the Viling Boat's 34-ft notes the number of yachts and p is the prie Find the revenue function R(z) = rp and of yacht.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
Question
6. The demand function for the Viking Boat's 34-ft Sundancer yacht is p- 200-0.01zIn z, where
z denotes the number of yachts and p is the price per yacht in hundreds of dollars.
(a) Find the revenue function R(x) = rp and the marginal revenue function for this model
of yacht.
(b) Use the result of part (a) to estimate the revenue realized from the sale of the 501-st
34-ft Sundarce yacht. (Note: This is an estimate, so be careful to se the correct function
from part (a) and to evaluate it at the correct value of r.)
Note: If you compute the cract revenue lrom the sale of the 501st vacht, vou will find
R(501)-R(500) = [200(501)-0.01(5501)'In(501)]-[200(500)-001(500) In(500)] 132.77676,
so that the actual revenuoe is $13277.68
(c) Is the approKinalon gooxi?
Transcribed Image Text:6. The demand function for the Viking Boat's 34-ft Sundancer yacht is p- 200-0.01zIn z, where z denotes the number of yachts and p is the price per yacht in hundreds of dollars. (a) Find the revenue function R(x) = rp and the marginal revenue function for this model of yacht. (b) Use the result of part (a) to estimate the revenue realized from the sale of the 501-st 34-ft Sundarce yacht. (Note: This is an estimate, so be careful to se the correct function from part (a) and to evaluate it at the correct value of r.) Note: If you compute the cract revenue lrom the sale of the 501st vacht, vou will find R(501)-R(500) = [200(501)-0.01(5501)'In(501)]-[200(500)-001(500) In(500)] 132.77676, so that the actual revenuoe is $13277.68 (c) Is the approKinalon gooxi?
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