A linear program is given by Maximize z = 60x1 + 60x2 + 36x3 Subject to 12x1 + 12x2 + 0x3 ≤ 72 30x1 + 18x2 + 18x3 ≤ 180 18x1 + 30x2 + 18x3 ≤ 180 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0 For this linear program the maximum value of the objective function is z max= ? and it
A linear program is given by
Maximize z = 60x1 + 60x2 + 36x3
Subject to
12x1 + 12x2 + 0x3 ≤ 72
30x1 + 18x2 + 18x3 ≤ 180
18x1 + 30x2 + 18x3 ≤ 180
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0
For this linear program the maximum value of the objective function is
z max= ?
and it achieves this value at the point
(x1, x2, x3) = ?
A linear program is given by
Maximize z = 60x1 + 60x2 + 36x3
Subject to
12x1 + 12x2 + 0x3 ≤ 72
30x1 + 18x2 + 18x3 ≤ 180
18x1 + 30x2 + 18x3 ≤ 180
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0
For this linear program the maximum value of the objective function is
z max= ?
and it achieves this value at the point
(x1, x2, x3) = ?
1 Answer
See below.
Explanation:
Linear programming problems can be solved using standard algorithms such as those found in matlab or mathematica. Those algorithms accept data in a standardized format. In mathematica the linear programming must be submitted within the format
subjected to
In the present case we have
and
with
now
so submitting we obtain the answer