The W14 \(\times 22\) column is fixed at its top and bottom. If a horizontal load (not shown) causes it to support end moments of \(M=15 \mathrm{kip} \cdot \mathrm{ft}\), determine the maximum allowable axial force \(P\) that can be applied. Bending is about the \(x-x\) axis. Use the interaction formula with \(\left(\sigma_{b}\right)_{\text {allow }}=\) \(24 \mathrm{ksi}\).

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12 in. P 24 ft x P