3. SCM301 Warehouse takes orders from 7 a.m. to 7 p.m. The manager wants to analyze the process and has provided the following process flow diagram. There are three steps required to ship a customer order. The first step is to take the order from a customer. The second step is to pick the order for the customer, and then they have to pack the order to ready it for shipping. The order-taking step works at a maximum rate of 100 customer orders per hour. Order picking works at a maximum of 80 per hour, and packing works at 60 per hour. Customers/ Take Orders 100 Customers/ hour 01) Customer Orders Pick Orders 80 Customers/ hour in Picked Orders Pack Orders 60 Customers/ hour Wait for Shipper/ SCM301 Warehouse wants to figure out the following: A. What is the current maximum output of the process assuming that no one works overtime? (For your answers to these questions, assume that everyone can start working at 7 a.m.) B. How long will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity all day? C. Given b, what is the maximum number of orders waiting to be picked? D. Given b, what is the maximum number of orders waiting to be packed? E. If we double the packing capacity (from 60 to 120 orders per hour), what impact does this have on your answers in parts (b), (c), and (d)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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3. SCM301 Warehouse takes orders from 7 a.m. to 7 p.m. The manager wants to analyze the
process and has provided the following process flow diagram. There are three steps required
to ship a customer order. The first step is to take the order from a customer. The second step is
to pick the order for the customer, and then they have to pack the order to ready it for shipping.
The order-taking step works at a maximum rate of 100 customer orders per hour. Order picking
works at a maximum of 80 per hour, and packing works at 60 per hour.
Customers,
Take
Orders
100 Customers/
hour
Customer
Orders,
Pick
Orders
80 Customers/
hour
Picked
Orders
Pack
Orders
60 Customers/
hour
Wait for
Shipper
SCM301 Warehouse wants to figure out the following:
A. What is the current maximum output of the process assuming that no one works overtime?
(For your answers to these questions, assume that everyone can start working at 7 a.m.)
B. How long will the picking and packing operations have to work if we have a day where the
order taker works at his maximum capacity all day?
C. Given b, what is the maximum number of orders waiting to be picked?
D. Given b, what is the maximum number of orders waiting to be packed?
E. If we double the packing capacity (from 60 to 120 orders per hour), what impact does this
have on your answers in parts (b), (c), and (d)?
Transcribed Image Text:3. SCM301 Warehouse takes orders from 7 a.m. to 7 p.m. The manager wants to analyze the process and has provided the following process flow diagram. There are three steps required to ship a customer order. The first step is to take the order from a customer. The second step is to pick the order for the customer, and then they have to pack the order to ready it for shipping. The order-taking step works at a maximum rate of 100 customer orders per hour. Order picking works at a maximum of 80 per hour, and packing works at 60 per hour. Customers, Take Orders 100 Customers/ hour Customer Orders, Pick Orders 80 Customers/ hour Picked Orders Pack Orders 60 Customers/ hour Wait for Shipper SCM301 Warehouse wants to figure out the following: A. What is the current maximum output of the process assuming that no one works overtime? (For your answers to these questions, assume that everyone can start working at 7 a.m.) B. How long will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity all day? C. Given b, what is the maximum number of orders waiting to be picked? D. Given b, what is the maximum number of orders waiting to be packed? E. If we double the packing capacity (from 60 to 120 orders per hour), what impact does this have on your answers in parts (b), (c), and (d)?
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