Assume you are the manager of a shop that assembles power tools. You have just received an order for $50$ chain saws, which are to be shipped at the start of week $8.$ Pertinent information on the saws follows:

Item Lead Time $($weeks$)$ On Hand Components

Saw $215$ A$(2),$ B$(1),$ C$(4)$

A $110$ E$(3),$ D$(1)$

B $25$ D$(2),$ F$(3)$

C $265$ E$(2),$ D$(2)$

D $120$

E $110$

F $230$