Inventory Problem

Problem

$1$

$-$

$$You company is planning production of items for the next year. Your demand is given in the following table. Holding inventory cost $

$1$

$0$

$$per item month. Setups in a period cost $

$1$

$0$

$0$

$.$

$$No backorders are allowed.

$\backslash$

table

$[$

$[$

Month

$,$

$1$

$,$

$2$

$,$

$3$

$,$

$4$

$,$

$5$

$,$

$6$

$,$

$7$

$,$

$8$

$,$

$9$

$]$

Demand,

$8$

$0$

$,$

$3$

$0$

$,$

$7$

$0$

$,$

$9$

$5$

$,$

$1$

$0$

$0$

$,$

$2$

$1$

$0$

$,$

$1$

$4$

$0$

$,$

$1$

$0$

$0$

$,$

$6$

$0$

$]$

A

$.$

$$Formulate this problem

B

$.$

$$Add constraints to limit the production of items to less than

$2$

$0$

$0$

$$per month.

C

$.$

$$Add a constraint that forces at least one week off in the period of the

$4$

$$week to

$8$

$$week$.$