Question: In this homework, you are expected to model a continuous single facility location problem with L 1 - norm objective and program the problems in

In this homework, you are expected to model a continuous single facility location problem with L

1 -

norm objective and program the problems in a computer environment. The goal is to determine the coordinates of the facility while minimizing the total distance to the customers. From the lectures and the problem sessions, you are introduced to two approaches on how to linearize

the model L

1 -

norm objective function. The three methods that are to be implemented are specified in the following tasks.

Task

1

: Formulate an unconstrained nonlinear program with L

1 -

norm, then solve using CVXPY package.

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