Example 2: minimise Z = 200x + 500yउदाहरण 2: Z = 200x + 500y का न्यूनतमीकरणExample 2: Z = 200x + 500y minimise kijiye

NCERT Fig 12.3 · Class 12 Maths · Chapter 12 · interactive diagram

Parts and what they mean

• Feasible region ABC (bounded) (सुसंगत क्षेत्र ABC (परिबद्ध)) — The common region of ALL the constraints (including x ≥ 0, y ≥ 0). Every point in it, or on its boundary, is a feasible solution.
• Line x + 2y = 10 (रेखा x + 2y = 10) — Boundary of x + 2y ≥ 10; feasible side is AWAY from O (0 ≥ 10 is false).
• Line 3x + 4y = 24 (रेखा 3x + 4y = 24) — Boundary of 3x + 4y ≤ 24; feasible side is towards O.
• Corner A(0, 5) (कोनीय बिंदु A(0, 5)) — Z = 200(0) + 500(5) = 2500.
• Corner B(4, 3) — minimum (कोनीय बिंदु B(4, 3) — न्यूनतम) — Solve x + 2y = 10 and 3x + 4y = 24: x = 4, y = 3. Z = 800 + 1500 = 2300, the smallest.
• Corner C(0, 6) (कोनीय बिंदु C(0, 6)) — Z = 500 × 6 = 3000.
• x-axis (x-अक्ष) — The horizontal number line; inputs x are read here.
• y-axis (y-अक्ष) — The vertical number line; outputs y = f(x) are read here.
• Origin O(0, 0) (मूल बिंदु O(0, 0)) — Where the two axes cross.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 12.3. Report a mistake