Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation 60 (0 ≤ x ≤ 20) 0.03x² + 1 where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following. (a) Find the revenue function R. R(x) = (b) Find the marginal revenue function R'. R'(x) = (c) Compute R'(4). (Round your answer to three decimal places.) R'(4) =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Ex 3.4 Q9

Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation
60
(0 ≤ x ≤ 20)
0.03x² + 1
where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following.
(a) Find the revenue function R.
R(x) =
(b) Find the marginal revenue function R'.
R'(x) =
(c) Compute R'(4). (Round your answer to three decimal places.)
R'(4) =
Transcribed Image Text:Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation 60 (0 ≤ x ≤ 20) 0.03x² + 1 where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following. (a) Find the revenue function R. R(x) = (b) Find the marginal revenue function R'. R'(x) = (c) Compute R'(4). (Round your answer to three decimal places.) R'(4) =
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