The long-run supply curve for a given competitive firm can be written as QF = -250 +

Question:

The long-run supply curve for a given competitive firm can be written as QF = -250 + 8P or P = $31.25 + $0.125QF. Explain why the amount supplied by 50 such competitors is determined by multiplying the first expression by 50 rather than by multiplying the second expression by a similar amount.