Question $11$: EOQ

Please show all steps$/$work$/$formulas

Matthew Liotine's Dream Store sells water beds and assorted supplies. His best$-$selling bed has an annual demand of $400$ units. Ordering cost is $$40$; holding cost is $$5$ per unit per year.

a$)$ To minimize the total cost, how many units should be ordered each time an order is placed?

EOQ$=\_\_\_$ units $($round your response to the nearest whole number$).$

b$)$ If the holding cost per unit was $$6\mathrm{.}00$ instead of $$5,$ what would the optimal order quantity be$?$

New EOQ$=\_\_\_$ units $($round your response to the nearest whole number$).$