Can someone please help with the below question?

label Calculus
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schedule 1 Day
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the marginal revenue function for a certain item is given by r'(x)=8x^1/3+3 where x is the number of items. Determine the revenue generated when 27 items are sold if the revenue for 8 items is $50.

Jul 15th, 2015

Thank you for the opportunity to help you with your question!

r(x) = 8*3/4*x^(4/3) +3x+C, 

use x =8 r = 50 we have 

8*3/4*16+24+C=50 

C = -70 

r(x) = 6x^4/3+3x-70

r(27) = 6*81+81-70 = 497 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 15th, 2015

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