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Part $1$

The Advanced Tech Company has a project to design an integrated information data base for a major bank. Data for the project are given in the following table. Indirect project costs amount to $$$$250$ per day. The company will incur a $$$$200$ per day penalty for each day the project lasts beyond day $12.$

$$

Activity

Normal Time$($days$)$

Normal Cost$($$$)$

Crash Time$($days$)$

Crash Cost

$($$$)$

Immediate$$ Predecessor$($s$)$

A

$5$

$800$

$4$

$1$ comma $000$

minus

B

$5$

$1$ comma $100$

$2$

$2$ comma $900$

minus

C

$2$

$600$

$1$

$900$

$$A$,$ B

D

$3$

$1$ comma $200$

$2$

$2$ comma $000$

B

E

$3$

$1$ comma $500$

$2$

$1$ comma $700$

$$C$,$ D

F

$2$

$1$ comma $300$

$1$

$1$ comma $400$

E

G

$3$

$900$

$3$

$900$

E

H

$5$

$500$

$2$

$800$

G

Part $2$

a$.$ What is the$$ project's duration if only normal times are$$ used?

The project duration is

$$

enter your response here $$day$($s$).($Enter your response as an$$ integer.$)$