Your client is a company who would like to optimize the economic order quantity to reduce the annual cost. The inventory is depleted at the rate of $$ units per year.

The annual cost is:

$C=\frac{hQ}{2}+\frac{s}{Q}$

Where $s$ is the ordering cost, $c$ is the unit cost. and $h$ is the holding cost. In this problem we consider that $=9000,s=0\mathrm{.}004,h=8$

Use the golden search and complete the $4$ first iterations to find the optima EOQ. Let the search be within the interval $[1,6].$In iteration $0$ what is the value for a$?$