Assuming you just opened a vehicle (cars and trucks) parking company in New York City. The total parking area for cars and trucks is 1400 ft2. It is needed 14 ft2 of space for each car and 35 ft2 of space for each truck to park in your parking area. New York City requires that the total parking area needs to be designed for at least 55 vehicles and at least 20 trucks. You charge $50 for parking each car and $75 for parking each truck daily. You also decide that the ratio of total vehicles to total trucks should be at least 3. Formulate this problem as a Linear Programming model to maximize your revenue. (Just set up the model, no solving).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assuming you just opened a vehicle (cars and trucks) parking company in New York City. The total parking area for cars and trucks is 1400 ft2. It is needed 14 ft2 of space for each car and 35 ft2 of space for each truck to park in your parking area. New York City requires that the total parking area needs to be designed for at least 55 vehicles and at least 20 trucks. You charge $50 for parking each car and $75 for parking each truck daily. You also decide that the ratio of total vehicles to total trucks should be at least 3.

Formulate this problem as a Linear Programming model to maximize your revenue. (Just set up the model, no solving).

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