MHT CET 2025 Mathematics question
Not in JEE syllabus
If the difference between the maximum and minimum values of the objective function z = 7x - 8y subject to the constraints x + y 20, y 5, x,y 0 is 5k + 200, then the value of k is
Answer: (C)
Solution
The feasible region is bounded by , and , a triangle with corner points , and . Evaluate at each: ; ; . So the maximum is and the minimum is (an LPP
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