The diagram below was developed for the project launch of Kitty$$ Condo, a new product in the luxury cat cage market. Suppose that you are interested in finding ways to speed up the project at minimal additional cost. Determine the schedule for completing the project in $2828$ days at minimum cost. Penalty and project overhead costs are negligible. Time and cost data for each activity are shown below.

$$

Normal

Crash

Activity

Time$($days$)$

Cost$($$$)$

Time$($days$)$

Cost$($$$)$

Diagram

A

$99$

$1$ comma $3001,300$

$77$

$2$ comma $5002,500$

Start

Finish

A

C

D

F

G

I

H

E

B

In the diagram, there are $2$ rectangles. The one on the left is labeled Start, and the one on the right is labeled Finish. There are $9$ circles labeled inside each circle using the letters from A to I. There are arrows that show the flow through the circles from Start to Finish as follows: Rectangle Start has arrows that connect to circle A$,$ to circle B$,$ and to circle C$,$ circle A connects to circle D and to circle E$,$ circle B connects to circle F$,$ circle C connects to circle I, circle D connects to circle G$,$ circles E$,$ F$,$ and I connect to circle H$,$ and circles G and H connect to Rectangle Finish.

B

$1212$

$1$ comma $0501,050$

$1111$

$1$ comma $1651,165$

C

$66$

$3$ comma $0003,000$

$44$

$4$ comma $6004,600$

D

$1111$

$2$ comma $0002,000$

$99$

$2$ comma $6002,600$

E

$99$

$650650$

$77$

$1$ comma $1001,100$

F

$22$

$700700$

$11$

$1$ comma $1001,100$

G

$99$

$1$ comma $5501,550$

$77$

$2$ comma $0502,050$

H

$1313$

$600600$

$1212$

$800800$

I

$66$

$2$ comma $2002,200$

$33$

$4$ comma $9004,900$

Part $2$

Fill in the table below to show the proper schedule for completing the project in $2828$ days at minimum cost$($i$.$e$.,$ the activity times with crashing for each$$ activity$).($Enter your responses as whole$$ numbers.$)$

Activity

Time according to schedule$($days$)$

Activity

Time according to schedule$($days$)$

A

enter your response here

F

enter your response here

B

enter your response here

G

enter your response here

C

enter your response here

H

enter your response here

D

enter your response here

I

enter your response here

E

enter your response here