A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below: Which of the following is a constraint for the customer (campaign headquarters)? A) 2X₁₁ + 9X₂₁ + X₃₁ = 20 B) 5X₁₂ + 3X₂₂ + 8X₃₂ = 70 C) X₁₁ + X₁₂ + X₁₃ = 50 D) X₁₂ + X₂₂ + X₃₂ = 70 E) all of the choices

Question

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The constraint for the customer (campaign headquarters) is the demand for the total number of cartons they need, which is represented by the sum of the number of cartons received from each producer. This is shown in option D: X₁₂ + X₂₂ + X₃₂ = 70.

A Campaign Manager for a Political Candidate Must Arrange the Shipment