These properties are more particular: (6)Nonincreasing returns to scale. If y∈Y, then ay∈ Y for all a e[0,1-you can always scale down (7 Nondecreasing returns to scale. If y∈Y, then ay∈ Y for all a≥1- you can always scale up 8)Constant returns to scale Ify e y, then ay e y for all a>0you can always scale up or down 9) Additi vity(also free entry)if yE Y and y∈ Y then y+y∈Y (10) Convexity if y∈ Y and y∈ y then ay+(1-a)∈ Y for all a∈[0,1 (11Yis a convex conde. If for any yy∈ y and a≥0,β≥0,ay+By∈YThese properties are more particular: (6) Nonincreasing returns to scale. If y Y, then y Y for all 0, 1 – you can always scale down. (7) Nondecreasing returns to scale. If y Y, then y Y for all 1– you can always scale up. (8) Constant returns to scale If y Y, then y Y for all 0– you can always scale up or down. (9) Additivity (also free entry) if y Y and y Y then y y Y (10) Convexity if y Y and y Y then y 1 y Y for all 0, 1 (11) Y is a convex conde. If for any y, y Y and 0, 0, y y Y