Towson Company manufactures book cases, and each requires 18 board feet of lumber. Towson expects that 2,000 and 1,850 book cases will be built in June and July, respectively. Towson keeps lumber on hand at 20% of the next month's production needs (assume that 20% of June's needs was purchased in May). Use this information to determine number board feet of lumber that Towson Company should buy in June. (Round & enter final answer to the nearest whole number.)

I believe the answer is 35,400 but would like confirmation and an explanation to make sure im doing it right