Arrange chicken pieces in a 2 quart oblong baking dish, keeping thicker portions to the outside edge. Cover with wax paper. Microwave at medium high (70%) until fork tender, 12 to 14 minutes, turning over after half the cooking time. Set aside. Puncture each vegetable package twice. Place boxes in microwave oven on a paper towel. Microwave at high (100%) 11 to 12 minutes. Set aside. Place butter in a bowl. Microwave at high (100%) until melted, 45 seconds to 1 minute. Stir in flour, salt, peppers and bouillon. Blend in milk and half and half. Microwave at medium high (70%) until mixture thickens, 6 to 8 minutes, stirring each 2 minutes. Stir in Parmesan cheese. Arrange broccoli in a 2 quart oblong baking dish. Pour half the sauce over top. Place chicken on top of sauce. Pour remaining sauce over chicken. Sprinkle with additional Parmesan cheese, if desired. Cover with wax paper. Microwave at medium high (70%) until hot and bubbly, 3 to 4 minutes. Makes 6 servings.