The marginal revenue (in thousands of dollars) from the sale of x gadgets is giv
ID: 2886455 • Letter: T
Question
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. 2 R(x)4xx26,000) a. Find the total revenue function if the revenue from 130 gadgets is $10,041. b. How many gadgets must be sold for a revenue of at least $45,000? a. The total revenue function is R(x)- 6(x2 +26000) ° - 200, given that the revenue from 130 gadgets is $10,041. Round to the nearest integer as needed.) b. gadgets must be sold to generate a revenue of at least $45,000. (Type a whole number.)Explanation / Answer
revenue $45000
R(x)=45 thousands dollars, x = ?
from part R(x)=6(x^2 + 26000)^(1/3) -200
6(x^2 + 26000)^(1/3) -200 =45
6(x^2 +26000)^(1/3) = 245
(x^2 + 26000)^(1/3) =245/6
Cube of both side
(x^2 + 26000) =(245/6)^3
x^2 = (245/6)^3 - 26000
x = ( (245/6)^3 -26000 )^0.5
x =205.1 436
rounding it to next whole number
x = 206
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