Best Ink Printing Co. received an order to print a minimum of 50,000 tickets for a concert. They have three printing machines available to meet the order they received. The set-up cost of these machines and the unit cost/ticket printed using each machine along with their maximum production are provided in the table below: Machine A 976400 B C Cost per unit $18 $21 $24 Maximum Production 30,000 25,000 30,000 Formulate an all-integer linear programming model to find the required number of tickets produced by each machine in order to minimize the production cost. What is the optimal solution for the number of tickets produced by machine B?

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