Pro Sporting Goods is creating a separate division to manufacture basketballs under a private label for a major retail chain. The retail chain has guaranteed an order of $5000$ basketballs per month during the first year and will pay $$10$ per basketball. The retailer will pay for its purchases in $60$ days. The basketballs cost Pro Sporting Goods $$4\mathrm{.}50$ to manufacture. The operating expenses of the new division are expected to be $$5,500$ per month and the division$$s profits are subject to a $21\%$ corporate tax rate $($paid monthly$).$ The division is going to begin operations on January $1,2019.$

a$.$ Prepare profit and loss statements for January, February, and March $2019.$

b$.$ What are the division$$s cumulative net profits for the first three months of operation?

c$.$ Prepare cash flow statements for January, February, and March $2019.$

d$.$ What is the division$$s cumulative cash flow for the first three months of operation?

e$.$ How much cash does Pro Sporting Goods need to have on hand to start this division?