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Part II. Answer the following questions on the supplied answer sheet: I. (5 poin

ID: 3173690 • Letter: P

Question

Part II. Answer the following questions on the supplied answer sheet: I. (5 points) Compute the daily labor productivity if 130 yards of carpet are installed by 4 people working8 hours per day. 2.5 points) The weekly output of a production process is as follows: Output Workers Material (feet). 392 2720 The standard selling price is s125 per unit. Assuming a 40-hour week, hourly wage of s16, and material cost of si0 per linear foot, what is the multifactor weekly productivity: 3a. (5 points) For the time estimates provided on the answer sheet, fill in the Expected Time and the Variances that have been left blank b. (5 points) Determine the standard deviation of critical Path ifthis path consists of Activities D.E, and F. 4a. (10 points) Determine the critical path for the PERT diagram shown on the answer sheet. 5. If the expected completion time for a given critical Path is 61 days, with a standard deviation ofs days a. (0 points) Determine the probability of completing the project within 68 days. b. (0 points) Determine many days should be allocated for a 99.286% probability of completing the project?

Explanation / Answer

3 (A)

Expected completion time and variance for below activities

Expected completion time of B = 4 and variance = 0.4444

Expected completion time of C = 2.5 and variance = 0.25

Expected completion time of D = 3 and variance = 0.4444

3(B)

Variance of critical path (DEF) = 3.58

std. dev. = sqrt(3..58) = 1.8921

4(A)

Different paths in the given PERT diagram are

AEG = 34

ACDH = 38

AFH = 33

BDH = 32

Hence critical path is ACDH with projection completion time = 38

4(B)

Latest start time for node 2 is 5