CUET · MATHS · PYQ PAPER 2023
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
Column A : Column B :
Maximum of Z 325
- A The quantity of column B is greater than quantity of column A
- B The quantity of column A is greater than quantity of column B
- C Both quantities are equal
- D The relationship cannot be determined on the basis of the information supplied
Answer & Solution
Correct Answer
(B) The quantity of column A is greater than quantity of column B
Step-by-step Solution
Detailed explanation
\(Z(0, 0) = 4(0) + 3(0) = 0\) \(Z(0, 40) = 4(0) + 3(40) = 120\) \(Z(20, 40) = 4(20) + 3(40) = 80 + 120 = 200\) \(Z(60, 20) = 4(60) + 3(20) = 240 + 60 = 300\) \(Z(60, 0) = 4(60) + 3(0) = 240\) Maximum \(Z = 300\) Column A: 300 Column B: 325 300 < 325
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