Assignment 3 Final

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New York University *

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6213

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Mechanical Engineering

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Apr 3, 2024

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docx

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ASSIGNMENT – 3 FACILITY PLANNING & DESIGN Need to produce 250 units of a final assembly, C. Assembly C is comprised of 2 sub-assemblies, A and B. Final assembly C has defect rate of 1%. Six (6) pieces of sub-assembly A are needed for the final product C. Sub-assembly A has a defect rate of 14%. One (1) pieces of sub-assembly B are needed for the final product C. Sub-assembly B has a defect rate of 10%. I. Draw a simple work flow diagram or “road map” for this process. Label the sub-assemblies and yields at each step. Answer. Following is the work flow diagram for the given process: Note: Work Flow Diagram is drawn on https://www.lucidchart.com ;URL Link for the pdf document is as follows - https://lucid.app/publicSegments/view/2a897e97-e3a2-41aa-9316-78b43161902a II. Calculate the number of sub-assemblies A and B needed to produce 250 units of final product C. DO NOT round-off to more than 2 places. Answer. Given: Number of Sub-assemblies A required for final assembly = 6 pieces Number of Sub-assemblies A required for final assembly = 1 piece Number of Final assemblies required to be produced = 250 units Sr. No. Description No. of units to be produced in ideal condition (Process yield = 100%) Defect Rate (in %) Yield (in %) No. of units to be produced in given condition 1 Final Assembly C 250 1% 99% 250 99% = 252.53 2 Sub-assembly A 250*6=1500 14% 86% 252.53 6 86% = 1761.84 3 Sub-assembly B 250*1=250 10% 90% 252.53 1 90% = 280.59 Total number of Final assemblies C to be produced = 252.53 253 units Total number of Sub-assemblies A to be produced = 1761.84 1762 units Total number of Sub-assemblies B to be produced = 280.59 281 units
Note: For calculation of number of units to be produced, numbers are rounded off up to 2 decimal places. As the assemblies can not be produced in fractions, next whole number is taken in order to finally get 250 units of final assemblies C.
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