Answer: Yes, The FTC will approve the merger.
Step-by-step explanation:
The Herfindahl-Hirschman Index (HHI) is the common measure of market concentration used to determine market competitiveness. The HHI is calculated by the squaring of the market share of every firm competing in the market and then adding the resulting numbers
HHI (before the merger)
= 23² + 12² + 8² + 7² + 5² + 45 × 1²
= 529 + 144 + 64 + 49 + 25 + 45
= 856
HHI (after the merger) = (23 + 12)²
8² + 7² + 5² + 45 × 1² = 1408
Here, the market is less concentrated and the HHI is still below 1500 after the merger. Therefore, FTC will approve this merger. The answer is Yes.