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Home Questions 8F42DNK8F4
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

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.

        Column - A             Column - B
Maximum value of z                350

Options:

The quantity in column A is greater

The quantity in column B is greater

The two quantities are equal

The quantity in column B is greater than twice the quantity in column A

Correct Answer:

The quantity in column B is greater

Explanation:

objective function z = 4x + 3y

checking values at corner points.

Corner points 

 Value

(x, y)

 Z(x, y) = 4x + 3y

(0, 0)

 Z(0, 0) = 0 + 0 = 0

(0, 40)

 Z(0, 40) = 0 + 3 × 40 = 120

(20, 40)

 Z(20, 40) = 4 × 20 + 3 × 40 = 80 + 120 = 200 

(60, 20)

 Z(60, 20) = 4 × 60 + 3 × 20 = 240 + 60 = 300 

(60, 0)

 Z(60, 0) = 4 × 60 + 0 = 240 


Zmax = 300

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