Problem 5 A manufacturing facility product to pee the products over the next mooth The production line allows only our product to be actual in a month Backlog demand is not allowed. A product, my bestodend to meet demand in later months. The following the provides the data ascitel with the demand and stor of the three product Dead in period Product 1 2 3 4 5 6 Unit holding costs/month Initial lavestory 1 50 30 10 60 2015 05 2 30 30 30 30 035 3000200130 05 Let: Tu The production rates on the single production linese find to be 130, 130xd 100 unite per month and the unit production contre 22. 14 and 25 5/unit for producte 12 and 3 respectively. In addition, there is a fixed cost of $200 cited with a switching of the single production line from one product to another Develop an integer linear program model for determining the optimal production schedule over the months with minimum cost 1. if product is manufactured at time period 0. Otherwise 1. if a changeove is made to product in period M 0, otherwise -End inventory of product in period Parameters 1. Initial inventory of product D. Demand on product in period - production rate of product he holding cost of product minimize :-Lantut + 200 subject to us1, += 1,2,4,6 2 1 - 1 = 1,2,3 1=1,2,.,6 Tu-1-DA), : = 1.2.3. - 12.6 7 Problem 5 A manufacturing facility product to pee the products over the next mooth The production line allows only our product to be actual in a month Backlog demand is not allowed. A product, my bestodend to meet demand in later months. The following the provides the data ascitel with the demand and stor of the three product Dead in period Product 1 2 3 4 5 6 Unit holding costs/month Initial lavestory 1 50 30 10 60 2015 05 2 30 30 30 30 035 3000200130 05 Let: Tu The production rates on the single production linese find to be 130, 130xd 100 unite per month and the unit production contre 22. 14 and 25 5/unit for producte 12 and 3 respectively. In addition, there is a fixed cost of $200 cited with a switching of the single production line from one product to another Develop an integer linear program model for determining the optimal production schedule over the months with minimum cost 1. if product is manufactured at time period 0. Otherwise 1. if a changeove is made to product in period M 0, otherwise -End inventory of product in period Parameters 1. Initial inventory of product D. Demand on product in period - production rate of product he holding cost of product minimize :-Lantut + 200 subject to us1, += 1,2,4,6 2 1 - 1 = 1,2,3 1=1,2,.,6 Tu-1-DA), : = 1.2.3. - 12.6 7