If the cost. C, for manufacturing x units of a certain product is given by C= x² + 10x +30, find the number of units manufactured at a cost of $11,030.

  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.

The number of units manufactured at a cost of $11,030 was 100.

Step-by-step explanation:

I graphed the function on the graph below and found the point where C = 11,030. When C = 11,030, x is 100