GATE ME 2022 Set 1 — Question 59
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Industrial Engineering → Production Planning & Control → Materials Requirement Planning
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Question
The product structure diagram shows the number of different components required at each level to produce one unit of the final product P. If there are 50 units of on-hand inventory of component A, the number of additional units of component A needed to produce 10 units of product P is __________ (in integer).
Correct answer
110 to 110
Solution
The problem asks for the net requirement of component A to produce 10 units of product P, given an on-hand inventory.Step 1: Determine the gross requirement of each component for one unit of product P.
From the product structure diagram:
Component A is required at two levels:
Total A per P = units.Step 3: Calculate the gross requirement of A for 10 units of P.
Gross requirement for 10 units of P = (Number of P units) (Total A per P)
Gross requirement = units.Step 4: Calculate the net requirement of A.
The net requirement is the gross requirement minus the on-hand inventory.
Net requirement = units.Thus, 110 additional units of component A are needed.
From the product structure diagram:
- To produce 1 unit of P, we need 4 units of A and 2 units of B.
- To produce 1 unit of B, we need 1 unit of C and 3 units of D.
- To produce 1 unit of D, we need 2 units of A.
Component A is required at two levels:
1.Directly for P (Level 1): 4 units of A are needed for 1 unit of P.
2.Indirectly through B and D (Level 3):
- For 1 unit of P, we need 2 units of B.
- For these 2 units of B, we need units of D.
- For these 6 units of D, we need units of A.
Total A per P = units.Step 3: Calculate the gross requirement of A for 10 units of P.
Gross requirement for 10 units of P = (Number of P units) (Total A per P)
Gross requirement = units.Step 4: Calculate the net requirement of A.
The net requirement is the gross requirement minus the on-hand inventory.
- Gross requirement of A = 160 units
- On-hand inventory of A = 50 units
Net requirement = units.Thus, 110 additional units of component A are needed.
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