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Class 12 Linear Programming · Assertion Reason1 Markscorner_point_optimization

Class 12 Maths · Linear Programming · Assertion Reason #22

Assertion (A): The maximum of x+3y on 2x+y≤20,x+2y≤20,x,y≥0 is 30. Reason (R): The unknown quantities chosen in an optimization model are decision variables.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. Vertices (0,0),(10,0),(20/3,20/3),(0,10) give 0,10,80/3,30. The definition does not explain the numerical maximum.

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