Garden Variety Flower Shop uses $610$ clay pots a month. The pots are purchased at $\backslash (\backslash$$ $2\mathrm{.}70\backslash )$ each. Annual carrying costs per pot are estimated to be $50$ percent of cost$,$ and ordering costs are $\backslash (\backslash$$ $30\backslash )$ 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.$)$ b$.$Other than cost savings, what benefit would using the optimal order quantity yield $($relative to the order size of $1,000\backslash ()\backslash ))($Use the rounded order quantity from Part a$.$ Round your final answer to the nearest whole percent.$)$