Hilliard Electronics produces specially coded computer chips for laser surgery in $64MB,256MB,$ and $512MB$ sizes. $(1$MB means that the chip holds $1$ million bytes of information.$)$ To produce a $64MB$ chip requires $8$ hours of labor, a $256MB$ chip takes $13$ hours, and a $512MB$ chip requires $16$ hours. Hilliard's monthly production capacity is $1,200$ hours. Mr$.$ Blank, the firm's sales manager, estimates that the maximum monthly sales of the $64MB,256MB,$ and $512MB$ chips are $40,50,$ and $60,$ respectively. The company has the following goals $($ranked in order from most important to least important$)$ Fill an order from the best customer for thirty $64MB$ chips and thirty$-$five $256MB$ chips.

Provide sufficient chips to at least equal the sales estimates set by Mr$.$ Blank.

Avoid underutilization of the production capacity.

Formulate this problem using goal programming.