Suppose that a room containing 1000 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time f-0, cigarette smoke containing 4K CO is introduced into the room at a rate of 0.2 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 & minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA 0.008 o dt A(0) 0 0.24 1000 (B) Solve the IVP to find the amount of CD 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 mirates