Question

In the simplex method, which of the following is considered a Standard Maximum problem? (Please select one answer). O Maximize: Z = 601 +8.02 Subject to the following constraints: 5x + 10x2 < 60 401 + 402 <-40 X>0; 202 > 0 Maximize: P = -1 +232 + 3003 Subject to the following constraints: 21 + 2.02 + 2003 < -20 5.01 2x2 + 4.03 <15 2.01 + 2x2 + 4.03 < 23 X>0 220; 203 > 0 Maximize: P=40:21 + 30.09 Subject to the following constraints: 21 +2.02 <16 21 +22 <9 3.C1 + 2x2 < 24 X>0; 22 > 0 O Maximize: Z=21 - 32 + 2x3 Subject to the following constraints: 201 + 22 <10 2 + 2.22 2:03 < 20 2] + 2.22 2:03 < 20 2 > 0 22 > 0 23 < 0 Maximize: P = a1 + 22 Subject to the following constraints: 21 +2.02 <6 2001 - 22-1 21 <0; 22 > 0

Answer 1

Answer: Option 3

Max P = 40x1 + 30x2

x1 + 2x2 <=16

x1 + x2 <=9

3x1 + 2x2 <=24

x1 >=0, x2>=0

Explanation:

All coefficient of objective function are positive

RHS value of constrains are positive for all constrains and on LHS side all coefficients are positive as well,

There is non-negative constrains.

All constrains are <= so there will be a bounded feasible region.

In all other options either coefficients of objective function in negative or RHS value of constrains are negative or LHS side coefficients are negative.