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Use the Following Network Diagram and Table to Answer Parts

Question 26

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Use the following network diagram and table to answer parts (a) through (d).
 Use the following network diagram and table to answer parts (a) through (d).       \begin{array} { c | r r | c c }  \text {  } & \text { Normal } && \text { Crash }\\ \text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\ \hline \text { A } & 6 & 100 & 3 & 400 \\ \text { B } & 8 & 200 & 8 & 200 \\ \text { C } & 4 & 200 & 2 & 800 \\ \text { D } & 10 & 1000 & 5 & 4000 \\ \text { E } & 8 & 200 & 4 & 1000 \\ \text { F } & 10 & 1500 & 6 & 4500 \\ \text { G } & 8 & 800 & 5 & 1000 \\ \hline \end{array}   (a) Under  normal  conditions: what is the earliest the project can be completed; what is the critical path; what is the cost? (b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project? (c) Under  crash  conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time. (d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?
  Normal  Crash  Activity  Time  Cost  Time  Cost  A 61003400 B 82008200 C 42002800 D 10100054000 E 820041000 F 10150064500 G 880051000\begin{array} { c | r r | c c } \text { } & \text { Normal } && \text { Crash }\\\text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\\hline \text { A } & 6 & 100 & 3 & 400 \\\text { B } & 8 & 200 & 8 & 200 \\\text { C } & 4 & 200 & 2 & 800 \\\text { D } & 10 & 1000 & 5 & 4000 \\\text { E } & 8 & 200 & 4 & 1000 \\\text { F } & 10 & 1500 & 6 & 4500 \\\text { G } & 8 & 800 & 5 & 1000 \\\hline\end{array}
(a) Under "normal" conditions: what is the earliest the project can be completed; what is the critical path; what is the cost?
(b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project?
(c) Under "crash" conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time.
(d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?

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