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The calculus-free answerThink of the effect incremental increases in quantity have on total revenue. Make a simple graph with a demand curve and draw boxes representing total revenue. Notice how the total area of the box (representing the total revenue) varies as quantity increases. With a linear demand curve, as you move down the curve the box becomes larger and larger in area until you reach the curve's midpoint. This means that the MR up to this point was positive because TR was increasing. After this point the area of the box declines, this means that from this point forward the MR is negative because TR is decreasing. This is why the MR curve hits zero at half the quantity the demand curve hits zero. Hope this helps.

-DVE

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