A factor produced two kinds of toys on three machines the first kind required (3) minutes on a machine (1) , (4) minutes on the machine (2) , (2) minute on the machine (3). While the other kind required (2) minutes on the machine (1), and (1) minute on the machine (2), (6) minutes on the machine (3), the available time for the machine (1) is (6) time unit, and the other hand production planning department determines the working time for the machine (2) by (8) time unit to complete the manufacturing successfully and the time for the machine (3) must be at least (12) time unit the manufacturing cost per unit is (3) diners for kind (1) and (2) diners for the kind (2) .formulate the mathematical models for the problem above?