$3.$ Ardmore Farm and Seed $($problem $1.)$ was recently approached by its supplier with a new quantity

discount program. The supplier offered the following quantity discounts.

Quantity Cost Per Unit

$0-4,999$ $$40\mathrm{.}00$

$5,000-9,99939\mathrm{.}00$

$10,000-19,99937\mathrm{.}00$

$20,000+35\mathrm{.}00$

Ardmore felt that these quantity discounts would give them a real competitive edge but realize that other

costs would be affected such as ordering costs and holding costs.

a$.$ What quantity should Ardmore order based on the quantity discounts offered?