1.

(a)Maximise z = 4x + y subject to constraints : x + y le 50 3x + y le90 x ge0 y ge 0 by graphical method. (b) Find the value of K, if f(x) = {{:(Kx + 1, "if"x le pi),(cos x, "if " x gt pi):} is continuous at x = pi.

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ANSWER :MAXIMUM of Z = 120 at (30, 0)


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