Given a wall$-$sided box barge floating in sea water with length between perpendiculars of $200$

$ft.,$ beam of $45$ ft $.$ and draft of $7$ ft $.$ The longitudinal second moment of area about the $L_{CF}$ is

$I_{Llcf}=3\mathrm{.}0{10}^{7}f{t}^4.$ and the $L_{CF}$ is located at midship. A $40\mathrm{.}0$ LT weight is placed on the cen$-$

terline of the barge $55ft.$ aft of midship.

Find the following

a$.)$ MT$1"$

b$.)$ TPI

c$.)$ Parallel sinkage $($in feet$)$

c$.)$ Change in trim $($in feet$)$