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1. A certain paint can be produced using four different production processes. The processing cost of each liter in any of the four available processes,

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1. A certain paint can be produced using four different production processes. The processing cost of each liter in any of the four available processes, the maximum capacity of each process, and the setup costs are given in below table. Assume that a daily demand of 45,000 L must be fulfilled. At least two processes must beuse for paint production. Process 1 and 3 must be taken simultaneously (at the same time) or not taken at all. Formulate the problem as an integer programmingmodel to determine the daily production schedule in order to minimize total costs. Process Setup Processing Capacity Cost ($) Cost ($/L) (L) P1 500 0.6 20000 P2 600 0.5 17000 P3 1000 0.3 37000 P4 600 0.2 33000 1. A certain paint can be produced using four different production processes. The processing cost of each liter in any of the four available processes, the maximum capacity of each process, and the setup costs are given in below table. Assume that a daily demand of 45,000 L must be fulfilled. At least two processes must beuse for paint production. Process 1 and 3 must be taken simultaneously (at the same time) or not taken at all. Formulate the problem as an integer programmingmodel to determine the daily production schedule in order to minimize total costs. Process Setup Processing Capacity Cost ($) Cost ($/L) (L) P1 500 0.6 20000 P2 600 0.5 17000 P3 1000 0.3 37000 P4 600 0.2 33000

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