Mason Electronic produces specially coded hard$-$disk $($HD$)$ in $500$GB$,1$TB$,$ and $2$TB sizes. To

product a $500$GB requires $8$ hours of labor, a $1$TB takes $13$ hours, and one $2$TB chip requires

$16$ hours. Manson$$s monthly production capacity is $1,200$ hours. The firm$$s sales manager

estimates that the maximum monthly sales of the $500$GB$,1$TB and $2$TB HD are $40,50,$ and $60,$

respectively. The company has the following goals $($ranked in order from most important to

least important$)$:

$1.$ Fill an order from the best customer for thirty $500$GB HD and thirty$-$five $1$TB HD$.$

$2.$ Provide sufficient hard$-$disk to at least equal the sales estimates.

$3.$ Avoid underutilization of the production capacity.

Formulate this problem using goal programming.