The revenue in dollars generated from a sale of x picnic tables is given by R(x)
ID: 2893320 • Letter: T
Question
The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 114x - x^2/100 complete part a-d. a) Find the marginal revenue when 5000 tables are sold. To find the marginal revenue, start by finding the derivative of R(x)=114x-x^2/100 b) Estimate the revenue from the sale of the 5001^st table by finding R'(5000) c) Determine the actual revenue from the sale of the 5001^st table. How can the actual revenue from the sale of the 5001^st table be found? a) Find B(5001)-R'(5000) b) Find R(5001)+R'(5001) c) Find B(5001) d) Find RU5001)-R(5000) d) Determine the actual revenue from the sale of the 5001^st table.Explanation / Answer
From the given question,
a)R(x)=114x - x2/100
Marginal revenue= d/dx R(x)
=114 - 2x/100
marginal revenue when x=5000 is 114- 2(5000)/100= $ 14
b)Revenue from sale from 5001th item ==R '(5000)
=$ 14
c)Actual revenue from sale of 5001th table is
option(d) R(5001)- R(5000)
d)Actual revenue from sale of 5001th table is
R(5001)=114(5001) - (5001)2/100
=320,013.99
R(5000)=114(5000) - (5000)2/100
=320,000
R(5001)- R(5000)
=320,013.99-320,000
= $13.99
Actual revenue from sale of 5001th table is $13.99
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