$1.$ A supply chain manager needs to order raw material for a product. The demand for this raw material translates into, on the basis of the forecast of the demand for the product, to be about $300$ units per month. The fixed cost per order is $$5000,$ while the holding cost per unit per month $($of the raw material$)$ is about $50$ cents.

a$.$ What should be order size?

b$.$ What will be the total cost per month under this order size?

c$.$ If the demand is approximately constant, what should be the level of inventory when the order is placed when the ordering lead time is about $2$ weeks?