. The price, p, in dollars of a product is given by p(n) = = 36 - 0.4n, 0≤n≤90, where n is the number of units sold each day. The operating cost of the business is $100 per day, plus $20 in commission for each item sold. a) Find the daily revenue function. b) Find the daily cost function. c) If the profit function is given by P(n) = R(n) - C(n), for what values of n will the profit be greater than or equal to zero?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. The price, p, in dollars of a product is given by
p(n) = 36 – 0.4n, 0≤ n ≤ 90, where n is the
number of units sold each day. The operating
cost of the business is $100 per day, plus $20 in
commission for each item sold.
a) Find the daily revenue function.
b) Find the daily cost function.
c) If the profit function is given by
P(n) = R(n) – C(n), for what values of n will
the profit be greater than or equal to zero?
Transcribed Image Text:- 5. The price, p, in dollars of a product is given by p(n) = 36 – 0.4n, 0≤ n ≤ 90, where n is the number of units sold each day. The operating cost of the business is $100 per day, plus $20 in commission for each item sold. a) Find the daily revenue function. b) Find the daily cost function. c) If the profit function is given by P(n) = R(n) – C(n), for what values of n will the profit be greater than or equal to zero?
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