Bajaj Electronics produces specially coded computer chips for laser surgery in $64$MB$,256$ MB

and $512$ MB sizes $(1$ MB means that the chip holds $1$ million bytes of information$).$ To produce a

$64$GB chip requires $8$ hours of labor, a $256$MB chip takes $13$ hours, and a $512$MB chip requires $16$

hours. Bajaj$$s monthly production capacity is $1200$ hrs$.$ The firm$$s sales manager, estimates that the

maximum monthly sales of the $64$MB$,256$MB and $512$MB chips are $40,50$ and $60,$ respectively. The

company has the following goals $($ranked in order from most important to least important$)$:

a$)$ Fill an order from the best customer for thirty $64$MB chips and thirty$-$five $256$ MB chips.

b$)$ Provide sufficient chips to at least equal the sales estimate set by the sales manager.

c$)$ Avoid underutilization of the production capacity.