10.25 Peter Rourke, a loan processor at Wentworth Bank,

has been timed performing four work elements, with the results

shown in the following table. The allowances for tasks such as this

are personal, 7%; fatigue, 10%; and delay, 3%

Task element Rating % Observations in minutues

1 2 3 4 5BSERVATIONS (MINUTES)

1 2 3 4 5

1 110 .5 .4 .6 .4 .4

2 95 .6 .8 .7 .6 .7

3 90 .6 .4 .7 .5 .5

4 85 1.5 1.8 2.0 1.7 1.5

a) What is the normal time?

b) What is the standard time?

10.29 The Dubuque Cement Company packs 80-pound

bags of concrete mix. Time-study data for the filling activity are

shown in the following table. Because of the high physical demands

of the job, the company’s policy is a 23% allowance for workers.

a) Compute the standard time for the bag-packing task.

b) How many observations are necessary for 99% confidence,

within {5% accuracy?

Element Observation in seconds Rating

OBSERVATIONS (SECONDS) PERFORMANCE

1 2 3 4 5 RATING (%)

Grasp and place bag 8 9 8 11 7 110

Fill bag 36 41 39 35 112a 85

Seal bag 15 17 13 20 18 105

Place bag on conveyor 8 6 9 30b 35b 90

aBag breaks open; included as delay in the allowance factor.

bConveyor jams; included as delay in the allowance factor.

􀁲 E.3 If Professor Laurie Macdonald takes 15 minutes to

grade the first exam and follows an 80% learning curve, how long

will it take her:

a) to grade the 25th exam?

b) to grade the first 10 exams?

E.5 Beth Zion Hospital has received initial certification

from the state of California to become a center for liver transplants.

The hospital, however, must complete its first 18 transplants

under great scrutiny and at no cost to the patients. The

very first transplant, just completed, required 30 hours. On the

basis of research at the hospital, Beth Zion estimates that it will

have an 80% learning curve. Estimate the time it will take to complete:

a) the 5th liver transplant.

b) all of the first 5 transplants.

c) the 18th transplant.

d) all 18 transplants.

E.6 Refer to Problem E.5. Beth Zion Hospital has just

been informed that only the first 10 transplants must be performed

at the hospital’s expense. The cost per hour of surgery is

estimated to be $5,000. Again, the learning rate is 80% and the

first surgery took 30 hours.

a) How long will the 10th surgery take?

b) How much will the 10th surgery cost?

c) How much will all 10 cost the hospital?

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