The data below shows the demand $($over time$)$ for a particular product that has to be manufactured in$-$house.Week$123456$Demand$125210170135160185$So in week $2($for example$)$ demand is forecast to be $210$ units. Currently there are $350$ units of the product in stock. The lead time between releasing an order to the in$-$house shop floor and producing a finished product is one week.Any orders to the shop floor have to be either for $100$ or $300$ units. The stock holding cost is $2\mathrm{.}3$ per unit per week and the cost of placing an order $($of any size$)$ with the shop floor is $130.$Formulate the problem of deciding how best to meet customer demand as an integer linear program involving zero$-$one $($binary$)$ variables.