Hindustan Engineering Factory consumes $75000$ units of a

component per year. The ordering, receiving and handling

costs are Rs$\mathrm{.}6$ per order while transportation cost is Rs$\mathrm{.}24$

per order. Depreciation and obsolescence cost is Rs$.0\mathrm{.}008$

per unit per year, interest cost Rs$\mathrm{.}0\mathrm{.}12$ per unit per year,

storage cost Rs$.2000$ per year for $75000$ units. Calculate $($a$)$

EOQ, $($b$)$ Total inventory cost with EOQ