5 A company is building a rectangular parking lot for a new building structure. The company wants to maximize the number of cars that fit in the parking lot by maximizing the area of the parking lot. The company has a 3000-meter perimeter to work with when building the parking lot. Complete the table to show the length of the parking lot for each given width. Width (meters) 250 500 750 1000 1250 1500 Length (meters) Define the function /(w) to represent the length of the parking lot as a function of the width. © Define the function A(w) to represent the area of the parking lot as a function of the width. d Determine the maximum area of the parking lot as well as the length and width that will result in the maximum area.

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