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constraints problem

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › constraints problem

  • This topic has 3 replies, 2 voices, and was last updated 11 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • November 1, 2013 at 1:57 pm #144309
    Gabriel
    Member
    • Topics: 135
    • Replies: 591
    • ☆☆☆☆

    Here is a linear programming question:

    Cantata operates a small machine shop. Next month he plans to manufacture two products, A and B upon which the unit contribution is estimated to be $50 and $70 respectively. For their manufacture both products require inputs of machine processing time, raw materials and labour. Each unit of product A requires 3 hours of machine processing time, 16 units of raw materials and 6 hours of labour. The corresponding per unit requirements for product B are 10, 4 and 6 respectively.Cantata forecasts that next month he can make available 330 hours of machine processing time, 400 units of raw materials and 240 labour hours. The technology of the manufacturing process
    is such that at least 12 units of product B must be made in any given time. Sales department of Cantata has forecast to sell 50 units of each product next month.
    Required:
    How many units of product A and B should be produced in order to maximize contribution?

    Everything else is perfect in this question, but the only thing that concerns me is this line “Sales department of Cantata has forecast to sell 50 units of each product next month. ” Doesn’t this mean that maximum demand is 50 units for each product and therefore there is a constraints for maximum demand up to 50 units for products A and B? I thought this but in the answers, there is no constraints of maximum demand for up to 50 units and there is just the minimum constraint requirement for there to be production of at least 12 units of product B. Why isn’t this line interpreted as being a maximum demand constraint?

    Please advise.

    Thanks,

    Gabriel

    November 1, 2013 at 2:40 pm #144312
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    I don’t know where you found the question, but it is not an old exam question.

    There should be two more constraints with regard to the maximum demand.
    I have absolutely no idea why their answer does not have them.

    I can only assume that they have left them out because they are redundant due to the other constraints. However they should still have put them in.

    November 1, 2013 at 2:44 pm #144313
    Gabriel
    Member
    • Topics: 135
    • Replies: 591
    • ☆☆☆☆

    THANK!

    YES IT IS JUST SENSIBLE TO INCLUDE THEM. I WAS EVEN SURPRISED WHEN THE ANSWERS DIDN’T INCLUDE THEM. IT IS A QUESTION I FOUND ONLINE FROM LSBF’S COURSE NOTES FOR THE JUNE 2013 F5 tuition session

    November 2, 2013 at 9:48 am #144376
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    Very odd that they did not mention these two constraints!

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