Because the line that we draw when it is equals is the boundary. If it is a less than constraint then any values of the two variables must be either on the line (i.e. equals the constraint) or below the line (i.e. less than the constraint).

Thanks Mr John and good morning. It is possible to do the inverse of the x and y axes for standard and executive chairs and still arrive at the same optimal production plan? Here S is positioned on the vertical axis while E on the horizontal axis.

It does not matter which axis you use for each product – the answer will be the same (even though the lines will look different).

However, do appreciate that you cannot be asked in the exam to draw the graph – but what can happen is that the graph might be already drawn for you in the question, and you can be tested that you understand it.

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Lesego says

thank you for the lecture. well explained

josephjoy says

Dear Sir

Why are we assuming that greater than or lesser than symbol is deemed to be “equals” symbol in finding the coordinates for constraints

John Moffat says

Because the line that we draw when it is equals is the boundary. If it is a less than constraint then any values of the two variables must be either on the line (i.e. equals the constraint) or below the line (i.e. less than the constraint).

I do explain this in the lectures.

alie2018 says

Thanks Mr John and good morning. It is possible to do the inverse of the x and y axes for standard and executive chairs and still arrive at the same optimal production plan? Here S is positioned on the vertical axis while E on the horizontal axis.

John Moffat says

It does not matter which axis you use for each product – the answer will be the same (even though the lines will look different).

However, do appreciate that you cannot be asked in the exam to draw the graph – but what can happen is that the graph might be already drawn for you in the question, and you can be tested that you understand it.

alie2018 says

Okay Sir. Thanks