A travel agency will plan a group tour for groups of size 30 or larger. If the group contains exactly 30 people, the cost is $210 per person. If each person's cost is reduced by $10 for each additional person above the 30, then the revenue is given by the equation shown below, where x is the number of additional people above 30. R(x) = (30 + x)(210 – 10x) Find the marginal revenue if the group contains 35 people. %24

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A travel agency will plan a group tour for groups of size 30 or larger. If the group contains exactly 30 people, the cost is
$210 per person. If each person's cost is reduced by $10 for each additional person above the 30, then the revenue is
given by the equation shown below, where x is the number of additional people above 30.
R(x) = (30 + x)(210 – 10x)
Find the marginal revenue if the group contains 35 people.
Interpret your result.
O The revenue will decrease by the absolute value of the marginal revenue in dollars if the group adds one person.
The revenue will decrease by $1 if the group adds the absolute value of the marginal revenue number of people.
The revenue will decrease by the absolute value of the marginal revenue in dollars if the group removes one person.
The revenue will increase by $1 if the group adds the absolute value of the marginal revenue number of people.
The revenue will increase by the absolute value of the marginal revenue in dollars if the group adds one person.
Transcribed Image Text:A travel agency will plan a group tour for groups of size 30 or larger. If the group contains exactly 30 people, the cost is $210 per person. If each person's cost is reduced by $10 for each additional person above the 30, then the revenue is given by the equation shown below, where x is the number of additional people above 30. R(x) = (30 + x)(210 – 10x) Find the marginal revenue if the group contains 35 people. Interpret your result. O The revenue will decrease by the absolute value of the marginal revenue in dollars if the group adds one person. The revenue will decrease by $1 if the group adds the absolute value of the marginal revenue number of people. The revenue will decrease by the absolute value of the marginal revenue in dollars if the group removes one person. The revenue will increase by $1 if the group adds the absolute value of the marginal revenue number of people. The revenue will increase by the absolute value of the marginal revenue in dollars if the group adds one person.
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