Assume that you are the manager of Assembly, Inc. You have just received an order for 26 units of an industrial robot, which is to be delivered at the start of week 7 of your schedule. Using the following information, determine how many units of subassembly G to order and the timing of those orders, given that subassembly G must be ordered in multiples of 80 units and all other components are ordered lot-for-lot. Assume that the components are used only for this particular robot.

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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Assume that you are the manager of Assembly, Inc. You have just received an order for 26 units of an industrial robot, which is to be delivered at the start of week 7 of your schedule. Using the following information, determine how many units of subassembly G to order and the timing of those orders, given that subassembly G must be ordered in multiples of 80 units and all other components are ordered lot-for-lot. Assume that the components are used only for this particular robot.

 

 

Item Lead Time (weeks) On Hand Components
Robot 2 10   B, G, C(3)
B 1 5   E, F
C 1 20   G(2), H
E 2 4  
F 3 8  
G 2 15  
H 1 10  
 

 

   
Subassembly G order quantity (in units)  
Subassembly G should start at beginning of Week
Expert Solution
Step 1

We need 26 units of robots. As 10 units are available , we'd like to create 26-10 = 16 more robots

For 16 robots, we directly need 16 units of G. additionally , we'd like 16*3 = 48 units of C. There are 20 units of C available . Hence we'd like additional 48-20 = 28 units of C. As each unit of C needs 2 units of G, we'd like 28*2 = 56 units of G to create required units of G. Hence the gross requirement of G is 16+56 = 72 units of G. As there are 15 units of G available , the entire units of G to be ordered is 72 - 15 = 57 units of G.

Hence Subassembly G order quantity (in units) = 57 units.

 

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