Question: A barangay captain is running for reelection. He has a fund of PhP 100,000 which he can use for his campaign. He wants to launch

A barangay captain is running for reelection. He

A barangay captain is running for reelection. He has a fund of PhP 100,000 which he can use for his campaign. He wants to launch his campaign to 5 zones of the barangay but due to limited fund he will only select which zone to launch his campaign to maximize the number of votes based on the population of the zone. The table below shows the voting population per zone and the corresponding fund needed to launch the campaign. The choice of the zone is to receive either all alloted funds or none. Required Funds (in ten Zone Population (in thousand hundreds) Pesos) 1 46 4 30 2 45 5 4 29 3 5 25 2 Start with Zone 5 as Stage 5. a) Define the Stage. b) What is the state? c) What is the alternative or action? d) What is the value of the decision variable if the zone is selected? 2 13 e) What is the range of values of the state? f) Starting with Zone 5 as Stage 5, what is the recursive equation? Max Z= g) What is the recursive equation in Stage 3 (Zone)? Max Z = h) What is the optimal maximum number of votes (in hundreds) the barangay captain is expected to get? i) How many zones will not receive funds? order. Zone , Zone j) How much fund (in ten thousands) remains not used in the campaign? Which zones are these? Put NA for excess cells, if any. Answer in sequential Zone 3

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