$9\mathrm{.}2$ The following $11$ operations are to be scheduled on four parallel machines.

Management's goals are:

Minimize $F,$ the overall time in the shop.

Reduce $M,$ the maximum time in the shop.

a$)$ What sequence do you suggest? Justify your choice.

b$)$ Present your result in a Gantt chart, and calculate the $F$ and $M$

values.

c$)$ Is this result optimal for one of these measures? For both? Explain.