The revenue (in thousands of dollars) from producing $$ x $$ units of an item is modeled by $$ R(x)=13 x-0.01 x^{2} $$. a. Find the average rate of change in revenue as $$ x $$ changes from 1004 to 1005 . b. Find the marginal revenue at $$ x=500 $$.

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Hart Warner · Accepted Answer

a. The average rate of change in revenue from 1004 to 1005 units is approximately -7.09 thousand dollars. b. The marginal revenue at 500 units is 3 thousand dollars.

The revenue (in thousands of dollars) from producing \( x \) units of an item is modeled by \( R(x)=13 x-0.01 x^{2} \). a. Find the average rate of change in revenue as \( x \) changes from 1004 to 1005 . b. Find the marginal revenue at \( x=500 \).

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The revenue (in thousands of dollars) from producing \( x \) units of an item is modeled by \( R(x)=13 x-0.01 x^{2} \). a. Find the average rate of change in revenue as \( x \) changes from 1004 to 1005 . b. Find the marginal revenue at \( x=500 \).

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