In a fixed charge integer linear model where there are variable profits of $45 and $80 for producing products 1 and 2, and a fixed charge of $1000 if any of product 2 is produced, the objective function can be modeled by MAX 45X₁ + 80X₂ - 1000Y₂, where Y₂ is a binary variable.

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This is the correct formulation for the given scenario. The variable Y₂ is the binary variable that indicates whether or not product 2 is produced, and if it is, incurs the fixed charge of $1000. The objective function maximizes the profits from producing products 1 and 2, while taking into account the fixed cost of producing product 2.

In a Fixed Charge Integer Linear Model Where There Are