Evaluation 4(Section 813-A)

Question 1(For Odd PC no)

You are a project manager overseeing the construction of a building. The construction process involves three major tasks: Task A, Task B, and Task C. Each task has a certain duration and requires a specific amount of resources. The objective is to minimize the total duration of the project while ensuring that the resource constraints are met. Minimize the total duration of the project

Task details:

Task A: Requires 4 days to complete and consumes 3 units of resource.

Task B: Requires 6 days to complete and consumes 5 units of resource.

Task C: Requires 3 days to complete and consumes 2 units of resource.

 

Tasks Parameters:

Ø  Limited availability of resources: There are only 10 units of resource available.

Ø  Each task must be scheduled to start after the completion of the previous task.

Question 2(For Even PC no)

You are a transportation manager for a logistics company that delivers packages using trucks and vans. You need to determine the optimal allocation of vehicles to different routes to minimize the total distance traveled while ensuring that all packages are delivered on time. Objective is Minimize the total distance traveled by vehicles.

Details:

*  have 5 trucks and 3 vans available for delivery.

* There are 10 delivery routes that need to be covered.

* Each route has a different distance and requires a certain number of vehicles to complete.

* Trucks can cover longer distances but require more fuel, while vans are more fuel-efficient but have a smaller capacity.

 

Constraints:

Ø  Each route must be covered by at least one vehicle.

Ø  The total number of vehicles assigned to routes cannot exceed the available fleet size.