* In class, we have formulated the following linear program: max Dr.St h.It t=1 s.t. St

0. Vt = 1, ...,T One of the underlying assumptions of this model was the any excess demand that cannot be satisfied immediately will be lost (lost sales). Suppose instead that any excess demand that cannot be satisfied immediately will be carried over to the next period (backlogging), and any backordered unit will incur the cost of $b per period. Develop a linear program for this problem by modifying the above formulation. * In class, we have formulated the following linear program: max Dr.St h.It t=1 s.t. St

0. Vt = 1, ...,T One of the underlying assumptions of this model was the any excess demand that cannot be satisfied immediately will be lost (lost sales). Suppose instead that any excess demand that cannot be satisfied immediately will be carried over to the next period (backlogging), and any backordered unit will incur the cost of $b per period. Develop a linear program for this problem by modifying the above formulation