Question

The cost see for manufacturing X units of a certain product is given by C equals X squared -10 X +35 find the number of units manufactured at a cost of 11,035

Answer 1

9514 1404 393

Answer:

110 units

Explanation:

Fill in the given value and solve for x.

c = x^2 -10x +35

11035 = x^2 -10x +35

11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square

x = 5 +√11025 = 5 +105 . . . . find the positive solution

x = 110

The number of units manufactured at a cost of 11,035 is 110 units.