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Question

Mathematics for Economy Question on Linear Programming Problem

The optimal value of the linear programming problem
Maximise z=2x+3yz = 2x + 3y
subject to
5x+4y20,5x + 4y ≤ 20,
3𝑥+5𝑦15,3𝑥 + 5𝑦 ≤ 15,
2𝑥+𝑦4,2𝑥 + 𝑦 ≤ 4,
𝑥,𝑦0,𝑥, 𝑦 ≥ 0,
is

A

4

B

64/ 7

C

9

D

72/ 7

Answer

64/ 7

Explanation

Solution

The correct answer is (B): 64/ 7