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Chapter 4 – Planning with limiting factors Question help

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Chapter 4 – Planning with limiting factors Question help

  • This topic has 3 replies, 2 voices, and was last updated 8 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • June 2, 2017 at 12:19 pm #389698
    dsrdbx
    Member
    • Topics: 5
    • Replies: 13
    • ☆

    Please see question below, at work typing this out, spent half an hour on it last night and could not figure it out :S;

    A: X=0 y=3,333.3
    Z=10x + 5y= 10(0) + 5(3333.3) = $16,666.50

    B: Solving 0.18x+0.03y=100, and 0.05x +0.02y =50
    Gives x=238.1 and y=1904.8
    Z=10(238.1) + 5(1,904.8) = $11,905

    C: Solving 0.05x + 0.02y= 50 and 0.02x + 0.05y=40
    Gives x=809.5 and y=476.2
    Z=10(809.5)=5(476.2)=$10476

    D: X=2,000 y=0
    Z=10(2000) + 5 (0) = $20,000

    I get part A of this and that’s about it. Part B is where I’m completely lost how X=238.1 and Y=1904.8 is worked out?

    Kaplan text book doesn’t really have a breakdown, just assumes you should know…

    June 2, 2017 at 4:22 pm #389747
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54701
    • ☆☆☆☆☆

    There are several ways of solving simultaneous equations. I will work through it the way I show in my free lectures on Linear Programming.

    For B:

    0.18x + 0.03y = 100 (1)
    0.05x + 0.02y = 50 (2)

    If you multiply equation (2) by 1.5 all the way through, you get:

    0.075x + 0.03y = 75 (3)
    (the reason I did this was to get the same number of y’s in the equation as in the other equation)

    Now subtract each term in (3) from each term in (1)

    0.105x + 0 = 25
    x = 25/0.105 = 238.1

    Now put x = 238.1 in either for the first 2 equations.
    If you put it in equation (1), then:
    (0.18 x 238.1) + 0.03y = 100
    0.03y = 100 – 42.858 = 57.142

    y = 57.142 / 0.03 = 1904.8

    Do watch the free lecture because I explain the same idea with different equations.

    (The free lectures are a complete free course for Paper F5 and cover everything needed to be able to pass the exam well)

    June 8, 2017 at 6:16 pm #391954
    dsrdbx
    Member
    • Topics: 5
    • Replies: 13
    • ☆

    Thank you so much John, appreciate it. Will have a look at this tomorrow after work.

    June 9, 2017 at 7:46 am #392090
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54701
    • ☆☆☆☆☆

    You are welcome 🙂

  • Author
    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘Chapter 4 – Planning with limiting factors Question help’ is closed to new replies.

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