The following is the mathematical model of a linear programming
problem for profit:
Maximize Z = 2X1 + 3X2
subject to:
4X1 + 9X2 ≤ 72
10X1 + 11X2 ≤ 110
17X1 + 9X2 ≤ 153
X1 , X2 ≥ 0
The constraint lines have been graphed below along with one example
profit line (dashed). The decision variable X1 is used as the X
axis of the graph.
Which of the following gives the constraint line that cuts the
X2 axis at X2 = 17?
A. Z = 2X1 + 3X2
B. 4X1 + 9X2 ≤ 72
C. 10X1 + 11X2 ≤ 110
D. 17X1 + 9X2 ≤ 153
E. X1 , X2 ≥ 0
The details of the solution is atach images given bleow.
1
2 Graph
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