Two machines (I and II ) each produce two grades of plywood:Grade A and B. In 1 hour of production, machine I produces 20units of grade A and 10units of Grade B plywood. Also in 1hour of production, machine II produces 30 units of grade A and 40 units of grade B plywood. The machines are required to meet a production schedule of atleast 1400 units of grade A and 1200 units of grade B plywood. if the cost of operating machine I is $50 dollars per hour and $80 per hour for machine II.find the number of hours each machine needs to be operated to so as to minimize cost

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