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February 1, 2016 at 7:03 am
morning sir,you mentioned something like the highest point of contribution is not always where the labour and material line intersects.my question is, can any of the two constraints give the highest contribution without having the two constraints intersecting?
January 23, 2016 at 5:12 am
I wanted to clarify one thing,if we plot S on x axis and E on y axis,that wouldnt change the maximum contribution/optimal production right?
John Moffat says
January 23, 2016 at 7:59 am
No – although the lines will look different it will not (and can not) change the answer!
January 23, 2016 at 9:19 am
January 23, 2016 at 3:22 pm
You are welcome
January 19, 2016 at 10:49 am
from where i can get your notes?Please Guide Me
January 15, 2016 at 7:58 am
thank you for the good lecture?, my questions are (i) are you always suppose to guess the contribution in order to get ISO cont line in the exam or sometimes its given to you? (ii)are you suppose to show all the steps involved..
January 15, 2016 at 10:58 am
Certainly on one occasion you were actually given the graph (with the iso-contribution line) and expected to then use it.
Otherwise you will be expected to draw the line yourself and because the angle is all that matters you need to ‘guess’ any level of contribution in order to get the angle.
Yes – I stress in the lecture that you do need to show the steps. In Section B of the exam the marks are for each bit of the workings – not simply for the final answer – and if you do not show any of the steps then you do not get the marks for them.
December 21, 2015 at 2:13 pm
i tried to plot the graph using S as x-axis and E as y-axis but graph is turning out to be weird and making no sense to me ?
how do we decide what to take for x-axis and y-axis ?
thanks in advance
December 22, 2015 at 6:59 am
It doesn’t make any difference which one you put on which axis.
The lines will be the other way round, but the optimal solution will be exactly the same.
November 22, 2015 at 12:37 am
Hello sir , i was wondering when calculating both equation for maximum contribution , do i have to show the workings on how I arrive at S and E (using the example) ? are there marks provided for the calculation because there is a faster way to calculate them on the calculator . Thank you
November 22, 2015 at 10:04 am
Although by all means calculate the figures themselves on your calculator, you must show working in the exam.
It is the workings that get the marks (and even if you have made a mistake you will still get most of the marks if you were doing it the right way).
(This only applies to section B of the exam. In Section A (the MCQ’s) any workings are for your benefit but they will not be looked at – all that gets marked is the final answer.)
November 18, 2015 at 9:37 pm
thanks for great lecture. I have a question in mind, is it compulsory to draw graph before solving equations or otherwise we can sole equations and then draw graph accordingly.
November 19, 2015 at 8:24 am
You will be required to draw the graph (unless the graph is actually drawn for you in the question which happened on one occasion).
It is impossible to know which equations to solve for the optimal mix without having the graph (and the iso-contribution line).
Mashal Khan says
November 6, 2015 at 12:09 am
Is it necessary to develop an equation in order to find out the values for point B? Because if the graph is drawn on the “graph paper”, It could easily be seen from the graph. Then why wasting time on these simultaneous equations?
November 6, 2015 at 5:32 am
You are required to solve simultaneous equations in the exam – your graph will never be that precise anyway.
November 6, 2015 at 6:31 pm
Thank you so much sir, You are the best…. (Y)
October 28, 2015 at 12:54 pm
Hello dear sir , i have some question regarding linear programming.
1 : While preparing graph , how to estimate about units at x-axis and y-axis i am confused about what limit to take on both side. ?
2: Once we prepared our graph , how we can identify feasible region i mean how to identify A and then B and so on. ?
October 28, 2015 at 3:21 pm
But I explain both of those in the lecture, and I can’t really add anything to what I say in the lecture.
October 16, 2015 at 5:59 pm
Hi, Thanks for your great explanation of this. The only thing I’m not sure about or may have missed is, … How did you choose 180 as the maximum limitation for labour hours ? You said at the start you would come back to it, but I never caught it.
October 16, 2015 at 6:32 pm
The limit on the labour hours is given in the question (the question is in the free lecture notes).
October 8, 2015 at 3:20 am
Hi Mr Moffat, it’s really great the way you explained this. You really make it easy to follow and understand.
Not sure I heard why you chose 40 as the max number on the graph. Please advise. Thanks alot.
October 8, 2015 at 9:19 am
I went through each constraint and calculated what points I needed to plot before actually drawing the lines.
So for materials I need S=0, E=20; and E=0, S = 40.
I did the same for each constraint, and then made sure the axis went far enough to be able to post the biggest S and the biggest E.
October 7, 2015 at 12:04 pm
thanks for the lecture sir. please the lebeling of the feasible region, can it be lebel the order way roung
October 7, 2015 at 12:07 pm
I am not sure what you mean.
The feasible region is the area where all of the constraints are satisfied. You can label the corners whatever you want, but there is only one feasible region.
