MHT CET · Maths · Linear Programming
The L.P.P. , minimize \(z=30 x+20 y, \quad x+y \leqslant 8, \quad x+2 y \geqslant 4, \quad 6 x+4 y \geqslant 12\), \(x \geqslant 0, y \geqslant 0\) has
- A a unique solution
- B infinitely many solutions
- C minimum value at \((4,0)\)
- D minimum value at \((8,0)\)
Answer & Solution
Correct Answer
(B) infinitely many solutions
Step-by-step Solution
Detailed explanation
Vertices of the feasible region: \((4,0)\), \((8,0)\), \((0,8)\), \((0,3)\), \((1, 1.5)\)
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