Optimising
Concept 11 of 13 in Linear Programming
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Maximise Z=2x+yZ = 2x + yZ=2x+y over 2x+y≤82x + y \le 82x+y≤8, x≤3x \le 3x≤3, y≤4y \le 4y≤4, x,y≥0x, y \ge 0x,y≥0. The corners (3,2)(3, 2)(3,2) and (2,4)(2, 4)(2,4) both give the largest value, Z=8Z = 8Z=8. How many points of the region give the maximum?
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