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 $290 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)(290 - 10x) Find the marginal revenue if the group contains 35 people. $ Interpret your result. ○ The revenue will decrease by the absolute value of the marginal revenue in dollars if the group removes 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 increase by the absolute value of the marginal revenue in dollars if the group adds one person. The revenue will decrease by the absolute value of the marginal revenue in dollars if the group adds one person. The revenue will increase by $1 if the group adds the absolute value of the marginal revenue number of people.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
Question
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 $290 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)(290 - 10x)
Find the marginal revenue if the group contains 35 people.
$
Interpret your result.
○ The revenue will decrease by the absolute value of the marginal revenue in dollars if the group removes 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 increase by the absolute value of the marginal revenue in dollars if the group adds one person.
The revenue will decrease by the absolute value of the marginal revenue in dollars if the group adds one person.
The revenue will increase by $1 if the group adds the absolute value of the marginal revenue number of people.
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 $290 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)(290 - 10x) Find the marginal revenue if the group contains 35 people. $ Interpret your result. ○ The revenue will decrease by the absolute value of the marginal revenue in dollars if the group removes 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 increase by the absolute value of the marginal revenue in dollars if the group adds one person. The revenue will decrease by the absolute value of the marginal revenue in dollars if the group adds one person. The revenue will increase by $1 if the group adds the absolute value of the marginal revenue number of people.
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