Tailwind, Inc., produces high-quality but expensive training shoes for runners.
ID: 380461 • Letter: T
Question
Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide more stability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily is 62. The information for the tasks is as follows: Performance Predecessors Task Time (mins) C, D E, HExplanation / Answer
As per information on tasks provided , the successors for A are B and F .
Figure 1 shows E as successor and thus is ruled out as possible option
As per fig 2 ,It is to be noted that G and H have been clubbed as single workstation whose total duration is sum of performance time of G and H =2 + 6 = 8 which exceeds maximum permissible cycle time = 6.45 minutes. Thus it is not a feasible option and is ruled out.
Thus , feasible option is Figure 3
THE CORRECT PRECEDENCE RELATIONSHIP WITH ONE OF THE POSSIBLE ASSIGNMENT OF TASKS USING THE RANKED POSITION WEIGHT TO WORKSTATIONS IS SHOWN IN : FIG 3
Cycle time for each workstation = 400 minutes/ 62 demand = 6.45 minute/unit
Total duration of all tasks = 1 + 3 + 1 +4 + 2 + 3 + 2 + 6 + 2 + 3 MINS = 27minutes
Thus number of workstations = 27/6.45 = 4.186 ( 5 rounded to nearest whole number )
Thus, efficiency of the assembly line with 5 workstations
= Total duration of all tasks / ( Number of workstations x Cycle time ) x 100
= 27/ ( 5 x 6.45) x 100
= 83.72 %
EFFICIENCY OF THE ASSEMBLY LINE = 83.72 %
Thus idle time for the assembly line per cycle
= Number of workstations x Cycle time – Duration of all tasks
= 5 x 6.45 – 27
= 32.25 – 27
= 5.25 minutes
IDLE TIME FOR THE ASSEMBLY LINE PER CCYCLE = 5.25 MINUTES
THE CORRECT PRECEDENCE RELATIONSHIP WITH ONE OF THE POSSIBLE ASSIGNMENT OF TASKS USING THE RANKED POSITION WEIGHT TO WORKSTATIONS IS SHOWN IN : FIG 3
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.