Find the maximums and minimums of z = 15 x + 14 y with constraints 0 ≤ x ≤ 10 , 0 ≤ y ≤ 5 , 3 x + 2 y ≥ 6I obviously can't take the partial derivatives of inequalities, so I'm at a loss here as my brain simply can't analyze/visualize 3 simultaneous constraints on the graph at once. What is the easiest/most efficient way of analyzing this system?

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Find the maximums and minimums of   z  =  15  x  +  14  y with constraints   0  ≤  x  ≤  10  ,  0  ≤  y  ≤  5  ,  3  x  +  2  y  ≥  6I obviously can&#039;t take the partial derivatives of inequalities, so I&#039;m at a loss here as my brain simply can&#039;t analyze/visualize 3 simultaneous constraints on the graph at once. What is the easiest/most efficient way of analyzing this system?

a1p2ung1ls6t7 · Accepted Answer

This is a linear programming problem.Step 1: graph the constraints.Step 2: find any corner points.Step 3: evaluate z at the corners.Step 4: pick winners and losers.Alternatively, parameterize the boundary and apply the closed interval method on each boundary segment. But, given that the objective function is linear this hardly seems necessary.

Find the maximums and minimums of z = 15 x + 14 y with constraints 0 ≤<!

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