Using simplex method, maximize \( P(x, y) = 10x + 3y \) subject to constraint \( 6x + 7y \le 42 \) , \( x + 3y \le 42 \) , \( x + 3y \le 9, x \ge 0,…

Using simplex method, maximize \( P(x, y) = 10x + 3y \) subject to constraint \( 6x + 7y \le 42 \)  ,\( x + 3y \le 42 \), \( x + 3y \le 9, x \ge 0, y \ge 0 \). 

OR 

Two forces A and B acting parallel to the length and base of an inclined plane respectively, would each of them singly support a weight 'R' on the plane, prove that \( \frac{1}{A^2} = \frac{1}{B^2} + \frac{1}{R^2} \)