Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t= 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.6 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate.Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes.(A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition.dA/dt= ?A(0) = ?(B) Solve the IVP to find the amount of CO in the room at any time t > 0.A(t) = ?(C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached.t= ? minutes