Catering has been franchised (out) to a private company.

餐饮特许经营权已授予一家私人公司。

《牛津词典》

Do you work at a private company or at a state-own company?

你是在私企上班还是在国企工作？

youdao

Aydin Municipality bought the plane from a private company for just under US$100,000, but they hope to see a return on that investment through the tourism industry.

艾登市政府以不到10万美元的价格从一家私人公司购买了这架飞机，但他们希望这笔投资能从旅游业中有所回报。

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The Securities and Exchange Commission says a private company must report financial information if it has five hundred shareholders or more.

VOA: special.2011.01.07

If you're a private company, you're subject to regulation that limits a lot of things you can do.

一家私募公司,同样需要遵守多项规定,许多活动也受到了限制

耶鲁公开课 - 金融市场课程节选

Now, if you are a private company, you are limited to where you can sell your investments.

如果你的公司是私募性质,在推销投资产品方面会面临许多限制

耶鲁公开课 - 金融市场课程节选

But network providers are not opposing the San Francisco plan because it involves a private company.

NPR: San Francisco Weighs Wi-Fi Plans

But what if he were to be paid like a CEO of a private company?

FORBES: Grasso Overpaid By Any Measure

Shropshire Fire and Rescue Service has announced plans to set up a private company.

BBC: Shropshire Fire and Rescue to launch new company