I need help with the mathemathical solving problem. 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?