y = x(5-x) = 5x - x^2
y' = 5-2x
y'=0 when x = 5/2
Find the maximum and minimum product of 2 numbers who sum is 5
2 answers
max product: (5/2)^2 = 25/4
min product: 0*5 = 0
assuming x >= 0
allowing negative values means there is no minimum product. For example, -100 * 105 = -10500.
min product: 0*5 = 0
assuming x >= 0
allowing negative values means there is no minimum product. For example, -100 * 105 = -10500.