Answer:
100 units
Step-by-step explanation:
We want to find x when ...
C = 11030
x² +10x +30 = 11030 . . . . fill in for C
x² +10x = 11000 . . . . . . . . subtract 30
x² +10x +25 = 11025 . . . . add 25 to complete the square
(x +5)² = 105² . . . . . write as squares
x +5 = ±105 . . . . . . . take the square root
x = -5 ±105 = {-110, 100}
The number of units manufactured at a cost of $11,030 is 100.
