Question 5 (40 points, Class 4): In order to
participate at a venture fair, Team TerraZ is preparing a project
plan for their new-product offering. The team plans to spend 3 days
on ideation. Once ideation is complete, the team aims to interview
20 potential customers (6 days) and to engage in a careful analysis
of competing products (12 days). Note that these two activities are
independent from each other and can be carried out
simultaneously.

Following the customer interviews, the team expects to spend 10
days on careful user observation and 4 days on sending out e-mail
surveys. These two activities are independent from each other, but
both require that the interviews be completed. With the input from
the customer observation and the e-mail surveys, the team then
plans to spend 5 days on putting together the target specifications
for the product. This activity also requires the analysis of
competing products to be complete.

After the target specifications, the team aims to create a
product design, which will take 10 days. With the product design
complete, they plan to get price quotes (6 days) and build a
prototype (4 days). Again, these two activities are independent
from each other and can be carried out simultaneously. Once the
prototype is built, they then want to test out with some customers
(5 days). Once the prototype has been tested and the price quotes
are in, they can put together their information material for the
venture fair (3 days).

a. Create a dependency matrix for the activities described, and
build a project graph.

b. Find the critical path and the EST, ECT, LST, LCT and slack
for each activity. What is the latest time the team can start
working, assuming the venture fair is scheduled for April 18?