Question

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product:Task Time (sec) Immediate Predecessoru 30 nonev 30 uw 6 ux 12 wy 54 xz 30 v, y1. Without regard to demand, what is the minimum possible cycle time (in seconds) for this situation?A. 162B. 72C. 54D. 12E. 602. If the company desires that output rate equal demand, what is the desired cycle time (in seconds)?A. 162B. 72C. 54D. 12E. 603. If the company desires that output rate equal demand, what is the minimum number of workstations needed?A. 3B. 4C. 5D. 6E. 74. If the company desires that output rate equal demand, what would be the efficiency of this line with the minimum number of workstations?A. 100%B. 92.5%C. 75%D. 87.5%E. 90%5. If the company desires that output rate equal demand, what is the last task performed at the second workstation in the balance which uses the minimum number of workstations?A. uB. vC. wD. xE. y

Answer 1

Answer:

Part 1: C: 54 seconds

Part 2: E: 60 seconds

Part 3: A: 3 Workstations

Part 4: E: 90% Efficient

Part 5: E: y task

Explanation:

Part 1: The minimum cycle time is equal to the maximum task time which in this case is 54 so the correct option is C.

Part 2: The minimum cycle time if company desires that the output rate is equal to the demand is calculated as follows

$C=\frac{Total\, Time}{Demand}\\C=\frac{8*60*60}{480}\\C=\frac{28800}{480}\\C=60 seconds$

So The minimum cycle time is 60 seconds. The correct option is E.

Part 3: Number of stations are given as

$n_{workstations}=\frac{Total Task time}{Minimum Cycle time}\\n_{workstations}=\frac{30+30+6+12+54+30}{54}\\n_{workstations}=\frac{162}{54}\\n_{workstations}=3$

So the minimum number of stations required is 3. The correct option is A.

Part 4: Line efficiency is given as follows

$Line \, efficiency=\frac{Total Task Time}{n_{workstations} \times Minimum Cycle Time}\\Line \, efficiency=\frac{162}{3\times 54}\\Time}\\Line \, efficiency=0.9\, or \, 90\%$

So the line efficiency is 90%. The correct option is E.

Part 5: Last task should be the task with longest task length. So y is the task with longest task length. So correct option is E