A company can manufacture x x hundred items for a total cost of c = 500 + 1100 x − 100 x 2 c=500+1100x-100x2. find x x if the to

Question

4 years ago

8

tal cost is $ 2 , 300 $2,300.

1 answer:

adelina 88 [10] · Answer 1 · 2022-02-18T05:15:56+03:00

We are given the equation:

c = 500 + 1100 x – 100 x^2

Solve for x given the value of c = 2300

Rearrange and substitute:

- 100 x^2 + 1100 x + 500 = 2300

Divide everything by -100:

x^2 – 11 x – 5 = - 23

x^2 – 11 x = - 18

Completing the square:

(x – 11/2)^2 = - 18 + (11/2)^2

x – 11/2 = ±3.5

x = 2, 9