Supermodel Linda Evangelista announced last month that Francois-Henri Pinault is the father of her four-year old son, and now she is suing him for $46,000 a month in child support.

Pinault -- the founder, chairman, and CEO of PPR, a luxury fashion and retail group -- also has a 3-year-old daughter with his wife, actress Selma Hayek, along with two children from a previous marriage.

Evangelista's son Augustin James was reportedly conceived in 2006 while Pineault and Hayek were temporarily separated. The actress and businessman were married in 2009.

Pinault has a net worth of $11.5 billion and Evangelista is a highly paid supermodel who continues to work after more than two decades in the business.

In 1990, Evangelista notoriously told a Vogue reporter "We don't wake up for less than $10,000 a day," referring to herself and fellow supermodel Christy Turlington.

During Monday's proceedings at Manhattan Family Court, Evangelista insisted she needed the support to help fund nannies and drivers who double as security guards, Stylite reported, adding that "Evangelista's lawyer painted Pinault as a deadbeat dad who has not given a single cent to the toddler or his mother."

Evangelista explained that her sometimes 16-hour workdays require the help of a nanny. "On days when I do not work, I am working on my image," the model told the judge.

"I have to hit the gym. I have beauty appointments. I have to work toward my next job and maintaining my image, just like an athlete."

The Stylite report indicated that the judge was sympathetic to Evangelista's claim.

"These are the extraordinary expenses that may be a part of the child's life," the judge is reported as saying. "And if there is a trial [in the support case] with a lot of publicity, there will probably be a need for two detectives to drive this kid around."