Clement Bait and Tackle has been buying a chemical water conditioner for its bait $($to help keep its baitfish alive$)$ in an optimal fashion using EOQ analysis. The supplier has now offered Clement a discount of $$0\mathrm{.}50$ off all units if the firm will make its purchases monthly or $$1\mathrm{.}00$ off if the firm will make its purchases quarterly. Current data for the problem are:D$=720$ units per year;S$=$ $$6\mathrm{.}00,20\%$ per year;P$=$ $$25.($a$)$ What is the EOQ at the current behavior? $($b$)$ What is the annual total cost, including product cost, of continuing their current behavior? $($c$)$ What are the annual total costs, if they accept either of the proposed discounts? $($d$)$ At the cheapest of the total costs, are carrying costs equal to ordering costs