Shruti Ltd. has developed a sales forecasting function for its products and the products of its competitors, Purnima Ltd. There are four strategies S1, S2, S3 and S4 available to Shruti Ltd. and three strategies P1, P2 and P3 to Purnima Ltd. The pay-offs corresponding to all the twelve combinations of the strategies are given below. From the table we can see that, for example, if strategy S1 is employed by Shruti Ltd. and strategy P1 by Purnima Ltd., then there shall be a gain of Rs 30,000 in quarterly sales to the former.

Other entries can be similarly interpreted.

Considering this information, state what would be the optimal strategy for Shruti Ltd.? Purnima Ltd.? What is the value of the game? Is the game fair?

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Purnima Ltd.'s Strategy P P2 P3 Shruti's Strategy S 18,000 55 55 55 55 S 30,000 -21,000 1,000 14,000 12,000 S3 -6,000 28,000 4,000 S4 18,000 6,000 2,000