Product A Step 2 at workstation X Product: A Step 1 at workstation W Finish with Step 3 at workstation Y $2 Price: $55/unit Demand: 90 units/wk (10 min) (10 min) (15 min) Raw materials $3 Purchased part Product B Step 1 at workstation X (20 min) Step 2 Product: B Finish with Step 3 at workstation Y (11 min) $5 at workstation W Price: Demand: 85 units/wk $65/unit (14 min) Raw materials $5 Purchased part A FIGURE 5.12

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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Canine Kernels Company (CKC) manufactures two different
types of dog chew toys (A and B, sold in 1,000-count boxes)
that are manufactured and assembled on three different
workstations (W, X, and Y) using a small-batch process (see
Figure 5.12). Batch setup times are negligible. The flowchart
denotes the path each product follows through the manu-
facturing process, and each product’s price, demand per
week, and processing times per unit are indicated as well.
Purchased parts and raw materials consumed during pro-
duction are represented by inverted triangles. CKC can make
and sell up to the limit of its demand per week; no penalties
are incurred for not being able to meet all the demand. Each
workstation is staffed by a worker who is dedicated to work
on that workstation alone, and is paid $6 per hour. Total
labor costs per week are fixed. Variable overhead costs are
$3,500/week. The plant operates one 8-hour shift per day, or
40 hours/week. Which of the three workstations, W, X, or Y,
has the highest aggregate workload, and thus serves as the
bottleneck for CKC?

Product A
Step 2
at workstation X
Product: A
Step 1
at workstation W
Finish with Step 3
at workstation Y
$2
Price:
$55/unit
Demand: 90 units/wk
(10 min)
(10 min)
(15 min)
Raw materials
$3
Purchased part
Product B
Step 1
at workstation X
(20 min)
Step 2
Product: B
Finish with Step 3
at workstation Y
(11 min)
$5
at workstation W
Price:
Demand: 85 units/wk
$65/unit
(14 min)
Raw materials
$5
Purchased part
A FIGURE 5.12
Transcribed Image Text:Product A Step 2 at workstation X Product: A Step 1 at workstation W Finish with Step 3 at workstation Y $2 Price: $55/unit Demand: 90 units/wk (10 min) (10 min) (15 min) Raw materials $3 Purchased part Product B Step 1 at workstation X (20 min) Step 2 Product: B Finish with Step 3 at workstation Y (11 min) $5 at workstation W Price: Demand: 85 units/wk $65/unit (14 min) Raw materials $5 Purchased part A FIGURE 5.12
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