Math Problem Statement
Solution
The total cost function provided in the image is:
To find the total cost for producing units, substitute into the cost function:
First, calculate :
Now add this to 50000:
Therefore, the total cost to produce 1100 units is .
Would you like more details, or have any further questions?
Here are 5 related questions:
- What would the total cost be if ?
- How does the fixed cost (the constant 50,000) affect the total cost?
- What is the variable cost per unit in this cost function?
- If the cost per unit increased to $7 per unit, what would the new total cost be for 1100 units?
- 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.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Cost Functions
Formulas
C(q) = 6.6q + 50000
Theorems
-
Suitable Grade Level
Grades 9-12
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