a$.$ A factory is building a robot using an assembly line that consists of the following tasks with their respective

durations $($in hours$)$:

Task A: $2$ hours

Task B: $4$ hours $($depends on Task A$)$

Task C: $3$ hours $($depends on Task A$)$

Task D: $5$ hours $($depends on Tasks B and C$)$

Task E: $2$ hours $($depends on Task D$)$

i$.$ Draw the project network diagram and identify the critical path $.$

ii$.$ Calculate the total duration to complete the project.

b$.$ Consider the field of embodied Al$,$ where agents interact with their environments to perform tasks. Discuss

the following aspects:

i$.$ What is an embodied Al$?$

ii$.$ How does embodied Al differ from traauuna$$ Al approaches?

iii. Briefly describe some major challenges in the design of embodied Al systems. How do you propose to

solve them?

iv$.$ Briefly discuss the role of knowledge representation and planning in the design of embodied Al systems

through a simple example.

c$.$ Knowledge Representation:

i$.$ Compare between propositional logic and predicate logic $-$ as methods of knowledge representation $-$

through a simple example.

ii$.$ Use production rules to design a simple expert system that is capable of predicting heart diseases to

assist a healthcare professional.