problems :

In a myscal land, a lush and enchanted forest known as the "Whispering Woods" has lost its magic due

to a mysterious curse. To restore its beauty and harmony, a group of courageous young wizards and

witches embark on a noble mission called "The Great EcoQuest." Armed with their unique magical

abilies and unwavering determinaon, they plan to rejuvenate the forest and bring back its capvang

allure.

The first step is to form the Council of Wisdom: The young wizards and witches gather to strategize and

plan the EcoQuest's journey. Next, A team is assigned to explore the Whispering Woods, mapping out

the best routes for the quest. At the same me, in preparaon for the quest, the team searches for rare

enchantments that hold the key to breaking the curse.

Aer the team is done with mapping the routes and finding enchantments, a group of magical botanists

culvates enchanted plants that can help restore the forest's magic. Simultaneously, the team works on

purifying and restoring the once-magical healing springs scatered across the forest. Aer mapping the

routes is done, skilled magical communicators establish a connecon with the creatures of the forest,

seeking their guidance. Then another team works on balancing the elemental energies within the forest

to dispel the curse's darkness.

When enchanted plants are culvated, healing springs are restored, and the elemental energies are

harmonized, the wizards and witches seek the heart of the Whispering Woods, a massive Guardian Tree,

to revive it with ancient spells. In the end, a grand ritual is performed to unite all their eorts and break

the curse for good.

The table below shows the acvies and their duraons.

Acvity / Descripon / Duratons (days)

A Council of Wisdom 2

B Mapping 4

C Gathering Enchantments 2

D Plant Culvaon 3

E Healing Springs Restoraon 5

F Creatures' Guidance 1

G Elemental Balance 2

H Reviving the Spells 4

I Unity Ritual 3

Questions :

1. Say what the immediate predecessor(s) of each task is(are).
2. draw the project network diagram for this project.
3. For each activity, compute ES, EF, LS, LF. Then say which activities are critical.
4. List all the paths in the network diagram for this project. Say which one(s) is(are) the critical path(s) and what the minimum project duration is.
5. What is the slack of activity D (in days)?