Question

Use the simplex method to solve the following maximum problem: Maximize P= 3.61 +2:02 Subject to the constraints: 221 +22 18 2x1 +3.02 < 42 3x1 +2224 210 x2 > 0 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5, -4/7, and so on. C1 = C2 = P=

Answer 1

manimize Ps 3x, + 242 S.C 224,+ X2 E 18 2xit 3 X₂ 542 3x, + X2 524 E X., x 20 1 Convert the in ecualities slack Variath by introducing Manimite Pa 3x + 2X2 tos, tos, tosz s.c = 18 2x + x₂ +5, - = 42 24,+ 3x₂ + S 34,+ X₂ + S3 24 1 & X., X299 o Here Si, So S3 are slack variably CS Scanned with CamScanner

Simplen table 2 B.V Cg х B ti X₂ S, S₂ 53 mor si 18 2 19 = 9 S2 42 2 3 42 -21 S3 24 3 o 24 3 :8 p=0 -3 -2 si 2 3 0 -2/3 6 S210 26 0 73 | -23/78/7 Xi13 8 o 13 o 1/24 P=24 ☺ X₂/2 3 O 2 a 920 120 -7 کے Xi13 61 0 -1 -10 - 6 P=30 o o -| X2/2 12 10 (-1/2) O S30 (12) (1) 3 0 - X 3 3 (7) 0 (39 CW 0 Z = 33 0 0 0 (/N) 0 CS Scanned with CamScanner

Dj' are zo Thef Therefore, 33 manimize P AL X,=3 X2=12 cs Scanned with CamScanner

Maximize P = 33 at X_{​​​​​​1} =3 and X_{​​​​​​2} =12