Linear Programming — Class 12 Maths Solution

exemplar objective MCQ NCERT,Exemp,Q.26,Page,255
Question

. The corner points of the feasible region determined by the system of linear constraints are (0,0),(0,40),(20,40),(60,20),(60,0). The objective function is $Z = 4x + 3y$. Compare the quantity in column $A$ and column $B$.

figure

  • (a) The quantity in column ${\rm{A}}$ is greater
  • (b) The quantity in column ${\rm{B}}$ is greater ✓ Correct
  • (c) The two quantities are equal
  • (d) The relationship cannot be determined on the basis of the information supplied.
Step-by-step Solution
Correct answer: option (b)

figure

Hence, maximum value of $Z = 300 < 325$

So, the quantity in column ${\rm{B}}$ is greater.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Linear Programming. Curated by Sachin Sharma. Free for all students.