a. Which step is the bottleneck for entire car wash process? For the Deluxe & Standard car wash process? b. What is the capacity (measured as customers served per hour) of Standard & Deluxe Car Wash to process customers? Assume that no customers are waiting at step A1, A2, or A8. c. If 75 percent of the customers are Standard and 25 percent are Deluxe, what is the average capacity of the car wash in customers per hour?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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2. Bill's Car Wash offers two types of washes: Standard and Deluxe. The process flow for both
types of customers is shown in the following chart. Both wash types are first processed
through steps Al and A2. The Standard wash then goes through steps A3 and then any of
the two workstations at A4 while the Deluxe is processed through steps A5, A6, and A7.
Both offerings finish at the drying station (A8). The numbers in parentheses indicate the
minutes it takes for that activity to process a customer.
A4-a
(11)
A3
(13)
A4-b
Standard
AS
A2
(9)
6
or
(7)
(12)
Deluxe
A5
A6
A7
(5)
(10)
(9)
a. Which step is the bottleneck for entire car wash process? For the Deluxe & Standard car
wash process?
b. What is the capacity (measured as customers served per hour) of Standard & Deluxe Car
Wash to process customers? Assume that no customers are waiting at step A1, A2, or A8.
c. If 75 percent of the customers are Standard and 25 percent are Deluxe, what is the
average capacity of the car wash in customers
per
hour?
Transcribed Image Text:2. Bill's Car Wash offers two types of washes: Standard and Deluxe. The process flow for both types of customers is shown in the following chart. Both wash types are first processed through steps Al and A2. The Standard wash then goes through steps A3 and then any of the two workstations at A4 while the Deluxe is processed through steps A5, A6, and A7. Both offerings finish at the drying station (A8). The numbers in parentheses indicate the minutes it takes for that activity to process a customer. A4-a (11) A3 (13) A4-b Standard AS A2 (9) 6 or (7) (12) Deluxe A5 A6 A7 (5) (10) (9) a. Which step is the bottleneck for entire car wash process? For the Deluxe & Standard car wash process? b. What is the capacity (measured as customers served per hour) of Standard & Deluxe Car Wash to process customers? Assume that no customers are waiting at step A1, A2, or A8. c. If 75 percent of the customers are Standard and 25 percent are Deluxe, what is the average capacity of the car wash in customers per hour?
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