Math Problem Statement

What is the total cost to produce q = 1100 units, given the cost function C(q) = 6.6q + 50000?

Solution

The total cost function provided in the image is:

C(q)=6.6q+50000C(q) = 6.6q + 50000

To find the total cost for producing q=1100q = 1100 units, substitute q=1100q = 1100 into the cost function:

C(1100)=6.6(1100)+50000C(1100) = 6.6(1100) + 50000

First, calculate 6.6×11006.6 \times 1100:

6.6×1100=72606.6 \times 1100 = 7260

Now add this to 50000:

7260+50000=572607260 + 50000 = 57260

Therefore, the total cost to produce 1100 units is 57,26057,260.

Would you like more details, or have any further questions?

Here are 5 related questions:

  1. What would the total cost be if q=1500q = 1500?
  2. How does the fixed cost (the constant 50,000) affect the total cost?
  3. What is the variable cost per unit in this cost function?
  4. If the cost per unit increased to $7 per unit, what would the new total cost be for 1100 units?
  5. How would the cost function change if there was an additional processing fee of $2000 added to all production costs?

Tip: Always separate fixed and variable costs when analyzing total costs in production.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Functions
Cost Functions

Formulas

C(q) = 6.6q + 50000

Theorems

-

Suitable Grade Level

Grades 9-12