Question

5. Four operations are performed on a part. If these operations produce 5.0, 4.5, 3.0, and 2.5 percent scraps, respectively, determine the number of blanks that are required to begin the process if the finished units required are 20,000 units

Answer 1

Let x be the total number of blanks are required

After operation 1, 5% are scrapped so we are left with

(1-0.05)x = 0.95x

After operation 2, 4.5% are scrapped so we are left with

0.95*(1-0.045)x = 0.90725 x

After operation 3, 3% are scrapped so we are left with

0.90725*(1-0.03)x = 0.88x

After operation 4, 2.5% are scrapped so we are left with

0.88*(1-0.025)x = 0.858x

We need a total of 20,000 units

therefore, 0.858 x = 20,000

x = 23310

Hence, a total of 23,310 blanks are required