thiruvananthapuram 9,160\nlucknow 5,276\nbhopal 8,268\nbhubaneswar 7,109\nnew delhi 6,303\nbengaluru…

Explanation:

Step1: Calculate original cost

Let's assume cost of Thiruvananthapuram is $9160$, cost of Mumbai (not given in table but we work with given cities in changes), cost of Bhubaneswar is $7109$ and cost of Bengaluru is $6735$. But since Mumbai cost is not given, we focus on the changes.

Step2: Analyze Option I

Swap Thiruvananthapuram for Jaipur (cost not given but we calculate based on new - combination) and drop Bengaluru. Let's assume new - combination cost. We don't know Jaipur cost but we calculate total cost of remaining cities in this option. Without Bengaluru and with new city instead of Thiruvananthapuram, assume new city cost is $x$. Total cost $C_1=x + 7109$ (Bhubaneswar cost).

Step3: Analyze Option II

Drop Bhubaneswar. Original cities were Thiruvananthapuram, Mumbai, Bhubaneswar, Bengaluru. New cost $C_2=9160 +$ (Mumbai cost) $+6735$. Since we don't know Mumbai cost, we can still consider that dropping Bhubaneswar ($7109$) will reduce the cost.

Step4: Analyze Option III

Swap Mumbai for New Delhi ($6303$), Thiruvananthapuram for Jaipur (assume cost $x$) and Bhubaneswar for Lucknow ($5276$). Total cost $C_3=x + 6303+5276+6735$. Let's assume best - case scenarios for cost of new cities (Jaipur). For Option I: If we assume reasonable cost for Jaipur, dropping Bengaluru ($6735$) will likely bring cost down. For Option II: Dropping Bhubaneswar ($7109$) will reduce the cost. For Option III: Swapping high - cost cities (assuming Mumbai is high - cost) with lower - cost cities (New Delhi, Lucknow) and another swap (Thiruvananthapuram for Jaipur) will likely bring the cost within budget.

Answer:

d. I, II, and III