Problem $12-5($Algo$)$

Garden Variety Flower Shop uses $810$ clay pots a month. The pots are purchased at $$3\mathrm{.}30$ each. Annual carrying costs per pot are

estimated to be $20$ percent of cost$,$ and ordering costs are $$15$ per order. The manager has been using an order size of $1,750$ 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 $1,750)?($Use the

rounded order quantity from Part a$.$ Round your final answer to the nearest whole percent.$)$