The phrase "a highly profitable operation" is correct and usable in written English.
You can use it when describing a business or activity that generates significant financial returns.
Example: "The company has transformed into a highly profitable operation since implementing its new marketing strategy."
Alternatives: "a very lucrative venture" or "an extremely successful enterprise."
Despite its ratings woes, MSNBC remains a highly profitable operation thanks to the subscriber fees it takes in from cable and satellite operators.
There was no place to relocate & since the branch is a highly profitable operation closing for more than a year was unthinkable.
Freeport has successfully managed these risks and developed the Grasberg mine as a highly profitable operation.
Servicing and supplying these machines with parts, paper, plastic sheets and the like is a highly profitable operation, akin to the annuity Hewlett-Packard enjoys on its ink cartridges.
Adelson is being sued for wrongful dismissal and defamation by the former CEO of his highly profitable operations of a Las Vegas Sands subsidiary in the Chinese enclave of Macau.
Actor Bryan Cranston played the terminally ill chemist who crafted a highly profitable drugs operation to provide for his family after his death.
He bailed out the satellite radio company in 2009, a highly profitable rescue operation that led to creeping control and eventually to majority ownership for him earlier this year, without his ever having to pay a premium.
The result of preliminary research in the United States shows that the huge reduction in travel time afforded by the ultrahigh-speed SCMAGLEV is sufficient to bring about a significant enough shift away from automobile travel to enable a highly profitable SCMAGLEV operation and attract private investment.
They are multi-billion dollar, highly profitable operations and it's time they stepped up and provide a level of customer service to help resolve these kinds of issues in a timely fashion.
Tax allowances for the depreciation of players mean that reported losses may actually mask highly profitable operations.
In many ways, however, it is the exact model used by multinational corporations that depend on poorly paid workers in developing countries to staff their highly profitable operations.
