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Class 12 Linear Programming · Mcq Single Correct1 Marksmultiple_optima

Class 12 Maths · Linear Programming · Mcq Single Correct #18

For a,b>0, vertices P(0,5),Q(3,5),R(5,0),S(4,1), suppose Z=ax+2by has equal values at Q and S. Which necessary relation holds?

✅ Step-by-Step Solution

Final Answer: Option (D): a−8b=0
  1. 3a+10b=4a+2b gives a=8b. However then Z(R)=40b exceeds Z(Q)=34b, so Q and S cannot both be maxima on the printed polygon.

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