Problem 9 [15pt]. Consider the following problem. Minimize Z=2x1+3x2+2x3 subject to x1+4x2+2x33x1+2x286 and x10,x20,x30. Let x4 and x6 be the surplus variables for the first and second constraints, respectively. Let x5 and x7 be the corresponding artificial variables. After you make the adjustments described in Sec. 4.6 for this model form when using the Big M method, the initial simplex tableau ready to apply the simplex method is as follows: After you apply the simplex method, a portion of the final simplex tableau is as follows: Based on the above tableaux, use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations. Problem 9 [15pt]. Consider the following problem. Minimize Z=2x1+3x2+2x3 subject to x1+4x2+2x33x1+2x286 and x10,x20,x30. Let x4 and x6 be the surplus variables for the first and second constraints, respectively. Let x5 and x7 be the corresponding artificial variables. After you make the adjustments described in Sec. 4.6 for this model form when using the Big M method, the initial simplex tableau ready to apply the simplex method is as follows: After you apply the simplex method, a portion of the final simplex tableau is as follows: Based on the above tableaux, use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations