Presented in the following are the data for a precedence diagram problem. The \(\mathrm{SS}, \mathrm{SF}\), and \(\mathrm{FF}\) relationships between pairs of activities are given.

SS \((\) between \(A\) and \(B)=1\)

\(F(\) between \(A\) and \(B)=8\)

SS(between \(A\) and \(C)=2\)

\(\mathrm{SF}(\) between \(\mathrm{A}\) and \(\mathrm{C})=8\)

SS(between \(B\) and \(D)=5\)

\(\mathrm{SS}(\) between \(\mathrm{C}\) and \(\mathrm{D})=7\)

\(\mathrm{FF}(\) between \(\mathrm{C}\) and \(\mathrm{D})=10\)

a. Perform forward and backward computations without considering the precedence constraints. What is the project duration?

b. Perform the forward and backward computations considering the precedence constraints. What is the project duration?

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Activity Predecessor Duration A 5 B A 10 C A 4 D B, C 15