A manufacturing facility makes a product, the manufacturing process for which co

Question

A manufacturing facility makes a product, the manufacturing process for which consists of tasks A, ... , H and requires that these be completed in an order that obeys a set of precedence requirements. The following table gives the performance time in minutes/unit and the preceding task(s) for tasks A, ... , H.

Task

Performance Time (minutes/unit)

Preceding Task

A

3

n/a

B

6

n/a

C

4

A, B

D

3

C

E

2

D

F

5

D

G

5

E, F

H

6

G

The facility operates 7 hours/shift, 2 shifts per day, 5 days a week. If each task is assigned to its own work station, what is the throughput, i e. the number of units that can be manufactured per week?

Task

Performance Time (minutes/unit)

Preceding Task

A

3

n/a

B

6

n/a

C

4

A, B

D

3

C

E

2

D

F

5

D

G

5

E, F

H

6

G

Explanation / Answer

time taken for first unit of H is 6 + 5 + 5 + 3 + 4 + 6 = 26 minutes

and then on 6 minutes each.

so total units manufactured in a shift = 390/6 + 1 = 66 units.

Hence total of 660 units will be manufactured in a week

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