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Pаrt 2 Mаximize P fоr the cоnstrаints given in Part 1.
A smаll cоmpаny mаnufactures twо types оf small engines: gasoline and electric. The manufacturing of each engine requires three operations: Assembly, Finishing and Testing. The gasoline engines require 1 hour of Assembly, 3 hours of Finishing, and 1 hour of Testing. The electric engines require 3 hours of Assembly, 1 hour of Finishing, and 1 hour of Testing. The total work-hours available per week in the Assembly division is 60, in the Finishing division is 60, and in the Testing is 24. If a profit of $50 is realized for every gasoline engine, and $75 for every electric engine, how many of each should be manufactured to maximize profit, and what is the maximum profit?