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Use simplex method to solve maximize Z = 8x + 36y subject to constraints \( 2x + 6y \le 30, \quad x + 6y \le 18, \quad x, y \ge 0 \) OR a) A mass of…

Class 12 Mathematics · 2083 · Solved Question with Answer

Use simplex method to solve maximize Z = 8x + 36y subject to constraints

\( 2x + 6y \le 30, \quad x + 6y \le 18, \quad x, y \ge 0 \)

OR

a) A mass of \( 10\text{ kg} \) is acted on by a constant force which in \( 5\text{ seconds} \), produced a velocity of\( 20\text{m per second} \). Find the force if the mass was initially rest. 

b) A particle of mass \( 5\text{ kg} \) slides down ache inclination of the plane. If smooth inclined plane to the horizontal is \( 30^\circ \). Find the acceleration of the particle and reaction between the particle and the plane.

Solution

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