Dr. Edwin G. Hyde, a board-certified anesthesiologist, applied for permission to practice at East Jefferson Hospital in Louisiana. An approval was recommended for his hiring, but the hospital's board denied him employment on grounds that the hospital had a contract with Roux & Associates for Roux to provide all anesthesiologic services required by the hospital's patients. Dr. Hyde filed suit for violation of antitrust laws. Had the hospital done anything illegal? [Jefferson Parish Hosp. Dist. No. 2 v. Hyde, 466 U.S. 2]