Let the number of Go-go scooter to be produced be x and that of Whip scooter y, then
Maximize: R = 3200x + 5000y
subject to:
x + y ≤ 120
3x + 6y ≤ 600
The corner points of the constraints are (0, 0), (0, 100), (40, 80), (120, 0)
For (0, 0): R = 0
For (0, 100): R = 3200(0) + 5000(100) = 500,000
For (40, 80): R = 3200(40) + 5000(80) = 528,000
For (120, 0): R = 3200(120) + 5000(0) = 384,000
Therefore, for maximum revenue, they should produce 40 Go-go scooters and 80 Whip scooters.
So the first thing that happens here is that the triangle is rotated 90 degrees clockwise. This can be seen because it is rotated, then you also notice that the triangle is reflected across the y axis.
I believe it is 2c^8, but I'm not sure.
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