Four Camps, Four Days, One Broken Vehicle
The Boko block office must hold four health-awareness camps, one on each of Monday to Thursday, in Nalani, Kalitapara, Borbari and Dekargaon. Four facts govern the calendar. (i) Dr Saikia is the only resource person for the Borbari and Nalani camps and is free only on Monday and Wednesday. (ii) The block vehicle is needed for the Kalitapara and Dekargaon camps and is available only on Tuesday and Thursday. (iii) Borbari's ASHA workers can attend only on Wednesday. (iv) Kalitapara's community hall is booked for the weekly market on Wednesday and is closed for repairs on Thursday. No village may be dropped, and two camps cannot share a day. On Tuesday morning the vehicle's starter motor fails, and the driver says Thursday is the earliest it can be repaired. The block development officer wants the schedule, the reasoning, and a fallback.
1. Construct the only valid Monday–Thursday schedule and set out the deduction step by step. Which stated constraint turns out to do no work?
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Lock the Saikia villages first. Borbari and Nalani both need Dr Saikia, who is free only Monday and Wednesday, so those two villages must occupy Monday and Wednesday in some order.
Borbari's ASHA workers can attend only on Wednesday, so Borbari = Wednesday and therefore Nalani = Monday.
The remaining days, Tuesday and Thursday, go to Kalitapara and Dekargaon. This matches the vehicle rule exactly: the vehicle is free only Tuesday and Thursday and is needed precisely by these two villages. Kalitapara's hall is closed on Thursday for repairs, so Kalitapara = Tuesday and Dekargaon = Thursday.
Final calendar: Monday Nalani, Tuesday Kalitapara, Wednesday Borbari, Thursday Dekargaon.
The market-day booking that closes Kalitapara's hall on Wednesday does no work at all: Wednesday is already taken by Borbari, and Kalitapara is pushed to Tuesday by the vehicle rule and the Thursday repair closure. Redundant constraints are harmless when everything runs, but they mislead during a crisis because they suggest slack that does not exist.
2. On Tuesday morning the vehicle fails and only Thursday is available for repair. Which camp is at risk, what are the realistic options, and which would you recommend?
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Only the Tuesday camp - Kalitapara - is at risk. Dekargaon already sits on Thursday and keeps the vehicle that day, and Dr Saikia's two camps (Monday, Wednesday) do not need the block vehicle.
Option 1: hire a private jeep or arrange a rented vehicle for Tuesday. The calendar survives intact; the only loss is money and the paperwork of a hire sanction.
Option 2: postpone Kalitapara. Thursday is impossible - the hall is closed for repairs and the single repaired vehicle is committed to Dekargaon. So postponement means slipping Kalitapara into the following week, or squeezing two camps onto one vehicle-day, which the one-camp-per-day rule forbids.
Recommend Option 1 within the camp budget. Postponement is not a free saving: ASHA workers, anganwadi staff and villagers have already been mobilised for Tuesday, and a cancelled camp damages attendance at the next one more than a jeep hire costs. If the hire exceeds the budget, the correct second choice is to postpone Kalitapara to the following week and record the slip formally, not to double-load Thursday.
3. A junior suggests solving the problem by 'getting the Kalitapara hall opened on Thursday'. What would you verify before acting on that suggestion, and what does it reveal about how the constraint list was built?
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Verify three things before touching the plan. First, whether the Thursday closure is a standing rule or a one-off booking - the difference decides whether the hall can be released at all, and only the hall authority, not a note on a file, can confirm it. Second, whether the school or community building could host the camp instead, since the constraint is about a venue rather than about the village. Third, whether a venue change would still leave the vehicle free for Dekargaon on the same day; releasing the hall does not create a second vehicle, so the bottleneck only moves.
The suggestion is a useful symptom rather than a solution. It shows that the constraint list mixes hard limits (one resource person, one vehicle, one camp per day) with soft or assumed ones (a hall booking treated as immovable). A well-built plan should label each line as fixed, negotiable, or assumed, so that when the starter motor fails the office argues about the right constraint instead of reopening every item on the page.