Our resources are strained to the utmost.

我们的资源极端紧缺。

He would keep his pledge to the utmost of his power.

他将极力信守他的誓言。

He exerts him to the utmost.

他作出最大的努力。

We must support her to the utmost.

我们必须不遗余力地支持她。

To the utmost extent.

最大限度地。