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 $310 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)(310 − 10x) Find the marginal revenue if the group contains 35 people. $ Interpret your result. 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 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 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 adds one person.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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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 $310 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)(310 − 10x)

Find the marginal revenue if the group contains 35 people.


Interpret your result.

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 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 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 adds one person.
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