Yawaka manufactures motorcycles and bicycles. To stay in​ business, the number of bicycles made cannot exceed three times the number of motorcycles. They lack the facilities to produce more than 100 ​motorcycles, or more than 210 ​bicycles, and the total production of motorcycles and bicycles cannot exceed 280. If Yawaka makes $1270 on each motorcycle and $210 on each​ bicycle, how many of each should be made to maximize​ profit?       Yawaka should make nothing motorcycles and nothing bicycles. ​(Simplify your​ answers.)

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