Wally's Widget 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 75 per hour, and packing works at 60 per hour. Customers Order Taker 100 Customers/ hour Current maximum output Pick orders Pack orders Customer Orders/ Pick Orders 75 Customers/ hour hours hours Picked Orders/ Wally wants to figure out the following. a. What is the current maximum daily output of the process assuming that no one works overtime? (i.e., meaning all three operations work a 12-hour shift) units per day Pack Orders 60 Customers/ hour Wait for Shipper b. How long (in hours) will the picking and packing operations have to work to finish all the orders that were taken if we have a day where the order taker works at his maximum capacity? (Round your answers to 1 decimal place.)

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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Wally's Widget 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 75 per hour, and
packing works at 60 per hour.
Customers
Order
Taker
100 Customers/
hour
Current maximum output
Pick orders
Pack orders
Customer
Orders
Pick
Orders
75 Customers/
hour
hours
hours
Picked
Orders
Wally wants to figure out the following.
a. What is the current maximum daily output of the process assuming that no one works overtime? (i.e., meaning all three operations
work a 12-hour shift)
units per day
Pack
Orders
60 Customers/
hour
Wait for
Shipper
b. How long (in hours) will the picking and packing operations have to work to finish all the orders that were taken if we have a day
where the order taker works at his maximum capacity? (Round your answers to 1 decimal place.)
Transcribed Image Text:Wally's Widget 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 75 per hour, and packing works at 60 per hour. Customers Order Taker 100 Customers/ hour Current maximum output Pick orders Pack orders Customer Orders Pick Orders 75 Customers/ hour hours hours Picked Orders Wally wants to figure out the following. a. What is the current maximum daily output of the process assuming that no one works overtime? (i.e., meaning all three operations work a 12-hour shift) units per day Pack Orders 60 Customers/ hour Wait for Shipper b. How long (in hours) will the picking and packing operations have to work to finish all the orders that were taken if we have a day where the order taker works at his maximum capacity? (Round your answers to 1 decimal place.)
c. Given b, what is the maximum number of orders waiting to be picked?
Maximum number of orders
d. Given b, what is the maximum number of orders waiting to be packed? (Round your intermediate calculations to 1 decimal place.)
Maximum number of orders
units
Management is considering doubling the packing capacity (from 60 to 120 orders per hour). Please answer the following based on that
change.
Pick orders
Pack orders
units
e. 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? (Round your intermediate calculations and final answers to 1 decimal place.)
hours
hours
Transcribed Image Text:c. Given b, what is the maximum number of orders waiting to be picked? Maximum number of orders d. Given b, what is the maximum number of orders waiting to be packed? (Round your intermediate calculations to 1 decimal place.) Maximum number of orders units Management is considering doubling the packing capacity (from 60 to 120 orders per hour). Please answer the following based on that change. Pick orders Pack orders units e. 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? (Round your intermediate calculations and final answers to 1 decimal place.) hours hours
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