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welcome to another video lecture from welcome to economics these lectures one jokes except of a linear supply function which as you know is a new component of the IB economics higher level syllabus in a previous lecture we discussed linear demand functions which displayed the law of demand and the downward sloping nature between a demand curve and the price of a good today well be exploring the direct relationship between the quantity supplied of good and the price for that good so lets begin by looking at a typical supply function just like our demand function a supply function includes the quantity which is a function of variable c plus d times the price of a good the c variable in a supply function tells us the autonomous level of supply in other words how much output would be produced if the price of a good were zero typically at a price of zero no output would be produced in an industry since there is no opportunity for profits therefore the C variable will in most cases be a n