Which of the three workstations, W, X, or Y, has the highest aggregate workload, and thus serves as the bottleneck for EU Company? Determine the profit by the bottleneck method advocated by supervisor is used to select the product mix?

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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EU Company manufactures two different types of life vests (A and B) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see Figure 1). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing 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 production are represented by inverted triangles. EU 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 for an entire week, regardless of how much the worker is used. Total labor costs per week are fixed. Variable overhead costs are $1,500/week. The plant operates one 8-hour shift per day, or 40 hours/week.

 

  1. Which of the three workstations, W, X, or Y, has the highest aggregate workload, and thus serves as the bottleneck for EU Company?
  2. Determine the profit by the bottleneck method advocated by supervisor is used to select the product mix?         
Product A
Step 1
at workstation W
Step 2
at workstation X
Product: A
Finish with step 3
at workstation Y
$2
$55/unit
Demand: 90 units/wk
Price:
(10 min)
(10 min)
(15 min)
Raw materials
$3
Purchased part
Product B
Step 1
at workstation X
Step 2
at workstation W
Finish with step 3
Product: B
$5
$65/unit
Demand: 85 units/wk
at workstation Y
Price:
(20 min)
(14 min)
(11 min)
Raw materials
$5
Purchased part
Transcribed Image Text:Product A Step 1 at workstation W Step 2 at workstation X Product: A Finish with step 3 at workstation Y $2 $55/unit Demand: 90 units/wk Price: (10 min) (10 min) (15 min) Raw materials $3 Purchased part Product B Step 1 at workstation X Step 2 at workstation W Finish with step 3 Product: B $5 $65/unit Demand: 85 units/wk at workstation Y Price: (20 min) (14 min) (11 min) Raw materials $5 Purchased part
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