B$.$ Minimum Cost Schedule $(25$ points$).$ Information concerning a project is given in the table below.

Activity Normal Time $($days$)$ Normal Cost $($$$)$ Crash Time $($days$)$ Crash Cost $($$$)$ Immediate Predecessor$($s$)$

A $5100041200-$

B $580032000-$

C $26001900$ A$,$ B

D $3150022000$ B

E $590031200$ C$,$ D

F $2130011400$ E

G $39003900$ E

H $55003900$ G

Indirect project costs amount to $$250$ per day. The company will incur a $$100$ per day penalty for each day the project lasts beyond day $14.$

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

b$.$ What is the minimum$-$cost schedule?

c$.$ What is the critical path for the minimum$-$cost schedule?