PROBLEM 2 (15 points) 2a. A production process consists of the following four st
ID: 388183 • Letter: P
Question
PROBLEM 2 (15 points) 2a. A production process consists of the following four stages with the average percentage of good quality at each stage as shown Stage Average Percentage of Good Quality 0.98 0.97 0.96 0.92 4 How many units must the company put into production each day to achieve a daily yield of 100 good units? (5 pts) 2b. A production process consists of the following four stages with the average percentage of good quality at each stage as shown. Stage Average Percentage of Good Quality 0.95 0.95 0.93 0.97 4 What is the daily production yield for the company if daily input is 500 units? (10 pts)Explanation / Answer
Answer to question 2.a :
Let quantity put into production = 100.N
Therefore,
Good quality units after stage 1 = 0.98 x 100.N
Good quality units after stage 2 = 0.97 x 0.98 x 100.N
Good quality units after stage 3 = 0.96 x 0.97 x 0.98 x 100.N
Good quality units after stage 4 = 0.92 x 0.96 x 0.97 x 0.98 x 100.N = 0.8395X 100,N
Since daily yield = 100 good units
Therefore ,
0.8395 x 100.N = 100
0.8395.N = 1
Or, N = 1/0.8395 = 1.1911
Or, 100.N = 100 x 1.1911
Or, 100.N = 119.11 ( 119 rounded to nearest whole number )
Number of units company put into production each day to achieve a daily yield of 100good units = 119
Answer to question 2.b :
Daily production yield of the company
= Daily input x Percentage good quality at stage 1 x percentage good quality at stage 2 x percentage good quality at stage 3 x percentage good quality at stage 4
= 500 x 0.95 x 0.95 x 0.93 x 0.97
= 407.07 ( 407 rounded to nearest whole number )
Daily production yield for the company = 407 units
Number of units company put into production each day to achieve a daily yield of 100good units = 119
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