top of page

Use code SCNEWCUST15 for 15% off ALL scooters through month-end.  Redeem here

Understanding Profit Function: Calculating Total Profit for a Scooter Company

For a scooter company determining overall profitability, it's critical to establish a profit function that accounts for both production costs and revenue. In this context, we understand that the production cost for each scooter is $200, and the company shoulders a fixed cost of $1,500. Total revenue is indicated by the function $R(x) = 400x - 2x^2$, where $x$ represents the number of electric scooters sold.

The profit function, which we aim to outline, is essentially the total revenue minus the total cost. The total cost not only includes the variable costs per unit produced but also the fixed costs irrespective of the number of units produced.

Given the cost per scooter and fixed costs, the total cost function $C(x)$ can be expressed as:

$$C(x) = 200x + 1500$$

Now, to determine the profit function $P(x)$, we subtract this total cost function from the revenue function:

$$P(x) = R(x) - C(x)$$

Substituting in the given functions:

$$P(x) = (400x - 2x^2) - (200x + 1500)$$

Simplifying, we find the profit function:

$$P(x) = -2x^2 + 200x - 1500$$

This quadratic profit function represents the scooter company's total profit and is an essential tool in forecasting financial outcomes and planning for scalable growth. By analyzing this function, the company can identify the break-even point, optimize pricing, determine the best production levels, and make informed strategic decisions to increase profitability.

For those looking to dive deeper into cost management and profit optimization strategies for businesses, understanding and utilizing the profit function is a cornerstone of financial analysis and business administration.

Levy Electric Scooter Icons

Start a Fleet

Start a rental fleet with Levy

Levy Electric Scooter Icons


Wholesale Levy scooters at your online store or shop

Levy Electric Scooter Icons

Retail Partners

Wholesale Levy scooters at your 
online store or shop

Levy Electric Scooter Icons

Tag us

Follow and tag us on social!

Brand Ambassador

Earn money for referring friends and growing the network

Service Guides

DIY repair tools, videos, and more


Interested in working at Levy?


Invest in the Levy Network

Levy Locations

Find our rental, repair, and store locations

The Levy App

Download the Levy app to find scooters closest to you


Technical specs for all of our scooters


The Levy swappable battery system

Spare Parts

Every spare part you need for your scooter


Choose the Levy scooter that suits you best


Learn more about electric scooter tires


Bags, phone holders, helmets and more

Levy Electric Scooter Icon

The everyday electric scooter, perfect for the daily commute.

Levy Electric Scooter Fleets Icon

Start a rental fleet with Levy scooters and software

Levy Plus Electric Scooter Icon

Our high-end, long range cruiser with double the range of the Levy.

Support Center

FAQs, how-to videos, and quick start guides

Shipping App

Discounted shipping labels for moving your scooter (or any package).

Range Calculator

Estimate real-world range for any scooter

Electric Scooter Laws

Electric scooter laws by state & city


Subscribe to a scooter for $70/month

Shop Locator

Find a location to test ride or bring your Levy in to get repaired


Get in touch with our team

Quick-start guide

Get started with your Levy

Returns & Warranty

Every spare part you need for your scooter

Shipping Policy

Shipping Policy US and International

bottom of page