Economic Order Quantity Problem $4$

$4.$ Suppose R & B Beverage Company has a soft$-$drink product that has a constant annual demand rate of $3,600$ cases. A case of the soft drink costs $R$&$B$$$3\mathrm{.}00.$ If ordering costs are $$20$ per order and inventory holding costs are charged at $25\%,$ what are the EOQ and cycle time in days for this product?

A general property of the EOQ inventory model is that total inventory holding and total ordering costs are equal or balanced at the optimal solution. Use the above data to show that this result is observed.