Summer Filet of Beef with Bearnaise Mayonnaise

Name: Summer Filet of Beef with Bearnaise Mayonnaise
Yield: 8-10
Ingredients: 1 (4- to 5-pound) beef tenderloin, whole; 3/4 cup Shallots; 4 tbsp Tarragon, fresh leaves; 3 Egg yolks, large; 1 tbsp Dijon mustard; 3 tbsp Lemon juice, freshly squeezed; 1 Kosher salt and freshly ground black pepper; 1/2 cup Olive oil, good; 1/4 cup Tarragon or white wine vinegar; 1 cup Vegetable or canola oil; 6 tbsp Butter, unsalted; 1/2 cup White wine, dry