A toy manufacturer makes two types of dolls - 'Peggy' and 'Mona'. The dolls are processed on two machines A and B. Each "Peggy" doll requires 3 hours on machine A and 4 hours on machine B. Mona dolls require 1 hour and 4 hours on machine A and B respectively. 50 hours of machine time are available for machine A per week and 90 hours for machine B. The profit contribution per doll for Peggy is $6 and for Mona is $18.
Determine the optimal weekly production of the two dolls. Non integer solutions are not acceptable.