a) A Cinema sells tickets for $9.50 each, with children receiving a discount of $2.50. On one fine evening the theatre sold 475 tickets for the movie "Iron Man 3" and took in $3500 revenue. How many of each type of ticket were sold? (Children and "non-children") b) Minimize Z = 9x + 4y subject to the following constraints: 8x + 4y greaterthanorequalto 16: 5x + 3y lessthanorequalto 15: x greaterthanorequalto 0: y greaterthanorequalto 0. c) The price, p in dollars per pound of a certain commodity is given by: p(x) = 10000/4x + 100 - 4, where 0