Obtain the maximum value of 2x+3y in the solution region.
please show working
2006-11-28 00:59:23 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
i believe this is a continuation of the previous prob.
it can be solved graphically.
draw the lines x + y = 2, y - x = 2 and y = -2 on the cartesian plane. the feasible reason will be the area enclosed by the triangle formed by these 3 lines. the vertices being (0,2) , (4, -2) and (-4, -2). it can be proved that the max value of 2x + 3y will be one of these vertices.
substituting, u can see the maximum occurs at (0,2) whence 2x + 3y = 6
2006-11-28 02:26:45 · answer #1 · answered by placebo 2 · 0⤊ 0⤋
-4 < x < 4
-2 < y < 2
it is impossible to find that value because we have no "=" in the regions
2006-11-28 09:39:44 · answer #2 · answered by James Chan 4 · 0⤊ 0⤋