тах 2х, + Зх2 — Хз s.t X1 + 2x, + x3 = 5 (1) -X1 + x2 + x3 >1 (2) X1 + x2 + 2x3

Extracted text: тах 2х, + Зх2 — Хз s.t X1 + 2x, + x3 = 5 (1) -X1 + x2 + x3 >1 (2) X1 + x2 + 2x3 <8 (3)="" x1="" 2="" 0="" (4)="" x2="" 2="" 0="" (5)="" a.="" which="" constraints="" are="" active="" at="" the="" point="" (2,="" 0,="" 3)?="" b.="" is="" the="" direction="" d="(-1," 1,="" -1)="" a="" feasible="" direction="" at="" (2,="" 0,="" 3)?="" c.="" is="" the="" direction="" d="(-1," 1,="" -1)="" an="" improving="" direction="" at="" (2,="" 0,="" 3)?="" d.="" could="" the="" point="" (2,="" 0,="" 3)="" be="" an="" optimal="" solution="" to="" the="" linear="" program?="" e.="" is="" the="" point="" (2,="" 0,="" 3)="" a="" basic="" solution?="" justify="" your="" answer.="" f.="" is="" the="" point="" (2,="" 0,="" 3)="" an="" extreme="" point?="" justify="" your="" answer.="" g.="" is="" the="" point="" (2,="" 0,="" 3)="">