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Question: Maximum value of \(4x + 5y\)subject to the constraints \(x + y \leq 20,x + 2y \leq 35,x - 3y \leq 1...

Maximum value of 4x+5y4x + 5ysubject to the constraints

x+y≤20,x+2y≤35,x−3y≤12x + y \leq 20,x + 2y \leq 35,x - 3y \leq 12 is

A

84

B

95

C

100

D

96

Answer

95

Explanation

Solution

Obviously, max. 4x+5y=954x + 5y = 95. It is at (5, 15).