Consider the all$-$units quantity discount schedule below. The annual demand is $90,000$ units, the setup cost is $$1000$ per order, and the annual holding cost is $30\%$ of the unit cost. What is the optimal order quantity? Quantity Ordered Price Per Unit $1499$ $$300500999$ $$28010001499$ $$2501500$ and over $$210$Raw materials inventory for an oil processing plant located in Arnold, MO$,$ is procured from a large supplier via rail. Each shipment costs $$2500.$ The Arnold, MO facility produces $2,000$ gallons of oil per hour, operates $14$ hours per day in two shifts, and is open $7$ days a week for $52$ weeks a year. Raw materials cost $$0\mathrm{.}2$ per gallon and incur a holding cost of $20$ percent per year. How many gallons of raw materials should be ordered per shipment? How often will this order be placed? What is the cycle inventory for the raw materials?