To prepare the sauce, mix olive and vegetable oils. In a separate bowl, mix mustard, honey, sugar, vinegar, lemon juice, salt, pepper and beat with a whisk. Then pour the oil mixture into the resulting mass, stirring slowly.
Arrange the arugula on a plate and pour over half of the sauce. Spread the pre-cut duck and stewed asparagus in an even layer and cover with berries. Top with sauce.