Mike$$s Motors produces motorcycles at $3$ plants. At each plant, the labor, raw material,

and production costs $($not including wages$)$ required to build a motorcycle are as shown in

the table. Each plant has sufficient machine capacity to produce up to $750$ motorcycles per

week. Each of Mike$$s workers can work a total of $40$ hrs$/$week and are paid $$12\mathrm{.}50/$ hr$.$

Mike has $525$ workers and has $9,400$ units of raw material. Each week, at least $1,400$

motorcycles must be built.