第1句：We look forward to your early reply.

A:We look forward to your early reply and trust that through our mutual cooperation we shall be able to conclude this transaction with you in the near future.
我们期待您的回复，并相信通过共同努力，在不久的将来我们会完成这笔交易。
B:Thank you for your consideration. We will inform you of our intention as soon as possible.
感谢你方的考虑。我们会尽早告知你方我方的意向。
A:I hope you'll see that we are really doing our utmost.
希望你方可以感觉到我方的诚意。

第2句：Please inform us of your decision as soon as possible.

A:We wish to express our desire to trade with you in leather shoes.
我们希望和您做皮鞋贸易。
B:We are interested in this field,
我们对这个领域很感兴趣。
A:Please inform us of your decision as soon as possible.
请把贵方决定尽快通知我们。

知识点延伸：

1. 开头语言简洁可证明你是专业而老练的商人，同时可立即拉近与客户的距离，而对商人来说过多的寒暄实在是多余的。

2. 其他表达法：

We hope to discuss business with you at your earliest convenience.
我们想尽早和您谈这笔生意。

I hope we can do business together, and look forward to hearing from you soon.
我希望我们能合作，并盼望着您尽早回复。

3. look forward 期待；盼望

Running is now that part of the day that I am looking forward to like some people look forward to a huge piece of chocolate cake in the evening.
而现在，跑步对我而言不再是一种折磨，而是一天中我最期待的部分，就像一些人最期待晚上的时候来上一大块巧克力蛋糕一样。

I look forward, in particular, to your discussion of the item on WHO reform for a healthy future.
我尤其期待你们对世卫组织改革与创造健康未来这一项目进行讨论。

Why do you think the show is so popular, and what can we look forward to next?
你认为这部剧受欢迎的原因是什么？以及接下来我们可以期待什么？