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5. Super Fun Industries manufactures four top-selling toys code named A-148. B-3

ID: 391935 • Letter: 5

Question

5. Super Fun Industries manufactures four top-selling toys code named A-148. B-356, B-457, and C-843. The fol- lowing table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super Fun's manufacturing plant is open 16 hours a day. 5 days a week.and 8 hours on Saturday. | A-148 6 min B-356 5 min 4 min4 min B-457 0 min 5 min C-843 8 min 2 min : Processing Time Station Processing Time Station 2 Processing Time Stat ion 3 Processing Time Station 4 5 min 7 min min 2 min o min 10 min 1 min 3 min a. If only toy A-148 is produced duríng a specific week. how many units could be produced? b. If weckly demand for the four products are A-148 200 units. B-356-E 250 units, B-457-250 units, and C-843- 300 units, which station is the bottleneck. and is it capable of producing all the toys demanded?

Explanation / Answer

Total time available = 16*60*5 + 8*60 (Sat) = 5280 minutes

For toy A-148, the bottleneck is Station 1 that takes 6 minutes. So units produced is equal to capacity at Station 1 = Total time/ Processing time Station 1 = 5280 / 6 = 880 units

Total time available = 5280 minutes (Calculated above)

For the given demand,

Total processing time required Station 1 = 6 * 200 + 5*200 + 0* 250 + 8*300 = 4600 minutes

Station 2 = 4 * 200 + 4*200 + 5* 250 + 2*300 = 3450 minutes

Station 3 = 5 * 200 + 7*200 + 4* 250 + 2*300 = 4000 minutes

Station 4 = 3 * 200 + 0*200 + 10* 250 + 1*300 = 3400 minutes

As per calculation, processing time required at each station is less than total time available at each station , hence demand will be met and process is capable of producing all toys demanded.

Processing Station 1 takes the most time and is the bottleneck for the overall production. Bottleneck by each product

A-148 - Station 1

B-356 - Station 3

B-457 - Station 4

C843 - Station 1

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