6 115 9 This set of assignments has a total cost of \$143,650 per day. 2 – 7 45 2 – 8 120 8 (tie) 3 – 4 350 3 Slight variations would also be reasonable, as long as departments 2, 4 and 8 are close to 3, 4 is close to 5, and 5 is close to 1. 3 – 5 110 10 3 – 6 40 3 – 7 20 3 – 8 200 4 No. of trips (two way) Order of Assignment 4 – 5 190 5 (tie) 4 – 6 70 12 4 – 7 50 4 – 8 190 5 (tie) 5 – 6 10 5 – 7 40 5 – 8 10 6 – 7 50 6 – 8 20 7 – 8 20...
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Hw5 sol - 1 – 4 90 11 1 – 5 370 1 A#1 B#5 1 – 6 135 6...

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