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 \(z=4 x+3 y\).
Compare the quantity in Column - A and Column - B.
| Column - A | Column - B |
| Maximum value of z | 350 |
- A The quantity in column A is greater
- B The quantity in column B is greater
- C The two quantities are equal
- D The quantity in column B is greater than twice the quantity in column A
Answer & Solution
Correct Answer
(B) The quantity in column B is greater
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 value of z (Column A) = \(300\) Column B = \(350\) \(300 The quantity in column B is greater
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