The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and inversely as the length, l. A wooden beam 5in.
5
⁢
in.
wide, 4in.
4
⁢
in.
deep, and 2ft
2
⁢
ft
long holds up 34387lb
34387
⁢
lb
. What load would a beam 8in.
8
⁢
in.
wide, 2in.
2
⁢
in.
deep, and 15ft
15
⁢
ft
. long, of the same material, support? Round your answer to the nearest integer if necessary