Part A is produced on machine 1 and then machine 2 One unit

Part A is produced on machine 1 and then machine 2. One unit of Part A is assembled with three units of Part B, which is produced on machine 3, in assembly station 4. Machine 1 has a scrap factor of 20%, and machine 2 has a scrap factor of 10%. The assembly process has a scrap factor of 15%. Another part, Part C, is produced on machine 5 and has a scrap estimate of 25%. Part C and the subassembly comprison of Part A and Part B are assembled at assembly station 6 into the completed product. Each day, 15,000 units of the completed product are required to meet demand. Assuming that machine 3 and assembly station 6 have scrap factors of 30% each, what are the requirements for Parts A, B, and C in order to meet the daily demand for the completed product?

Solution

for 1 product we require 1 part A and 3 part B and 1 part C

for 15000 product, we require 15000 part A 45000part B and 15000 part C

as scrap factor of m/c 2 is 10%, we require 15000/(100-10)%= 16666.66 part A before m/c 2

and 16666.66/0.8 = 20834 parts before machine 1

so raw material for part A is required for 20834 parts

similarly raw material required for part B = (45000/0.7)= 64286

similarly raw material required for part C = (15000/0.75)/0.7= 28572