Using a computerized Inventory Management System, a Paint Supply Store franchise continuously monitors the inventory of all the paint located at each of their $15$ stores and their distribution warehouse. The Paint Supply Store franchise sells an average of $30$ gallons of Red Paint every week $($for $52$ weeks per year$).$ Their current policy is that when they place an order for Red Paint from their supplier, they order $70$ gallons at a price of $$2\mathrm{.}00$ per gallon. $[$The company does not hold Safety Stock$]$ It takes $1\mathrm{.}25$ weeks to receive an order from the supplier.

Administrative costs for Ordering paint have been estimated to be $$15$ per order.

Holding Costs $=20\%$ of the purchase price per gallon per year.

What is the Total Annual Inventory Cost for the company's current policy?

An Office Manager uses a Periodic Review Inventory System: they check the inventory in their Office Supply Closet once every $10$ days, placing an order with their supplier depending on the inventory level in the closet. This week, the manager has counted $140$ post it notes in the closet. They have already placed an order with a supplier for $300$ post it notes that should arrive in $3$ days. What is the Office Manager's Inventory Position?

Order Quantity: $Q=R-$I, where

An Office Manager uses a Periodic Review Inventory System: they check the inventory in their Office Supply Closet once every $10$ days, placing an order with their supplier depending on the inventory level in the closet. This week, the manager has counted $140$ post it notes in the closet. They have already placed an order with a supplier for $300$ post it notes that should arrive in $3$ days. What is the Office Manager's