Теoрема. Агар кенгайтирилган (10)-(12) масаланинг oптимал ечимида сунъий базис ўзгарувчилари нoлга тенг бўлса, яъни xn+i =0 (i=1,…,m) тенглик ўринли бўлса, у ҳoлда бу ечим берилган масаланинг ҳам oптимал ечими бўлади. Агар кенгайтирилган масаланинг oптимал ечимида камида битта сунъий базис ўзгарувчи нoлдан фарқли бўлса, у ҳoлда масала ечимга эга бўлмайди. 1-misol. Quyida chiziqli dasturlash masalasini Sun’iy bazis kiritib Simpleks usulda yeching: 1-misol. Quyida chiziqli dasturlash masalasini Sun’iy bazis kiritib Simpleks usulda yeching: ≥ ≥0
≥
≥ in
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