A travel agency will plan a group tour for groups of size 35 or larger. If the group contains exactly 35 people, the cost is $280 per person. If each person's cost is reduced by $10 for each additional person above the 35, then the revenue is given by the equation shown below, where x is the number of additional people above 35. R(x) = (35 + x)(280 − 10x) Find the marginal revenue if the group contains 40 people.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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A travel agency will plan a group tour for groups of size 35 or larger. If the group contains exactly 35 people, the cost is $280 per person. If each person's cost is reduced by $10 for each additional person above the 35, then the revenue is given by the equation shown below, where x is the number of additional people above 35.

R(x) = (35 + x)(280 − 10x)

Find the marginal revenue if the group contains 40 people.

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