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Job А 3. The jobs listed below needed to be completed. Assume that it is now...

Job А 3. The jobs listed below needed to be completed. Assume that it is now day 140. Processing Time (days) Due Date 20 180

Job А 3. The jobs listed below needed to be completed. Assume that it is now day 140. Processing Time (days) Due Date 20 180 30 200 10 175 230 210 B с D 16 18 E If the jobs are sequenced according to shortest processing time rule, what is the average completion time? A. 47.6 B. 60 C. 50 D. 238 E 300 4. Given the data from question 3, if the jobs are sequenced according to the longest processing time rule, what is the lateness of job B? A. O B. 24 C. 7.4 D. 9 E 13.4 5. If it takes 60 hours to produce the first unit of a product and 50 hours to produce the 12th unit, what is the learning rate? A. 95.04% B. 94.44% C. 105.04% D. 83.32% E 66.99%
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Answer #1

3.

A G 1 2 Job 3 C 4 D 30 5 E 6 A 7 B 8 Average 9 10 Job 11 B B с D E F SPT Processing time Due Date Completion time 10 175 10 1

Formula

А B с D E F 1 SPT 2 Job Processing time 10 3 C Due Date 175 230 210 4 D 16 5 E 18 6 A 20 180 200 7 B 30 8 Average 9 Average C

Average completion time using SPT rule = 47.6 . Correct answer is A.

4.

Average lateness using LPT rule = 13.4. Correct answer is E.

5.

We know, Tn = T1*n^(ln(l)/ln(2)) where Tn = time required to complete nth unit and l = learning rate

For n = 12,

50 = 60*12^(ln(l)/ln(2))

or, 0.833333333 = 12^(ln(l)/ln(2))

Substituting value of options we get following set of values for RHS among which for learning rate = 95.04%, LHS = RHS approximately. option A is matching closely

So. correct answer is A. 95.04%

с 2 A B 1 Lerning rate RHS 95.04% 0.833288 3 94.44% 0.814583 105.04% 1.192768 5 83.32% 0.519863 6 66.99% 0.237822 7 4


Formula

A B 1 Lerning rate 2 0.9504 3 0.9444 4 1.0504 5 0.8332 6 0.6699 RHS = 124(LN(A2)/LN(2)) = 124LN(A3)/LN(2)) = 12^(LN(A4)/LN(2)

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