XYZ is famous for homemade pizzas which are crisp with thin crust and varied toppings giving the pizzas fabulous tastes. XYZ· is revamping its order processing and pizza- making process. In order to deliver fresh pizza fast, six work elements must be completed as shown in the table below : Element Description Precedence Time (in min) A Receive order - 2·0 B Shape dough A 1·0 C Prepare toppings A 2·0 D Assemble pizza B, C 3·0 E Bake pizza D 3·0 F Deliver pizza E 3·0 Construct a precedence diagram for the process. If the demand is 120 pizzas per night (5:00pm to 1:00am), compute the cycle time for the process. Compute the lead time for the process. What is the theoretical minimum number of workstations needed to achieve the required production? How will you balance the production line to produce and deliver 120 pizzas per night? What is the actual minimum number of workstations needed?

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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 XYZ is famous for homemade pizzas which are crisp with thin crust and varied
toppings giving the pizzas fabulous tastes. XYZ· is revamping its order processing and pizza-
making process. In order to deliver fresh pizza fast, six work elements must be completed as
shown in the table below :
Element Description Precedence Time (in min)
A Receive order - 2·0
B Shape dough A 1·0
C Prepare toppings A 2·0
D Assemble pizza B, C 3·0
E Bake pizza D 3·0
F Deliver pizza E 3·0
Construct a precedence diagram for the process.
If the demand is 120 pizzas per night (5:00pm to 1:00am), compute the cycle time for the process.
Compute the lead time for the process.
What is the theoretical minimum number of workstations needed to achieve the required
production?
How will you balance the production line to produce and deliver 120 pizzas per night? What is the
actual minimum number of workstations needed? 

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