Question
Download Solution PDFWhat is the maximum value of z, if z = 10x + 6y subject to the constrains 3x + y ≤ 12, 2x + 5y ≤ 34, x ≥ 0, y ≥ 0 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe given two equations are: 3x + y ≤ 12 and 2x + 5y ≤ 34
For the given equations, the graph is as shown below.
From the above graph, the extreme points are: (4, 0), (0, 6.8) and (2, 6)
z = 10x + 6y
At (4, 0), z = 10(4) + 6(0) = 40
At (0, 6.8), f(X, Y) = 10(0) + 6(6.8) = 40.8
At (2, 6) = 10(2) + 6(6) = 56
The maximum value of z = 56
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