9514 1404 393
Answer:
97
Explanation:
We want to find x when C = 23.
23 = 0.005x^2 -0.35x +10
2600 = x^2 -70x . . . . . . subtract 10, multiply by 200
2600 +35^2 = (x -35)^2 . . . . complete the square
61.847 +35 = x . . . . . . . square root, add 35 (use the positive result only)
x ≈ 97 . . . . rounded to integer
The cost is $23 when 97 coolers are produced.