The cost of running a business courery is defined by C=10+5x, where x is the number of thousands of parcels delivered per month. What is the monthly cost if 2000 parcels are delivered?

The cost function for the courier business is given by:

\[
C = 10 + 5x
\]

where:
- $ C $ is the monthly cost in thousands of dollars,
- $ x $ is the number of thousands of parcels delivered.

If 2000 parcels are delivered, this means $ x = 2 $ (since 2000 parcels equals 2 thousands).

Now, substitute $ x = 2 $ into the cost function:

\[
C = 10 + 5(2)
\]

\[
C = 10 + 10 = 20
\]

So, the monthly cost is 20 thousand dollars, or $20,000.

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:
1. What would be the monthly cost if 3000 parcels are delivered?
2. How does the cost change for every additional 1000 parcels delivered?
3. What would be the cost if no parcels were delivered in a month?
4. How would the cost formula change if the base cost increased to 15 thousand dollars?
5. What is the break-even point if the business needs at least 25 thousand dollars in revenue to cover its costs?

**Tip:** Understanding how a variable affects the total cost can help you predict future expenses based on operational growth.

The cost of running a business courier is defined by C=10+5x, where x is the number of thousands of parcels delivered per month. What is the monthly cost if 2000 parcels are delivered?

Find out how to calculate the monthly cost for a courier business delivering 2000 parcels using the linear cost function C = 10 + 5x. This example breaks down the formula, shows the step-by-step calculation, and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation