. (a) Use the simplex method to maximize x + y +4z subject to the constraints x+2y+3z50, 2x y+z 10, x 0, y0, z 0. How would your answer change if the 50 in the question were replaced by 55? (b) Write down a starting tableau for the problem of minimizing 8x+5y to the constraints z subjec x-y-z4, 3x+15, x 0, y 0, z 0. Identify the first pivot element, but do not go further. (c) Determine the optimal strategy for R, for the game whose payoff matrix is 5 2 -2 Which player does the game favour, and by how much?