Assignment #$2$

MGMT $3020$

Bakersfield Pools is about to work on a project to install a backyard pool and build an accompanying bathhouse. The installation process is fairly well defined. Building the pool involves digging the foundation, pouring concrete, and ordering and installing a filtration system. The bathhouse work involves constructing the bathhouse, installing the additional required plumbing, and installing the necessary electrical work. The process is shown in the table below.

Activity

Description Immediate Predecessors

Duration

A

B

C

D

E

F

G

H

I

J Dig pool foundation

Order filtration system

Receive filtration system

Pour concrete

Install filtration system

Construct bathhouse

Install electrical wiring

Install plumbing

Connect water supply

Test $-$

$-$

B

A

C$,$ D

$-$

F

F

H

E$,$ G$,$ I $10$

$1$

$9$

$3$

$13$

$23$

$2$

$3$

$2$

$2$

Answer the following questions. Ignore the possibility of crashing until part f$).$

a$)$ Draw the network diagram for the project. Calculate early start, early finish, late start, late finish, and slack times.

b$)$ Bakersfield Pools works all $7$ days a week. The customer wants this pool completed in time for a birthday party in $27$ days. Can it be done? Why or why not? $($Note: this means the entire project must be completed.$)$ Crashing is NOT possible at this point.

c$)$ The staff member who is in charge of pouring concrete wants to go on a two$-$week vacation starting in $12$ days. Can Bakersfield Pools let him go when he wants? Why or why not?

d$)$ Equipment required to do task E $($the installation of the filtration system$)$ is currently undergoing repairs. Until it is repaired, no work can be done on task E$.$ What is the latest day those repairs can be completed by without delaying the project? Give your reasoning.

e$)$ BP$$s regular electrician is on vacation, and a $$temp$$ has been hired. The temporary electrician is not as productive as the regular electrician. Suppose it takes him $4$ days to install the electrical wiring, as opposed to $2$ days. Does this delay the project? Supply proof $$ a simple yes or no answer is insufficient.

f$)$ See part f on the next page.

$$

Activity Normal

Duration Minimum Duration Crash Cost

$($$$/$day$)$

A

B

C

D

E

F

G

H

I

J $10$

$1$

$9$

$3$

$13$

$23$

$2$

$3$

$2$

$28$

$1$

$5$

$3$

$12$

$21$

$1$

$2$

$1$

$150$

$-$

$25$

$-$

$165$

$60$

$150$

$150$

$210$

$100$

f$)$ The customer for whom the pool and bathhouse are being installed would like the project to be completed as swiftly as possible. As an incentive, the customer has offered to pay Bakersfield Pools an extra $$250$ for each day they can reduce the length of the project. Use the table above for crash cost and minimum duration information. What is the most economic duration of the project? How $\backslash$much extra profit would this generate for BP$?$