Garden Variety Flower Shop uses $610$ clay pots a month. The pots are purchased at $$2\mathrm{.}70$ each. Annual carrying costs per pot are estimated to be $50$ percent of cost$,$ and ordering costs are $$30$ per order. The manager has been using an order size of $1,000$ flower pots.

a$.$ What additional annual cost is the shop incurring by staying with this order size? $($Round your optimal order quantity to the nearest whole number. Round all other intermediate calculations and your final answer to $2$ decimal places.$)$

Additional annual cost

b$.$ Other than cost savings, what benefit would using the optimal order quantity yield $($relative to the order size of $1,000)?($Use the rounded order quantity from Part a$.$ Round your final answer to the nearest whole percent.$)$

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