Mathematics, 31.07.2019 22:10 hiji0206
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function:
r′(x) = 4x(x²+ 26,000)⁻²/³
(a) find the total revenue function if the revenue from 125 gadgets is $17,939.
(b) how many gadgets must be sold for a revenue of at least $45,000?
Answers: 1
![R(x)=\displaystyle2\int\limits^x_{125} {(x^2+26000)^{-\frac{2}{3}}} \, 2x\cdot dx+17.939 =6\sqrt[3]{x^2+26000}-207.939+17.939\\\\R(x)=6\sqrt[3]{x^2+26000}-190](/tpl/images/0155/9056/6da7c.png)
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