A certain product costs $

$2$

$0$

$0$

$$to order. The cost per unit is $

$2$

$5$

$$and the cost to carry one unit in inventory for

$1$

$$year is

$2$

$0$

$\%$

$$of the value of the product. Monthly demand is

$1$

$,$

$0$

$0$

$0$

$$units$.$ The company operates

$5$

$$days a week,

$4$

$$weeks per month.

Assume the company manufactures the unit instead of purchasing it

$,$

$$and so the replenishment is not immediate, but rather gradual over time. If the production rate is

$7$

$5$

$0$

$$units per day, what is the optimal order quantity? answer choices are: $890,980,1014,780$