Math Problem Statement
At a production level of 7,150 units, a project has total cash costs of $142,673. The variable cost per unit is $9.28, and the depreciation is $4,200. What is the amount of the total fixed costs?
Multiple Choice $70,552 $72,121 $66,352 $76,321 $80,521
Solution
To find the total fixed costs, we can use the following formula for total cash costs:
Where:
- Total Cash Costs = $142,673
- Variable Cost per Unit = $9.28
- Number of Units = 7,150
- Fixed Costs = ?
Step-by-step calculation:
-
Calculate total variable costs:
-
Plug values into the total cash costs equation:
-
Solve for fixed costs:
Since depreciation is part of fixed costs, we add the depreciation to this value:
- Add depreciation to fixed costs:
Thus, the total fixed costs (including depreciation) are approximately $80,121, but none of the given choices matches this exactly. The closest option is $80,521.
Answer:
$80,521
Would you like further details on the calculation? Here are some follow-up questions:
- How does depreciation impact fixed costs?
- What are the differences between fixed and variable costs in project budgeting?
- How could a change in production level affect the variable cost calculation?
- What other factors could influence total cash costs in a project?
- What is the significance of cash flow analysis in production management?
Tip: Always check if depreciation is included or needs to be added when calculating fixed costs.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Cost Accounting
Formulas
Total Cash Costs = (Variable Cost per Unit × Number of Units) + Fixed Costs
Total Fixed Costs = Fixed Costs + Depreciation
Theorems
-
Suitable Grade Level
Grades 10-12
Related Recommendation
Find Total Fixed Costs Using Break-even Point Formula
Calculate Variable Cost Per Unit from Total Cost and Units
Calculate Fixed Manufacturing Overhead for Kubin Company at 27,000 Units
Calculation of Total Costs in Short-Term Production with Fixed and Variable Costs
Calculating Total Production Costs for Snacks