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An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day.

**a.** What are the minimum and maximum cycle times? **(Round your answers to 1 decimal place.)**

Minimum cycle time minutes

Maximum cycle time minutes

**b.** What range of daily output is theoretically possible for the line? **(Round your answers to 1 decimal place. Enter the smaller value in the first box and the larger value in the second box.)**

Range of output to units/day

**c.** What is the minimum number of workstations needed if the maximum output rate is to be sought? **(Round up your answer to the next whole number.)**

Minimum number of workstations

**d.** What cycle time will provide an output rate of 125 units per day? **(Round your answer to 1 decimal place.)**

Cycle time min/cycle

**e.** What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes?

Cycle TimePotential Output

(1) units

(2) units

As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:

TaskDuration

(minutes)Immediate

Predecessor

a0.2-

b0.4a

c0.2b

d0.4-

e1.2d

f1.2c

g1.0e, f

Do each of the following:

**b.** Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. **(Round your answers to 1 decimal place.)**

The minimum cycle time minutes per unit

The maximum cycle time minutes per unit

Calculated cycle time minutes per unit

**c.** Determine the minimum number of stations needed. **(Round your answer to the next whole number.)**

Minimum number of stations

**d.** Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.

Work stationsFollowing Tasks

I (Click to select) D, C, A A, B, C,D A D, B, C A, B, D, C

II (Click to select) C, F, B D, C, A A B,E E

III (Click to select) B F, G E F C

IV (Click to select) E, F C, D A, B, C E G

**e.** Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. **(Round your answer to 2 decimal places. Omit the "%" sign in your response.)**

Percentage of idle time %

Problem 6-7

For the set of tasks given below, do the following:

TaskTask

Time(seconds)Immediate

Predecessor

A 45 -

B 11 A

C 9 B

D 50 -

E 26 D

F 11 E

G 12 C

H 10 C

I 9 F, G, H

J 10 I

193

**b.** Determine the minimum and maximum cycle times in seconds for a desired output of 500 units in a seven-hour day. **(Round your answers to 1 decimal place.)**

The minimum cycle time seconds

The maximum cycle time seconds

**c.** Determine the minimum number of workstations for output of 500 units per day. **(Round up your answer to the next whole number.)**

Minimum number of workstations

**d.** Balance the line using the *greatest positional weight* heuristic. Break ties with the *most following tasks* heuristic. Use a cycle time of 50 seconds.

Work stationsFollowing Tasks

I (Click to select) D E B C A

II (Click to select) F C A D B

III (Click to select) A, E, C A C B B, E, C

IV (Click to select) G, H C G F, A, G G, F, H, I

V (Click to select) J B A D C

**e.** Calculate the percentage idle time for the line using the 50 second cycle time. **(Round your answer to 1 decimal place. Omit the "%" sign in your response.)**

Percentage of idle time %

Problem 6-3

A manager wants to assign tasks to workstations as efficiently as possible, and achieve an hourly output of 4 units. The department uses a working time of 56 minutes per hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules:

**a.** In order of most following tasks. Tiebreaker: greatest positional weight.

Work StationTasks

I (Click to select) A, G I E, H D, B, C F, A, G

II (Click to select) E, H I F, A, G D D, B, C

III (Click to select) E, H I H F, A, G D, B, C

IV (Click to select) F, A, G E, H B,E I H

**b. **In order of greatest positional weight.

Work StationTasks

I (Click to select) C, D F, D G, H D, C F, G

II (Click to select) E, H G, A, B G, H F, A, G B, C

III (Click to select) C, E A F, G B,E D, C, F

IV (Click to select) B,E H H, I G A

**c.** What is the efficiency? **(Round your answer to 2 decimal places. Omit the "%" sign in your response.)**

Efficiency %

8-2

The owner of Genuine Subs, Inc., hopes to expand the present operation by adding one new outlet. She has studied three locations. Each would have the same labor and materials costs (food, serving containers, napkins, etc.) of $2.00 per sandwich. Sandwiches sell for $2.80 each in all locations. Rent and equipment costs would be $5,450 per month for location A, $5,725 per month for location B, and $5,975 per month for location C.

**a.** Determine the volume necessary at each location to realize a monthly profit of $10,250. **(Do not round intermediate calculations. Round your answer to the nearest whole number.)**

LocationMonthly Volume

A

B

C

**b-1.** If expected sales at A, B, and C are 24,250 per month, 21,250 per month, and 23,250 per month, respectively, calculate the profit of the each locations? **(Omit the "$" sign in your response.) **

LocationMonthly Profits

A$

B$

C$

**b-2.** Which location would yield the greatest profits?

Location C

Location B

Location A

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An assembly line with 17 tasks is ...

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please ...

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For the set of tasks given...

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