A ship of displacement type will be designed.

a$.$ A ship of displacement type will be designed. As the design engineer of the ship, you need to decide on the main dimensions of the ship. Since you have been informed that you can increase the length value determined by the shipowner for the ship by maximum $10\%$ and that the new displacement value of the ship in case of length change should not be more than the value given below and the ship speed is constant, calculate the most suitable length, CB$,$ CP$,$ CM values for this ship and show that the displacement value of the ship in the new condition meets the conditions. For this calculation, use your knowledge of wave interference and your basic hydrostatic knowledge.

LO: Given speed of the ship

D$0$: Given displacement of the vesse$)$

L$1$: Optimal length of the vessel

D$1$: Maximum displacement of the vessel

L$1/$LO $=x$

D$1=(20x^2+44x-23{)}^{**}$ D$0$

a$.$ Calculate the effective wave interference length for this vessel.

b$.$ Find the maximum transom stern depth that can be selected for this vessel.