September 27, 2015 at 5:36 pm
Hello ,sir Thanks again for your amazing lectures ,you make it very easy for me to understand, GOD pleasing you sir john Moffat
September 27, 2015 at 5:44 pm
Thank you very much for the comment
September 2, 2015 at 7:41 pm
How can I check my short question answer?
September 2, 2015 at 10:05 pm
I don’t know which short question you are referring to.
You should ask questions in the Ask the Tutor Forum for F5.
tayo badejo says
October 15, 2015 at 9:17 pm
i believe he means the short ‘Tests’. The answers are at the end of the lecture notes
August 27, 2015 at 9:00 pm
Hi Sir, in the exam if for example I do the E on the y-axis and S on x-axis obviously the graph will look different but the numbers will still be the same. Is that ok? if not how should I know which product should I put on the x/y axis?
August 28, 2015 at 9:05 am
It does not matter which is the x axis and which is the y axis. The graph will look different but the answer will still be the same.
Just make sure that you label the axes properly.
August 10, 2015 at 7:00 pm
1. When we find the slope of the ISO line, and push it out, we find the nearest ‘point’ (in this case it was B). This gives us the highest contribution point. Is this correct?
2. When working out S/E, do we always find the intersect of material v labour line? Then work out C?
Thank you in advance!
August 11, 2015 at 11:16 am
1. We move out the contribution line to the furthest point away from the origin, without leaving the feasible region.
2. When finding the optimal mix, we solve together the two lines that intersect at the point where the contribution is the highest (i.e. the point found in (1) above). It certainly will not always be where material and about lines intersect – it could be any two constraints depending on the question.
August 12, 2015 at 3:45 pm
Thanks, got it!
Although I understand, I find it very difficult to understand the 15 mark questions for this topic. In particular I struggle to recognise what the constraints are, and therefore I find it difficult to nail down a formula.
Not expecting a response..I guess I’ll just keep practicing questions to get the hang of it!
Awesome work that you guys are doing – me and my colleagues appreciate it a lot
August 12, 2015 at 4:07 pm
You are correct – it is down to question practice. You must obviously learn the technique, but actually sorting out the constraints for each particular question is something you cannot really learn – every question is different – and you can only get good at by practicing.
Thank you for your comment as well
August 1, 2015 at 5:24 pm
Sir, i am a student of the Institute of Chartered Accountants of Nigerian (ICAN). I have been writing perfromance management and FR since 2012 when the syllabus was changed. Right now, they no longer test MCQ and SAQ which has made it difficult to score cheap marks. Please advice me as am almost fed up with the whole examination.
August 1, 2015 at 6:03 pm
I am sorry, but I really don’t know the syllabus or anything for ICAN. All we have is the lectures etc for the ACCA exams. I am sure that some of them will be relevant for your exams, but I can’t really say any more given my lack of knowledge on ICAN.
August 1, 2015 at 6:25 pm
Thank you sir. ICAN and ACCA use same syllabus except for Public Sector Accounting and Finance (PSAF), Advanced Taxation and Business Law.
Anyway, i have really gained a lot from open tuition. I have this courage that am going to pass the next diet since my enrolment on this forum. Thank you once again
August 1, 2015 at 12:21 pm
What does the iso contribution line depicts
August 1, 2015 at 1:42 pm
It is the line showing all combinations that give the same contribution (the contribution line).
As I explain in the lecture, all we need is the angle/slope/gradient of the line.
July 27, 2015 at 5:41 pm
Sir, instead of writing the algebra for number of units of S and E that produce maximum contribution, can I just pinpoint the number from point B since I know that is the point of maximum contribution? I got exactly S= 30 and E=5 from the graph that I drew.
July 27, 2015 at 6:11 pm
As I do say in the lecture, the examiner expects you to solve the simultaneous equations and not to read the figure from the graph.
May 20, 2015 at 7:39 am
May 13, 2015 at 7:39 am
Thank u john
May 12, 2015 at 6:55 pm
This is probably a silly question, I’m possibly missing something … but why do we need to do the graph? Why can we not just use the equations to determine the optimum solution?
May 12, 2015 at 8:06 pm
No you can’t (and I do explain why not in the lecture).
If there are three (or more) constraints, then solving the equations for 2 of them at a time will not tell you whether or not they are inside or outside the other constraints.
In addition, the examiner specifically tests you on whether or not you understand the graph – sometimes you have been asked to draw the graph, and on other occasions you have been given the graph. In either case, simply solving equations would not be doing what was required.
May 12, 2015 at 8:12 pm
Oh I see, thank you. And my apologies for asking something you answered in the lecture. So much information to try and retain!
March 28, 2015 at 1:31 pm
If there is spare capacity/slack for materials or labour, than is the shadow price 0 as well?
March 28, 2015 at 1:49 pm
Yes it is.
March 28, 2015 at 2:05 pm
Thanks for the promt reply as always.
I wish theres spare capacity for everything, saves a lot of time
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