Given a single machine and a set of n jobs with respective processing times {p1,p2,...,pn}, due dates {d1,d2,...,dn}, and weights {w1,w2,...,wn}, formulate a Mixed- Integr Linear Program (MIP) for solving the following scheduling problem:

1 || [ ? Lmax + (1 ? ?)wjTj ]

Provide a written description of the decision variables, objective function, and constraints in your mixed-integer linear programming model (Hint: this is a multi-criteria single machine scheduling problem with weighted objectives).