Question 3: pointsl suppose that you are studying the ventilation system (indoor air pollution) for a truck-stop restaurant located adjacent to a six-lane freeway. As shown in Fig, I below, the restaurant serving area consists of two square rooms for smokers and and one elongated room. Room Section 3 have of carbon monoxide from smokers and a grill, In addition, Room I and Room 2 gain carbon monoxide from air intakes that unfortunately positioned alongside the freeway. Note that the one-way are the two-way diffusive amows Fig. 1 represent volumetric airflows, whereas mass to the system, their mixing. Although the smoker and grill loads add carbon monoxide airflows are negligible. Steady-state mass balances can be written for each room. For example, for the smoking section (Room 1, the mass balance can be written as Eu(c, ct) smoke (load) (inflow) (outflow) (mixing) or as 230ci 30c, 400 after substituting the parameters. Similar mass balances can be written for other rooms/sections. Room 2 Section 4 (Kids' Sersonl Room 1 Section 3 Fig. 1 Overhead view of rooms in a restaurant to study indoor air pollution. (a) l6 pointsl Solve for the steady-state concentrations of carbon monoxide in each section using: Cramer's rule approach; (i) Gauss elimination with partial pivoting technique. You may utilize any mathematical software tools (e.g., MATLAB, Mathcad, etc.) to evaluate the determinant of a square matrix. (b) 15 pointsl Find the inverse of the system matrix via LUdecomposition technique and then use the matrix inverse to find the steady-state concentrations of carbon monoxide in each section. To avoid tedious calculations using a calculator, you are strongly recommended to clearly highlight the decomposition of the system matrix lAi [L][U]. In fact, you can easily deduce the Ll and [UM matrices from part (a). Next you may define an auxiliary matrix (B) In4x4 and then solve the equation [Dl [L] [Bl using a mathematical software package to find another auxiliary (c) matrix [Dl. Finally, the inverse matrix in the kids' section (Room 2) is due to pointsl what percent of the monoxide (i) the smokers; (ii the gri and (iii the air in the intake vents