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Given the following data: Run Time Per unit in Item Setup Time Standard Number P

ID: 395500 • Letter: G

Question

Given the following data:

                                                                                                                        Run Time

                                                                                                                      Per unit in

            Item                                                                     Setup Time           Standard

            Number              Period             Quantity              (Hours)               Hours

            KE738                    3                        400                       3.6                  0.45

            KR376                    4                        550                       2.7                  0.25

            KM276                   4                        800                       1.6                  0.70

            KW718                   5                        200                       4.0                  0.15

            KJ395                     5                        350                       3.9                  0.60

            KA729                    3                        100                       5.6                  0.20

            KP237                    4                        700                       1.0                  0.55

            KF823                    5                        300                       7.2                  0.15

            KH489                    3                        600                       6.6                  0.80

            KE812                    3                        300                       3.9                  0.35

(a) What are the workloads for periods 3, 4, and 5?

(b) There are 168 hours of operating time per machine each period. How many machines should be operated for periods 3, 4, and 5?

Explanation / Answer

Refer belowtable for reference :

Item Number

Period

Quantity

Set up time ( Hours)

Run time ( Hours/ unit)

Total time ( Hrs)

KE738

3

400

3.6

0.45

183.6

KA729

3

100

5.6

0.2

25.6

KH489

3

600

6.6

0.8

486.6

KE812

3

300

3.9

0.35

108.9

KR376

4

550

2.7

0.25

140.2

KM276

4

800

1.6

0.7

561.6

KP237

4

700

1

0.55

386

KW718

5

200

4

0.15

34

KJ395

5

350

3.9

0.6

213.9

KF823

5

300

7.2

0.15

52.2

It is to be noted that :

a)Thus:

Workload for period 3 = 400 + 100 + 600 + 300 = 1400

Workload for period 4 = 550 + 800 + 700 = 2050

Workload for period 5 = 200 + 350 + 300 = 850

b)Total operating time for period 3 = 183.6 + 25.6 +486.6 + 108.9 = 804.70 hours

Total operating time for period 4 = 140.2 + 561.6 +386 = 1087.8 hours

Total operating time for period 5 = 34 + 213.9 + 52.2 = 300.1 hours

Total operating hours per machine = 168 hours

It is to be noted that :

Number of machines required for any period

= Total operating time for that period / Operating hours per machine ( rounded to next higher whole number )

Therefore,

Number of machines should be operated for period 3 = 804.70 /168 = .789 ( 5 rounded to next whole number )

Number of machines should be operated for period 4 = 1087.8 /168 = 6.475 ( 7 rounded to next higher whole number)

Number of machines should be operated for period 5 =

Number of machine should be operated for period 3 = 300.10 /168 = 1.78( 2 rounded to next higher whole number)

Item Number

Period

Quantity

Set up time ( Hours)

Run time ( Hours/ unit)

Total time ( Hrs)

KE738

3

400

3.6

0.45

183.6

KA729

3

100

5.6

0.2

25.6

KH489

3

600

6.6

0.8

486.6

KE812

3

300

3.9

0.35

108.9

KR376

4

550

2.7

0.25

140.2

KM276

4

800

1.6

0.7

561.6

KP237

4

700

1

0.55

386

KW718

5

200

4

0.15

34

KJ395

5

350

3.9

0.6

213.9

KF823

5

300

7.2

0.15

52.2

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