I am having a problem trying to solve the simultaneous equation in the Kaplan book Chapter 4. The questions is Test Your Understanding 7.
The Objective Function
Z=10x + 5y
The constraints
.18x + .03y >= 100 (end points: x3,333.3, y555.5)
.05x + .02y >= 50 (end points: x2,500, y1,000)
.02x + .05y .= 40 (end points: x800, y2000)
Non Negativity x>=0, y>=0
The end points on the graph are: (Y=3333.3 and Y=2000)
The inspection method used (solving)
A: x=0, y=3,333.3
z=10x+5y=10(0) + 5(3,333.)= 16,666.50
B: .18X+03y=100 and .05x + .02y=50
gives- x=238.1 and y=1,904.8
(How was this calculated? I tried subbing in y=3,333.3 and solving!)
C: .05x + .02y=50 and .02x + .05y=40
gives- x=809.5 and y=476.2
(Again trouble deciding how to calculate end figures here)
D: x=2,000 y=0
z=10(2,000) + 5(0)=20,000
(straightforward thankfully)
I know I am missing a simple point in solving Lines B and C. Perhaps I have left out some information from above. If anyone could help I would be very grateful.
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8y ago#1If you ask in this forum, then 'anyone' will always be me (because it is the Ask the Tutor Forum, and I am the tutor) :-)
I do not have the Kaplan Study Text (only the BPP Revision Kit).
It seems that your problem is solving simultaneous equations. I suggest that you watch my free lectures on linear programming, because I show how to solve the equations together.
The lectures are a complete free course for Paper F5 and cover everything needed to be able to pass the exam well.
(If you are watching the lectures then you do not really need a Study Text. What you must have (however you choose to study) is a Revision/Exam Kit - that contains lots of exam standard questions for practice, and practice is vital).
Thank you so much John! I'm not sure if that was a cryptic message in there but I just multiplied the lines to make a similar X, subtracted the two lines and solved for my answer. Solve a S Equation the way its supposed to be solved. *Together
Once more I made things more difficult than was necessary.
Will watch the videos again. Cheers.
8y ago#3You are welcome - I am pleased that you have sorted it out :-)
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