Part B $$ Formulation

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 $$10$ per item month. Setups in a period cost $$100.$ No backorders are allowed.

Month $123456789101112$

Demand $8030709510021014010060503212$

A$.$ Formulate this problem

B$.$ Add constraints to limit the production of items to less than $200$ per month.

C$.$ Add a constraint that forces at least one week off in the period of the $4$ week to $8$ week.