Preheat oven to 350°F. Grease and flour 8x8x2-inch baking pan.
In medium microwave-safe bowl, microwave butter at HIGH 45 to 55 seconds or just until melted. Add quick-bread mix, carrot, walnuts, if desired, and egg. Mix well. (Dough will be stiff.) Spread into prepared pan.
Bake 30 to 35 minutes or until top springs back when touched lightly. Cool completely. Spread with frosting. Refrigerate remaining frosting for future use.
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