A retail store sells $2,000$ boxes of family noodles on average each month. Each box costs the store $$12\mathrm{.}5.$ Right now, the retail store orders $10,000$ boxes from the supplier for each inventory cycle. On average, how long does a noodle box spend in warehouse?

a$.$

$1\mathrm{.}5$ months

b$.$

$1$ month

c$.$

$2\mathrm{.}5$ months

d$.$

$2$ months