PLEASE ANSWER THIS QUESTION ASAP.IT'S SO IMPORTANT .

You run a large bakery that makes and sells 4 types of fresh breads (let us call them A, B, C, D) to the local supermarkets. In your bakery, you have set up a three-step process: dough preparation, baking, and packaging. You have an oven that is capable of baking 800 bread/hour. However, you can only bake one type of bread at a time. This oven requires 20 minutes of cleaning and adjusting at the end of each baking. You decide to bake the breads in cycles. That means you bake A, then B, then C, and D in each cycle. Based on your experience, you know that the demand rates for bread A, B, C, and D are 100, 150, 75, 100 bread/hour, respectively. Now, you want to decide the batch sizesfor these four types of breads to not only minimize your inventory of breads but also to satisfy the demand requirements.

a- What batch size is chosen for bread B in each cycle to meet the demand for the B bread?

b- What would be the average inventory of bread C if you decided to make a total of 200 loafs of type C in each cycle. Round up your answers to an integer number.