$6.$ Component Ordering. Morgan Inc. is planning the purchase of one of the component parts it needs for its finished product. The anticipated demands for the component for the next $12$ periods are shown in the following table. The cost to order the component $($labor$,$ shipping, and paperwork$)$ is $$150.$ The cost to hold these components in inventory is $$1$ per component per period. The price of the component is expected to remain stable at $$12$ per unit for the next $12$ periods, and no quantity discounts are available.The maximum order size is $1,000$ units.