30. Firm Xis fighting for its life against the determination of firm Yto drive it out of the industry. FirmX has the choice of increasing price, leaving it unchanged, or lowering it. Firm Y has the same three options. Firm X's gross sales in the event of each of the pairs of choices are shown below:

Assuming firm X as the maximising one, formulate the problem as a linear programming problem.Find the value of the game by using any method.

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Firm Y's pricing strategy Increase Do not Reduce price change price Increase price 90 80 110 Firm X's pricing strategies Do not change 110 100 90 Reduce price 120 70 80