Q5. Student council is organizing its annual trip to an out-of-town concert. For the past 3 years, the cost of the trip has been $140 per person. At this price, all 200 seats on the train were filled. This year, student council plans to increase the price of the trip. Based on a student survey, council estimates that for every $10 increase in price, five fewer students will attend the concert. a. Write an equation to represent revenue, R, in dollars, as a function of the number of $10 increases, n. b. Determine an expression, in simplified form, for dR/dn and interpret it for this situation. c) Determine when R'(n) = 0. What information does this give the manager?
Q5. Student council is organizing its annual trip to an out-of-town concert. For the past 3 years, the cost of the trip has been $140 per person. At this price, all 200 seats on the train were filled. This year, student council plans to increase the price of the trip. Based on a student survey, council estimates that for every $10 increase in price, five fewer students will attend the concert. a. Write an equation to represent revenue, R, in dollars, as a function of the number of $10 increases, n. b. Determine an expression, in simplified form, for dR/dn and interpret it for this situation. c) Determine when R'(n) = 0. What information does this give the manager?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q5. Student council is organizing its annual trip to an out-of-town concert. For the past
3 years, the cost of the trip has been $140 per person. At this price, all 200 seats on the
train were filled. This year, student council plans to increase the price of the trip. Based
on a student survey, council estimates that for every $10 increase in price, five fewer
students will attend the concert.
a. Write an equation to represent revenue, R, in dollars, as a function of the number
of $10 increases, n.
b. Determine an expression, in simplified form, for dR/dn and interpret it for this
situation.
c) Determine when R'(n) = 0. What information does this give the manager?
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