3 Suppose, in the Dakota problem, a desk still sells for

$60 but now uses 8 board ft of lumber, 4 finishing hours, and 15 carpentry hours. Determine whether the current basis remains optimal. What is wrong with the following reasoning?

The change in the column for desks leaves the second and third dual constraints unchanged and changes the first to

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8y+4y2+15y3 60 Because y = 0, y2 = 10, y = 10 satisfies the new dual constraint, the current basis remains optimal.