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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
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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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?
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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