MHB Calculate revenue from the sale of 100 products.

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The marginal revenue function is defined as MR(x) = 2x + 3. To calculate the revenue from selling 100 products, one must integrate the marginal revenue function from 0 to 100. This integration reflects the total revenue generated, confirming that marginal revenue is indeed related to derivatives. The discussion emphasizes the connection between marginal revenue and the continuous revenue function. Ultimately, the revenue from the sale of 100 products can be derived through this integral calculation.
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The marginal revenue function at output x is
MR (x) = 2x + 3.
Calculate revenue from the sale of 100 products.Can't find a way to complete this task, is it somehow connected with derivatives?
 
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You'll have to do better than that. "Marginal" sounds like it might BE the derivative, no?
 
Yes, if I remember correctly (I once had the "pleasure" of teaching a "Math for economics and Business Administration" class) the "marginal revenue" is the derivative of a continuous revenue function ("first difference" if it is defined only for integers). So given that the marginal revenue is 2x+ 3 the revenue from the sale of 100 products is the integral of 2x+ 3 with respect to x from 0 to 100.
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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