4) A company manufactures and sells x lime scooters sets per month. The monthly cost and price-demand equations are C(x): = 16,000 + 75x p(x) = 200 – 30 0
4) A company manufactures and sells x lime scooters sets per month. The monthly cost and price-demand equations are C(x): = 16,000 + 75x p(x) = 200 – 30 0
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:4) A company manufactures and sells x lime scooters sets per month. The monthly cost and price-demand equations are
C(x) = 16,000 + 75x
Р(x) — 200-
0 < x < 3,000
30
a) Find the maximum monthly revenue.
b) Find the maximum profit, the production level that will realize the maximum profit, and the price the
company should charge for each scooter.
c) If the local government decides to subsidize the company $5 for each scooter it produces, how many scooters
should the company manufacture each month to maximize its profit under this revised scenario? What is the
maximum profit? What should the company charge for each scooter?
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