3) A software development firm has undertaken a project for government. The system analyst in charge of the project has decomposed the tasks into the following stages: Activity Immediate Usual Time Crash Time Cost per predecessors month A None 5 3 $1,000 8 5 $800 D E B, C B, C 10 6 $1,200 DE 4 $900 F, G 1 B A 6 A B 6 6 6 8 8 F G 6 H 1 a. (3 points) Use the space provided below to draw a critical path diagram for this project. b. (2 points) Estimate the minimum completion time for the project by using the usual times. C. (2 points) Formulate a linear program to determine the earliest that the project can be completed if $4,800 is available to reduce the times of the indicated activities. d. (2 points) Suppose that it costs $1,500 per month to run the project. Formulate a linear program to determine the cheapest way to complete the project in 24 months or less