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.

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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

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