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Planning with Limtiting Factors- Minimsing costs

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Planning with Limtiting Factors- Minimsing costs

  • This topic has 3 replies, 2 voices, and was last updated 7 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • March 27, 2018 at 3:30 pm #443907
    Tom
    Member
    • Topics: 15
    • Replies: 15
    • ☆

    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.

    March 27, 2018 at 4:23 pm #443918
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54833
    • ☆☆☆☆☆

    If 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).

    March 27, 2018 at 5:00 pm #443922
    Tom
    Member
    • Topics: 15
    • Replies: 15
    • ☆

    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.

    March 28, 2018 at 6:36 am #443954
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54833
    • ☆☆☆☆☆

    You are welcome – I am pleased that you have sorted it out 🙂

  • Author
    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘Planning with Limtiting Factors- Minimsing costs’ is closed to new replies.

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