wo breakfast food manufacturers ABC and XYZ are competing for an incre

Question

wo breakfast food manufacturers ABC and XYZ are competing for an increased market share. The pay-off matrix, shown in the following table, describes the increase in market share for ABC and decrease in market share of XYZ. Determine optimal strategies for both the manufacturers and the value of the game.

Image ignouassignments-ignouacademy-com--p-manufacturers-55258

b) Find all the basic feasible solutions of the following system of linear equations:

$$2x_1 + x_2 - x_3 + 2x_4 = 2$ $
$$3x_1 + 2x_2 + x_3 + 4x_4 = 3$ $
$$x_1, x_2, x_3, x_4 \ge 0$ $
Check if any of them is degenerate solution. Justify your answer.

09 Jan 2026

Answer :

Word Count : 259

(a) Game theory problem Payoff matrix (gain to ABC, loss to XYZ): [ \begin{array}{c|rrrr} & B_1 & B_2 & B_3 & B_4\ \hline A_1 & 2 & -2 & 4 & 1\ A_2 & 6 & -5 & 12 & 3\ A_3 & -3 & -2 & 0 & 6\ A_4 & 2 & -2 & 7 & 1 \end{array} ] Dominance reductions * ____ ________ _________ __________ __________ _________.
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