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8. [15%] A new home-made ice-cream shop is under development. The owner has identified the following tasks (and precedence relationships) that need to be completed before the grand opening: Task Description Time to Complete (weeks) 3 Required Preceding Task 2 A 3 B 10 6 A Obtain Government licenses B Secure start-up financing C Design ice cream shop installation D Construct ice cream shop E Develop product offering menu F Obtain ice cream raw materials G Hire and train Staff H Develop marketing and sales materials I Build up end-product inventory J Prepare for grand opening 3 C, E 6 C, E 7 C, E 2 D, F, G 1 H, I (a) Develop the network representation of the project. Page 5 of 8 (b) How long will the project take to complete? (c) Identify the critical tasks. (d) Suppose it is possible to speed up task D (Construct ice cream shop) and task H (Develop marketing and sales materials). The crash costs and limitations are as follows: Task Cost to Crash Maximum Crash Weeks D $2000 2 H $1000 3 We expect that, once the store is open, it will produce an average of $4000/week in profit. Should we crash any activity? If so, which ones and why? per Week