I NeedASAP but correct. Solve all as they are parts. Suppose that a room containing 1400 cubic feet of air is originally freeof carbon monoxide (CO). Beginning at time t = 0, cigarette smokecontaining 4% CO is introduced into the room at a rate of 0.8 cubic feetper minute. The well-circulated smoke and air mixture is allowed toleave the room at the same rate.Let A(t) represent the amount of CO in the room (in cubic feet) after tminutes.(A) Write the DE model for the time rate of change of CO in the room.Also state the initial condition.dAdtA(0)(B) Solve the IVP to find the amount of CO in the room at any timet > 0.A(t) :(C) Extended exposure to a CO concentration as low as 0.00012 isharmful to the human body. Find the time at which this concentrationis reached.t =minutes

The complete silutions are given below

Suppose that a room containing 1400 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. 0, cigarette smoke 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