rtsmith555
New member
- Joined
- Jul 22, 2021
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Hi. I have an LP problem in my class which has generated the following answer:
min 8.5x + 9.7y
subject to the following constraints:
C1: x + y >= 30
C2: .07x + .5y >= .3 (x + y)
C3: .03 x + .05y <= .05 (x + y)
C4: x >= 0, y > = 0
This is the final answer as confirmed by the online class. (x + y) is included on the RHS of the constraints in red (C2 and C3). The class instructions state that we can graph it on our own to see the binding lines of the feasible region. We are supposed to do this by setting a variable in each equation (x or y) equal to zero and solving for the other variable in each equation to generate points on the lines. Then we reverse procedure for the other variable.
I've had no problem with this for simpler equations with both variables only on the LHS and a non-variable value on the RHS, but for these equations I cannot arrive at a result that makes sense and class support is virtually nonexistent.
When you sub x or y out with zero in each equation and solve for the other variable, the result is zero. This gives me ordered pairs of 0,0 and 0,0 for each equation. That's not a line to draw.
Can anyone spot my error? Apparently, I am supposed to be able to graph these equations to illustrate a feasible region. Help is appreciated!
min 8.5x + 9.7y
subject to the following constraints:
C1: x + y >= 30
C2: .07x + .5y >= .3 (x + y)
C3: .03 x + .05y <= .05 (x + y)
C4: x >= 0, y > = 0
This is the final answer as confirmed by the online class. (x + y) is included on the RHS of the constraints in red (C2 and C3). The class instructions state that we can graph it on our own to see the binding lines of the feasible region. We are supposed to do this by setting a variable in each equation (x or y) equal to zero and solving for the other variable in each equation to generate points on the lines. Then we reverse procedure for the other variable.
I've had no problem with this for simpler equations with both variables only on the LHS and a non-variable value on the RHS, but for these equations I cannot arrive at a result that makes sense and class support is virtually nonexistent.
When you sub x or y out with zero in each equation and solve for the other variable, the result is zero. This gives me ordered pairs of 0,0 and 0,0 for each equation. That's not a line to draw.
Can anyone spot my error? Apparently, I am supposed to be able to graph these equations to illustrate a feasible region. Help is appreciated!