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The corner points of the feasible region...

The corner points of the feasible region determined by the system of linear constraints are as shown below:

Let `Z=px +qy ` where ` p,q gt 0` be the objective function. Find the condition on p and q so that the maximum value of Z occurs at`B ( 4,10 ) and C (6,8 )`Also mention the number of optimal solutions in this case.

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