# task problem set 6 / due date: mar 16, 2014

## Project Description:

task problem set 6

due date: mar 16, 2014 23:59:59 max points: 90

details: complete problems 9.13, 9.17, 10.29, e.3, e.5, and e.6 in the textbook.
for problems requiring computations, please ensure that the excel file includes the associated cell computations; this information is needed in order to receive full credit on these problems.
note that for problems that require diagrams, it is suggested that the student use microsoft visio. microsoft powerpoint or the drawing tools provided by microsoft excel may also be used.
you are not required to submit this task to turnitin, unless otherwise directed by your instructor. if so directed, refer to the student success center for directions. only word documents can be submitted to turnitin.
9.13 sue helms appliances wants to establish an assembly
line to manufacture its new product, the micro popcorn popper.
the goal is to produce five poppers per hour. the tasks, task
times, and immediate predecessors for producing one micro
popcorn popper are as follows:
task time immediat
(min) predecessors

a 10 —
b 12 a
c 8 a, b
d 6 b, c
e 6 c
f 6 d, e
a) what is the theoretical minimum for the smallest number of
workstations that helms can achieve in this assembly line?

b) graph the assembly line and assign workers to workstations.
can you assign them with the theoretical minimum?

c) what is the efficiency of your task?
9.17 the mach 10 is a one-person sailboat manufactured
by creative leisure. the final assembly plant is in cupertino,
california. the assembly area is available for production of the
mach 10 for 200 minutes per day. (the rest of the time it is busy
making other products.) the daily demand is 60 boats. given the
information in the table on the next page,

a) draw the precedence diagram and assign tasks using five
workstations.
b) what is the efficiency of the assembly line, using your answer
to (a)?

c) what is the theoretical minimum number of workstations?
d) what is the idle time per boat produced?
task performance time task must follow
(min) task listed below
a 1 —
b 1 a
c 2 a
d 1 c
e 3 c
f 1 c
g 1 d, e, f
h 2 b
i 1 g, h
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?
observations (seconds) performance
element 1 2 3 4 5 rating (%)
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.
element

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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