$7$The feasible region of a linear programming problem is shown in the figure below : 2023_CBSE_Mathematics_Set_Region3_Subset_Set1_Q18___p6_11

2023_CBSE_Mathematics_Set_Region3_Subset_Set1_Q18___p6_11

Which of the following are the possible constraints? (a) $\displaystyle \mathrm{x}+2 \mathrm{y} \geq 4, \mathrm{x}+\mathrm{y} \leq 3, \mathrm{x} \geq 0, \mathrm{y} \geq 0$ (b) $\displaystyle \mathrm{x}+2 \mathrm{y} \leq 4, \mathrm{x}+\mathrm{y} \leq 3, \mathrm{x} \geq 0, \mathrm{y} \geq 0$ (c) $\displaystyle \mathrm{x}+2 \mathrm{y} \geq 4, \mathrm{x}+\mathrm{y} \geq 3, \mathrm{x} \geq 0, \mathrm{y} \geq 0$ (d) $\displaystyle \mathrm{x}+2 \mathrm{y} \geq 4, \mathrm{x}+\mathrm{y} \geq 3, \mathrm{x} \leq 0, \mathrm{y} \leq 0$ Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (a), (b), (c) and (d) as given below. (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true.

Mathematics · Linear Programming