You are working with two other classmates on a project. In your initial work breakdown structure, you have created the following list of 8 activities and corresponding dependencies.

Activity	Dependency
A1	-
A2	A1, A4, A7
A3	A1
A4	A7, A1
A5	A1, A3
A6	A2, A4, A7
A7	A2
A8	A5, A7

 

One of your team members, Al Simmons, lives in your same dorm. The other team member, Anug Rama, lives off campus. You are currently planning on allocating activities A1, A2, A3 yourself, A4, A5 to Al Simmons, and A6, A7, and A8 to Anug Rama.

Below is the (partially filled) design structure matrix for this project.

 

Figure caption: The figure shows a matrix with row labels A1, A2, A3, through A8. And column labels A1, A2, A3, through A8. The diagonal elements are marked as 1. The first row and first column, with the exception of element (1,1) [i.e., 1st row, 1st column] is shaded blue. The cells (2,3), (2,4), .. (2,8) and the cells (3,2), (4,2), .. (8,2) are shaded orange. That is all elements of 2nd row and 2nd column (except for those which were already shaded blue) are shaded orange.

 

questions: 

2. How many of the blue cells in the DSM have non-zero elements?

3. How many of the orange cells in the DSM have non-zero elements?

4. How many cells in the overall DSM have non-zero elements?

A1 A2 A3 A4 A5 A6 A7 A8 A1 1 A2 1 A3 1 A4 1 A5 1 A6 1 A7 1 A8 1