Sarah Patel owns a boutique bakery that specializes in custom cakes for special occasions. The annual demand for these cakes is 400, and Sarah bakes them in batches. On

3. [15 points] Sarah Patel owns a boutique bakery that specializes in custom cakes for special occasions. The annual demand for these cakes is 400, and Sarah bakes them in batches. On average,

average, she can bake 15 cakes per day, and customer demand has been around 2 cakes per day. The cost to set up the baking process is $50, and it costs Sarah 50 cents to carry one cake for one year. How many cakes should Sarah bake in each batch to optimize her production process