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Parking Receipts Model

Variables

Let x1 represent the number of vehicles that use a season pass and let x2 represent the number of vehicles that do not.

Total Number of Vehicles

The total number of vehicles is given by x1 + x2.

Total Receipts

The receipts generated by the vehicles that use a season pass is 5x1 since each vehicle pays $5.00.

The receipts generated by the vehicles that do not use a season pass is 7.5x2 since each of these vehicles pays $7.50.

The total receipts for all vehicles is given by 5x1 + 7.5x2.

The Mathematical Model

Number of Vehicles Constraint: x1 +    x2 =  1,200
Total Receipts Constraint:    5x1 + 7.5x2 = $7,125
Non-negative Constraints:      x1, x2 ≥ 0