In chemical engineering, extraction processes are commonly used. The figure shows an extraction unit of 3 stages. A stream with flow rate F1 containing a mass fraction of y0 of a chemical enters the equipment from bottom. At the same time, a solvent carrying a mass fraction x4 of the same chemical enters from top with a flow rate of F2. For each separation stage i, a mass balance is written as F1yi1+F2xi+1=F1yi+F2xi At each stage i, an equilibrium is established between yi and xi as K=yixi Combining these two equations for the given extraction unit of 3 stages yields, y0(1+F1F2K)y1+(F1F2K)y2=0y1(1+F1F2K)y2+(F1F2K)y3=0y2(1+F1F2K)y3+(F1F2K)y4=0 Where y0=0.1,x4=0,Fl=400kg/h, and F2=800kg/h. Please take K as any integer between 1-5. Write the linear equations in matrix form. Use Jacobi iteration method to calculate the mass fractions at each stage, y1,y2,y3 and y4. Please do your calculations by hand. Initial fractions can be estimated as 0 . Relative error can be taken as 10%. Solve part (b) by using MATLAB. Relative error can be taken as 1%