Pam runs a mail$-$order business for gym equipment. Annual demand for TricoFlexers is $23,500.$ The annual holding cost per unit is $$1\mathrm{.}75,$ and the cost to place an order is $$44.$

a$.$ What is the economic order quantity?

The EOQ is $.($Enter your response rounded to the nearest whole number.$)$

b$.$ Suppose demand for TricoFlexers doubles, to $47,000.$

The EOQ for the new value of demand is $.($Enter your response rounded to the nearest whole number.$)$

Does the EOQ also double?

A$.$ No$,$ the EOQ does not double as the annual demand doubles. The EOQ is inversely proportional to the Nemand.

B$.$ No$,$ the EOQ does not double as the annual demand doubles. The EOQ increases by the square$-$root of the product of two$-$times the demand times ordering cost, divided by holding cost.

C$.$ No$,$ the EOQ does not double as the annual demand doubles. The EOQ is inversely proportional to the square$-$root of the demand.

D$.$ Yes, the EOQ doubles because the EOQ is directly proportional to the demand.

c$.$ The manufacturer of TricoFlexers has agreed to offer Pam a price discount of $$9$ per unit $($ $$35$ rather than $$44)$ if she buys $2,300.$ Assuming that annual demand is still $23,500,$ how many units should Pam order at a time?

Pam should order $$ units at a time. $($Enter your response rounded to the nearest whole number.$)$