Week 1 Homework - Optimizing Production for a Bakery A bakery produces two types of cakes: Chocolate Cake ( x1) and Vanilla Cake ( x2). The bakery aims to maximize profit while considering limitations on ingredients and oven capacity. Each Chocolate Cake requires: -2 cups of flour -3 eggs -1 hour of oven time Each Vanilla Cake requires: -3 cups of flour -2 eggs -2 hours of oven time The bakery has: -20 cups of flour available per day -18 eggs available per day -24 hours of oven time available per day Each Chocolate Cake sells for $400, and each Vanilla Cake sells for $500 Using the graphical method, determine the optimal number of Chocolate Cakes (x1)and Vanilla Cakes ( x2) that should be produced daily to maximize profit while satisfying the given constraints.