A manager receives a forecast for next year. Demand is projected to be $498$ units for the first half of the year and $960$ units for the second half. The monthly holding cost is $$2$ per unit, and it costs an estimated $$55$ to process an order.

a$.$ Assuming that monthly demand will be level during each of the six$-$month periods covered by the forecast $($e$.$g$.,83$ per month for each of the first six months$),$ determine an order size that will minimize the sum of ordering and carrying costs for each of the six$-$month periods. $($Round your answers to the nearest whole number.$)$