KCET · Maths · Linear Programming
The corner points of the feasible region of an LPP are \((0,2),(3,0),(6,0),(6,8)\) and \((0,5)\), then the minimum value of \(z=4 x+6 y\) occurs at
- A Finite number of points
- B Infinite number of points
- C Only one point
- D Only two points
Answer & Solution
Correct Answer
(D) Only two points
Step-by-step Solution
Detailed explanation
Given, the corner points of the feasible region of an LPP are \((0,2),(3,0),(6,0),(6,8)\) and \((0,5)\)
Minimum value of \(z\) occurs at \((0,2)\) and \((3,0)\).
Hence, minimum value of \(z\) lies at any point on the line joining two points \((0,2)\) and \((3,0)\).
Minimum value of \(z\) occurs at \((0,2)\) and \((3,0)\).
Hence, minimum value of \(z\) lies at any point on the line joining two points \((0,2)\) and \((3,0)\).
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