A duality:

If you want to maximize a product (A*B*C) by adding a constant (>0) to one of the factors, you should pick the smallest one.

If you want to maximize a sum (A+B+C) by multiplying one of the factors by a constant (>1), you should pick the largest one.

The other two cases:

If you want to maximize a product (A*B*C) by multiplying one of the factors by a constant (>1), it doesn't matter what you pick.

If you want to maximize a sum (A+B+C) by adding a constant (>0) to one of the factors, it doesn't matter what you pick.