$10-23$ Hilliard Electronics produces specially coded com$-$puter 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 $64$MBchip requires $8$ hours of labor, a $256$MB chip takes$13$ hours, and a $512$MB chip requires $16$ hours. Hill$-$iard$$s monthly production capacity is $1,200$ hours.Mr$.$ Blank, the firm$$s sales manager, estimates thatthe 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 or$-$der from most important to least important$)$:$1.$ Fill an order from the best customer for thirty$64$MB chips and thirty$-$five $256$MB chips$\mathrm{.}2.$ Provide sufficient chips to at least equal thesales estimates set by Mr$.$ Blank$\mathrm{.}3.$ Avoid underutilization of the productioncapacity