A $25-$ ft $-$long column is made of aluminum alloy $2014-$T$6.$

Part A

If it is pinned at its top and bottom, and a compressive load P is applied at point $A,$ determine the maximum allowable magnitude of $P$ using the equations ${}_{\text{m}\text{a}\text{x}}=\frac{P}{A}+\frac{M{M}_c}{\text{I}}$ and ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=[\frac{54000}{(K\frac{L}{r}{)}^2}].$

Express your answer to three significant figures and include appropriate inits.