$$ The Noname Computer Company builds a computer designated model ICU$2.$ It imports the motherboard of the computer from Taiwan, but the company inserts the sockets for the chips and boards in its plant in Lubbock, Texas. Each computer requires a total of ninety $64$ K dynamic random$-$access memory $($DRAM$)$ chips. Noname sells computers with three add$-$in boards and two disk drives. The company purchases both the DRAM chips and the disk drives from an outside supplier. The product structure diagram for the ICU$2$ computer is given in Figure $8-6.$ Suppose that the forecasted demands for the computer for weeks $6$ to $11$ are $220,165,180,120,75,300.$ The starting inventory of assembled computers in week $6$ will be $75,$ and the production manager anticipates returns of $30$ in week $8$ and $10$ in week $10.$

$$ a$.$ Determine the MPS for the computers.

$$ b$.$ Determine the planned order release for the motherboards assuming a lot$-$for$-$lot scheduling rule.

$$ c$.$ Determine the schedule of outside orders for the disk drives.