Question: Punta Gorda Airport offers numerous flights from the company that has headquarters in what city?

Context paragraphs:
Punta Gorda Linear Park: The Punta Gorda Linear Park is a mile-long rail trail in Punta Gorda, Florida.  It runs from Cross Street (US 41) near Helen Avenue southeast though a residential neighborhood to Fisherman's Village.  Despite its short length, it connects to the Harborwalk at Fisherman's Village, which runs an additional two and a half miles northeast along the Peace River.  It also connects to Punta Gorda's Shared-Use Path along Shreve Street.

St. Peter Claver Catholic parish, Belize: The Garifuna arrived in Punta Gorda from the coast of Honduras in the late 1700s.  They had Catholic roots from their ancestry in Dominica.  In 1862 the first Catholic church among the Garifuna of British Honduras/Belize was built in Punta Gorda by Belgian Jesuit Fr.  John Genon.  From Punta Gorda he served the missions along the coast from Redcliff (Barranco) to Stann Creek Town.

Punta Gorda River: The Punta Gorda River (Rio Punta Gorda) is a river in eastern Nicaragua.  It originates in the Caribbean highland and flows east to enter the Caribbean Sea at Punta Gorda.  Part of the river's drainage area is the protected Punta Gorda Natural Reserve.

Bayfront Health Punta Gorda: Bayfront Health Punta Gorda, formerly known as Charlotte Regional Medical Center, is a 208 bed for-profit hospital in Punta Gorda, Florida, operated by Community Health Systems.  It was the first hospital in Charlotte County, and the hospital first opened its doors on August 17, 1947 as Charlotte Hospital.  The hospital is mostly known for its cardiology and neurology services.  Charlotte Regional Medical Center saw the most damage from Hurricane Charley out of the three hospitals in Charlotte County; damage from the hurricane temporarily disabled all services at the facility.  Riverside Behavioral Center is part of Bayfront Health Punta Gorda.

Punta Gorda, Florida: Punta Gorda ( ; English: Fat Point ) is a city in Charlotte County, Florida, United States.  As of the 2010 census the city had a population of 16,641.  It is the county seat of Charlotte County and the only incorporated municipality in the county.  Punta Gorda is the principal city of the Punta Gorda, Florida Metropolitan Statistical Area and is also in the Sarasota-Bradenton-Punta Gorda Combined Statistical Area.

Punta Gorda Airport (Belize): Punta Gorda Airport (IATA: PND) is an airport serving Punta Gorda, a town in the Toledo District in southern Belize.

Allegiant Air: Allegiant Air is an American low-cost airline that operates scheduled and charter flights.  It is wholly owned by Allegiant Travel Company (NASDAQ: ALGT ), a publicly traded company with 3,700 employees and over $2.6 billion USD market capitalization.  The corporate headquarters are in Summerlin, Nevada, a suburb of Las Vegas.

Old First National Bank of Punta Gorda: The Old First National Bank of Punta Gorda (also known as the Old Merchants Bank of Punta Gorda) is a historic bank in Punta Gorda, Florida, United States.  It is located at 133 West Marion Avenue.  On March 14, 1991, it was added to the U.S. National Register of Historic Places.

Punta Gorda Airport (Florida): Punta Gorda Airport (IATA: PGD, ICAO: KPGD, FAA LID: PGD) is a public airport three miles southeast of Punta Gorda, in Charlotte County, Florida.  It is owned by the Charlotte County Airport Authority and was formerly called Charlotte County Airport.  The airport has mainly been used by single engine and small jet aircraft, but has recently seen more scheduled airline service, with numerous flights offered by Allegiant Air.  The airport is home to the Florida International Air Show, an annual event which has featured various military demonstration teams, such as the United States Navy's Flight Demonstration Squadron, the "Blue Angels"; the "U.S. Air Force Thunderbirds"; and the United States Army's "Sky Soldiers" (173rd Airborne Brigade Combat Team) Cobra helicopter team.

Deep Creek, Florida: Deep Creek is a deed restricted unincorporated community in Charlotte County, Florida, United States.  It lies 5.5 mi east northeast of Port Charlotte.  The community is part of the Punta Gorda Metropolitan Statistical Area.  Deep Creek is served by utilities of both Punta Gorda and Port Charlotte.  Deep Creek's mail is processed at the Punta Gorda post office, but telephone numbers in the area are registered as Port Charlotte.

Supporting paragraphs: Punta Gorda Airport (Florida) Allegiant Air
Answer: Summerlin, Nevada