Step 1: Understanding the Concept:
Cloning vector insert capacities and structural stability: Plasmids ($< 10 ext{ kb}$) $<$ $\lambda$ Phage ($< 25 ext{ kb}$) $<$ Cosmids ($35-45 ext{ kb}$) $<$ Fosmids ($40 ext{ kb}$) $<$ BACs ($100-300 ext{ kb}$) $<$ YACs ($> 1 ext{ Mb}$).
Step 2: Detailed Explanation:
Comparing vector cloning capacities for large genomic inserts:
1. Phage $\lambda$ Vectors: Maximum insert capacity $\approx 15 - 25\text{ kb}$.
2. Cosmid Vectors: Insert capacity limited to $\approx 35 - 45\text{ kb}$.
3. Bacterial Artificial Chromosomes (BACs): Based on the stable low-copy E. coli F-factor (fertility plasmid) replication origin (oriS, repE, parA, parB). BACs stably maintain large genomic inserts of 100 to 300 kb (ideal for 140 kb) with high structural stability and minimal chimerism/recombination.
4. Phagemids: Small plasmid/phage hybrids for single-stranded DNA ($< 10\text{ kb}$).
Step 3: Final Answer:
Therefore, the preferred vector is Bacterial Artificial Chromosome (BAC), matching option (C).