Answer :

altavistard
Notice that the given info consists of boundary lines for an area in the xy plane.  We are interested ONLY in values of x and y that are 0 or greater (positive).  Graph 5x + 3y [tex] \leq [/tex] 37 and 3x + 5y less than or equal to 35.

Find the points of intersection of all four straight lines (including the x- and y-axes).  There will be 4 such points (incl. the origin).

Next, evaluate the objective function 2x + 14y at each of these 4 points.  Which of the four results is the largest?  the smallest?  Label them as 'maximum' and 'minimum.'

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