Let's say you want to buy a new mobile phone. You've narrowed it down to two phones, Phone A and Phone B. You're trying to decide based on three things: Price, Camera Quality, and Battery Life. You give each a score out of 10.

1. **Your Initial Plan:**
Phone A: Price (8/10), Camera (7/10), Battery (9/10) = Total Score 24
Phone B: Price (9/10), Camera (8/10), Battery (7/10) = Total Score 24
*Decision: It's a tie! You're stuck.*

---2. **What if Price is more important? (Sensitivity Check 1)**
You realise price is super important to you, so you decide to double the 'Price' score for both phones.
Phone A: Price (8*2=16), Camera (7), Battery (9) = Total Score 32
Phone B: Price (9*2=18), Camera (8), Battery (7) = Total Score 33
*Decision: Phone B wins! Your decision changed.*

---3. **What if Camera is more important? (Sensitivity Check 2)**
Instead, you think camera quality is the most crucial, so you double the 'Camera' score.
Phone A: Price (8), Camera (7*2=14), Battery (9) = Total Score 31
Phone B: Price (9), Camera (8*2=16), Battery (7) = Total Score 32
*Decision: Phone B still wins, but by a smaller margin.*

---4. **What if Battery Life is most important? (Sensitivity Check 3)**
You double the 'Battery Life' score.
Phone A: Price (8), Camera (7), Battery (9*2=18) = Total Score 33
Phone B: Price (9), Camera (8), Battery (7*2=14) = Total Score 31
*Decision: Phone A wins! Your decision changed again.*

**Answer:** This analysis shows your phone decision is very sensitive to which feature you value most. If Price or Camera is most important, you pick Phone B. If Battery Life is most important, you pick Phone A. You now know what factor strongly influences your choice.