I’m not sure why we took the pains to make an assumption about what the contribution could be at the beginning and went on to discuss how the gradient of the line is affected by the 2 variables because while it’s true that the angle depends on those two variables, their sum total also has a bearing on the gradient of the line. That’s to say, s+2e =3, isn’t the same as s+2e=4, that their gradients cannot be the same. Can you help me understand why we made that assumption please. Thanks

Hi, we had the equation of 5S+6E= 180 and 2S+4E=80 right at the beginning itself so we could have used this to solve via the simultaneous equation route. So I am bit confused that why did we draw the graph when we had this equation right at the beginning please ? Thanks

Keaobaka says

I’m not sure why we took the pains to make an assumption about what the contribution could be at the beginning and went on to discuss how the gradient of the line is affected by the 2 variables because while it’s true that the angle depends on those two variables, their sum total also has a bearing on the gradient of the line. That’s to say, s+2e =3, isn’t the same as s+2e=4, that their gradients cannot be the same. Can you help me understand why we made that assumption please. Thanks

Keaobaka says

Not to worry. I went back to the lecture and reflected back on my high school Math and realized how wrong I was! It helps to review these lessons

John Moffat says

No – the total has no bearing at all on the gradient/angle of the line. It is not an assumption at all but is a fact.

The only difference is that if the total is 4 then the line will be further away from the origin than if the total is 3.

Get some graph paper and draw the lines yourself. You will see that they are parallel to each other, and will be parallel whatever the total is.

jenishcaj says

This was really interesting and it is how the math works out that’s such a wow. Thank you…

John Moffat says

You are welcome 馃檪

zmeadows says

Thanks very much for a very clear explanation! 馃檪

bineeshaleyas says

Hi, we had the equation of 5S+6E= 180 and 2S+4E=80 right at the beginning itself so we could have used this to solve via the simultaneous equation route. So I am bit confused that why did we draw the graph when we had this equation right at the beginning please ? Thanks

jasminetomz says

Thank you so very much i now have a clearer view of linear programming.

mrfk007 says

Thank you, Sir! It was of a great help! 馃檪