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Home Questions 45KRPBS95Y
Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The solution of a LPP with basic feasible solutions (0, 0), (10, 0), (0, 20), (10, 15) and objective function Max Z = 2x + 3y is :

Options:

x = 0, y = 20, Max Z = 60

x = 10, y = 15, Max Z = 65

x = 10, y = 20, Max Z = 70

x = 15, y = 10, Max Z = 60

Correct Answer:

x = 10, y = 15, Max Z = 65

Explanation:
 Corner points         Objective function
 (x, y)    Z(x, y) = 2x + 3y
 (0, 0)    Z(0, 0) = 0 + 0 = 0
 (10, 0)    Z(10, 0) = 20 + 0 = 20
 (0, 20)    Z(0, 20) = 0 + 60 = 60
 (10, 15)     Z(10, 15) = 20 + 45 = 65 (Zmax) 

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