Factory motor assembles 2 types of motors, small and large. Cost of material is $15 for small motor and $30 for large. Two hours of labor are needed to assemble small motor and 6 hours for large motor. Cost of labor is $8/hr. Owner of the factory can allocate at most $1500/day for material and $1920/day for labor. Find the largest profit that owner can make if small motors are sold for $50 each and large motors for $100. Assume every motor produced is sold.

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