Problem $12-5($Algo$)$

Garden Variety Flower Shop uses $570$ clay pots a month. The pots are purchased at $$2\mathrm{.}90$ each. Annual carrying costs per pot are

estimated to be $10$ percent of cost$,$ and ordering costs are $$10$ per order. The manager has been using an order size of $2,000$ flower

pots.

a$.$ What additional annual cost is the shop incurring by staying with this order size?

Note: 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 $2,000)?$

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