calc I application problem -- need help ASAP

[Guest]

a computer software company sells 20,000 copies of a certain computer game each year. it costs the company $1 to store each of the game for one year and a proportionate amount for part of a year (i.e. for 3 month .25) each time it must produce additional copies, it costs the company 625 to set up production. how many production runs and how many copies in each run will minimize its total storage and set up cost?

 

[Gene]

I'll give tt a try.
Assuming they ship daily, the same number each day they ship 20,000/365 per day. With n days between runs storage cost is
(cost/game/day)*(avg no. of days)*(no. of games) =
$(1/365)*(n/2)*(n*20,000/365) =
.075*n²
Run cost is $625*365/n
Total cost = .075n² + 228,125/n
Solve for n.