Quantitative $(3$ points each part$)$: As on previous quiz, you must show all your work and CIRCLE THE CORRECT ANSWER. Please round to Zero decimal points for all quantity answers.

The popularity of Yari's Bodega Cat Food has resulted in a steady demand from Giselle's Supermarket Warehouse Stores. Over the course of the past week, $1243$ customers have ordered YBCF throughout all her locations. It costs seven cents to hold a bag in inventory for a year and $$11$ to place an order. $(12$ total points$)$

a$.$ What is the optimal order quantity?

b$.$ Number of orders per year?

c$.$ Length of the order cycle?

d$.$ Total annual cost $($make sure I see the total holding cost, and total ordering cost$)?$

Due to financial problems, Giselle needs to reduce the lot size by $30\%(15$ total points$)$

a$.$ What is the new order quantity?

b$.$ Length of the order cycle?

c$.$ What is the new total annual holding cost?

d$.$ What is the new total annual ordering cost?

e$.$ What is the new total cost?