The objective of the proposed model is to maximise the overall revenue from all room types by introducing a dynamic price strategy that adjusts prices in response to the fluctuation demand through the year.
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Get it written →The objective of the proposed model is to maximise the overall revenue from all room types by introducing a dynamic price strategy that adjusts prices in response to the fluctuation demand through the year. The hotel’s main goal is to set the optimal prices for first-class suites, junior suites and deluxe rooms based on the anticipated demand. Step 1: Determine decision variables Let p1H = price per night for first class suites under High demand Let p1m = price per night for first class suites under Medium demand Let p1L = price per night for first class suites under Low demand Let p2H = price per night for junior suites under High demand Let p2M = price per night for junior suites under Medium demand Let p2L = price per night for junior suites under Low demand Let p3H = price per night for deluxe rooms under High demand Let p3M = price per night for deluxe rooms under Medium demand Let p3L = price per night for deluxe rooms under Low demand Let q1H = Demand per night for first class suites under High demand Let q1M = Demand per night for first class suites under Medium demand Let q1L = Demand per night for first class suites under Low demand Let q2H = Demand per night for junior suites under High demand Let q2M = Demand per night for junior suites under Medium demand Let q2L = Demand per night for junior suites under Low demand Let q3H = Demand per night for junior suites under High demand Let q3M = Demand per night for junior suites under Medium demand Let q3L = Demand per night for junior suites under Low demand Step 2: Identify the relationship between demand and price q = demand p = price a,b = coefficients q = a + ( b * p) Step 3: Set the objective function Max Z = 0.4 * (p1H * q1H + p2H * q2H + p3H * q3H) + 0.3 * (p1m * q1M + p2M * q2M + p3M * q3M) + 0.3 * (p1L * q1L + p2L * q2L + p3L * q3L) Step 4: Set the Constraints High demand Constraint: q1H = 35 – 0.005 * p1H q2H = 90 – 0.03 * p2H q3H = 240 – 0.06 * p3H Medium demand Constraint: q1M = 16 – 0.003 * p1m q2M = 45 – 0.02 * p2M q3M = 200 – 0.05 * p3M Low demand Constraint: q1L = 8 – 0.002 * p1L q2L = 30 – 0.02 * p2L q3L = 180 – 0.08 * p3L Capacity Constraint: Let F be the optimal number of first class suites Let J be the optimal number of junior suites Let D be the optimal number of deluxe rooms q1H
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