[simplex algorithm] this question requires to use matrix with slackness, I've already build the matrix but I dont know how to solve it. In this image 2, I used excel to figure out the solution, but how can I know that x2 is 0? x3x11.333333 7.666667x2profit0 166.6667 [Question 2](a) The linear programming model below was formulated to maximize a company's profit subject tothe constraints on two resources:220x₁10x₂= 10x3 =O40x. + 40x₂ + (0x3 + S₁ = 32040 x₁ + 20x₂ + 40x³ + Sz360SzMaximize z = 20x₁ + 10x₂ + 10x3Subject to40x1 + 40x₂+ 10x3 ≤ 320,40x1 + 20x₂ + 40x3 ≤ 360,X₁ ≥ 0, i = 1, 2, 3.Z10X,-204040x z-1040x3-10S,710 120 40RMS_O320360Solve the problem by using the Simplex algorithm. What are the values of the variables and theobjective function in the solution you found?

Answered: The linear programming model below was…

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