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Given the linear programming; Minimize C = P 3x + P 12y Subject to: 5x + y s 32 constraint 1 x + 3y '2 12 constraint 2 x 2 0, y 2 0 The requirements of constraints 1 is; * (1 Point) O at least 12 units 0 at most 12 units 0 at least 32 units 0 at most 32 units The available time allocated in the sewing department for every production period. * (1 Point) NYKE Company produces sports bags and sports jackets. The manufacturer has 30 hours available time in the cutting department and 24 hours of production time in the sewing department. Each sports bag needs 2 hours of cutting time and 1 hour of sewing time. Each sport jacket needs 1 hour of cutting time and 2 hours of sewing time. The profit contribution for each sports bag is $60 and $50 for each sports jacket. Department Sports bag (x) Sport jacket (y) Available Cutting 2 1 30 Sewing 1 2 24 Profit / unit $60 $50 12 hours O 20 hours O 24 hours 30 hoursGiven the linear programming model; Maximize Z = P 200x + P 250y Subject to: 3x + 4y 5 48 2x + 3y 5 60 x 2 0, y 2 0 The prot contribution per unit of product x Is: (1 Point)