For the simply$-$supported beam with point load, P $,$ of $1000$ lb $,$ point$-$applied moment, M $,$ of $2550lb-ft,$ and a ramp load varying from $0$ to $120l\frac{b}{f}t,$ the vertical reaction at A is most nearly:

A$.190$ lb

B$.259$ lb

C$.297$ lb

D$.378$ lb

E$.491$ lb

F$.725$ lb

G$.983$ lb

H$.1113$ lb

I. $1183$ lb

J$.1271$ lb

The vertical reaction at $B$ is most nearly:

A$.190$ lb

B$.259$ lb

C$.297$ lb

D$.378$ lb