## Related questions with answers

Question

Find a value of a so that each objective function has maximum values at the indicated vertex, subject to the following constraints.

$\begin{aligned} &\begin{array}{l} {x \geq 0} \\ {y \geq 2} \end{array}\\ &x+y \leq 9\\ &-4 x+3 y \leq 6 \end{aligned}$

$f(x, y)=-4 x+a y,(3,6)$

Solution

VerifiedStep 1

1 of 7Plot the Inequalities and Identify the vertices of common region :

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