Problem $4-10$

The following table represents a plan for a project: Use Appendix $G.$

TIMES $(DAYS)$

JOB $NO.$ PREDECESSOR

JOB$(S)amb$

$1-159$

$211413$

$312511$

$41348$

$52246$

$63126$

$743612$

$85,6135$

$98147$

$107345$

$119,103510$

$b.$ Indicate the critical path.

multiple choice $1$

$1-2-5-8$

$1-4-7-10-11$

$1-3-6-8-9-11$

$1-2-5-8-9-11$

$c.$

What $is$ the expected completion time for the project? $(Do$ not round intermediate calculations. Round your answer $to2$ decimal places.$)$

Expected completion time

$26\mathrm{.}67$

days

$d.$

You can accomplish any one $of$ the following $atan$ additional cost $of$ $$1,500.If$ you will save $$1,000$ for each day that the earliest completion time $is$ reduced, which $of$ the following actions should $be$ taken, $if$ any?

$1.$ Reduce job $7by$ two days.

multiple choice $2$

Yes

$No$

$2.$ Reduce job $3by$ two days.

multiple choice $3$

Yes

$No$

$3.$ Reduce job $5by$ two days.

multiple choice $4$

Yes

$No$

$e.$

What $is$ the probability that the project will take more than $28$ days $to$ complete? $(Use$ Excel's NORMSDIST$()$ function $to$ find the correct probability for your computed $Z-$value. $Do$ not round intermediate calculations. Round $"z"$ value $to2$ decimal places and final answer $to4$ decimal places.$)$

Probability