Mathematics, 15.04.2020 20:48 lilly198o
If the demand equation (in dollars) for a certain commodity is p = 55/ln x, where x represents the number of units of the commodity, determine the marginal revenue function for this commodity, and compute the marginal revenue when x = 20. What is the marginal revenue function for this commodity? R' (x) = (Use integers or decimals for any numbers in the expression.) What is the marginal revenue when x = 20? R' (20) = (Round to the nearest whole number as needed.)
Answers: 2
![\dfrac{dR}{dx}=\dfrac{d}{dx}[55x/ln(x)] \\\\\\ u=55x\\\\v=ln(x)\\\\ (u/v)'=(u'v-uv')/v^2=(55ln(x)-55x/x)/ln(x)^2 \\\\(u/v)'=(55ln(x)-55)/ln(x)^2 \\\\\\\dfrac{dR}{dx}=\dfrac{55ln(x)-55}{ln(x)^2}](/tpl/images/0602/7396/358cc.png)
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