Question:
The minimum value of the function z = 4x + 3y subject to the constraints:
3x + 2y ≥ 160, 5x + 2y ≥ 200, x + 2y ≥ 80, x ≥ 0, y ≥ 0.
is:
The minimum value of the function z = 4x + 3y subject to the constraints:
3x + 2y ≥ 160, 5x + 2y ≥ 200, x + 2y ≥ 80, x ≥ 0, y ≥ 0.
is:
3x + 2y ≥ 160, 5x + 2y ≥ 200, x + 2y ≥ 80, x ≥ 0, y ≥ 0.
is:
Show Hint
In linear programming, extrema occur at corner points.
Updated On: Mar 17, 2026
- 320
- 300
- 220
- 200
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The Correct Option is C
Solution and Explanation
The feasible region is a convex polygon.
Evaluating z=4x+3y at all corner points of the feasible region, the minimum value obtained is:
zᵢₙ=220
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