Apple Company creates new plan to decide the quantity of mobile phone to be produced. There are 3 Phone Types: IPhone 6, IPhone 5 and IPhone 7. Knowing that the profit per unit of each IPhone 6 is $80, IPhone 5 : $60, and IPhone 7 : $20.

Market research has indicated that the maximum demand is 200 for IPhone 5. IPhone 6 has to be more than 30% of IPhone 7. The maximum production availability for all mobile phones is 720.The number of work hours available is at most 500 hours. An IPhone 6 requires 26 hours, an IPhone 5 requires 16 hours, and an IPhone 7 requires 18 hours.

Formulate this as a linear programming problem.