For the simplex tableau, do parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b) d. Determine if the answer in part (c) is optimal. M X₁ x2 12 3 1 4 -8 - 32 X3 1 0 0 O A. X3 X4 0 1 0 о В. Х1 0 Which variable should be brought into the solution? 15 12 0 OC. X4 OD. X2

19. Given the linear program Маx ЗА + 4B s.t. - 1A + 2B 0 a. Write the problem in standard form. b. Solve the problem using the graphical solution procedure. What are the values of the three slack variables at the optimal solution? с.

Mail 4. A colleague approaches you with the following simplex tableau: Mar 10, 2022, 8:58 AM Inbox 275 MI hospital all of Monday, Feb t Starred 0 72 0 60 1 4 Snoozed 5 1 0 0 Sent 1 1 1 1 0 22 3 -2 0 -4 1 140 r 19, 2022, 6:43 PM - Chat (a) tableau. Write down these variables, and give their values. Your colleague does not remember which variables to list in the first column of the ons! If we were to solve this problem using the simplex method, what would be the (b) next pivot element? Justify your answer No conversations Start a chat

What is the corresponding system of equations? Restate the problem in terms of equations by adding slack variables or subtracting surplus variables as necessary. Then write the initial simplex tableau. X1 + X2 + X3 S1 = 69 Маximize Z-2x1 + 3x2 — 4xз X1 + X2 + X3 S2 = 48 X1 + X2 X1 20, x2 2 0, X3 0, s, 20, s2 2 0, s3 20 subject to X1 +X2 + X3 <69 + S3 = 60 X1 +X2 + X3 248 X1 +X2 < 60 Write the initial simplex tableau, omitting the z column. Fill in the missing values. X1 20, x2 2 0, X3 20 X1 X2 X3 S1 S2 $3 1 1 1 O 69 1 1 1 0 48 1 1 0| 60 4