- #1

- 47

- 0

maximize z = x_1 - 9x_2

subject to

x_1 +3x_2 +2x_3 =< 12

2x_1 + 2x_3 = 14

5x_1 +3x_2 +8x_3 = 50

x_1 >= 0, x_2>= 0, x_3>= 0.

- Thread starter peteryellow
- Start date

- #1

- 47

- 0

maximize z = x_1 - 9x_2

subject to

x_1 +3x_2 +2x_3 =< 12

2x_1 + 2x_3 = 14

5x_1 +3x_2 +8x_3 = 50

x_1 >= 0, x_2>= 0, x_3>= 0.

- #2

HallsofIvy

Science Advisor

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Max or min of a linear function, over a convex polygon, will occur at a vertex. Here, however, two of the "inequalities" are actually equations.

Find the point at which the planes x_1+ 3x_2+ 2x_3= 12, 2x_1+ 2x_3= 14, and 5x_1+ 3x_2+ 8x_3= 50 intersect.

- #3

- 47

- 0

yes but I have to solve it by using two phase method

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