To calculate the cash balance, we can use the accounting equation:
\[ \text{Assets} = \text{Liabilities} + \text{Equity} \]
Here's how to break this down:
1. Calculate Total Assets
Total Assets consists of:
- Cash
- Accounts Receivable
- Inventory
- Net Fixed Assets
The equation can be rearranged to find Cash:
\[ \text{Cash} = \text{Total Assets} - (\text{Accounts Receivable} + \text{Inventory} + \text{Net Fixed Assets}) \]
2. Calculate Total Liabilities
Total Liabilities consists of:
- Accounts Payable
- Accruals
- Notes Payable
- Long-term Debt
3. Calculate Equity
Equity consists of:
- Common Stock
- Additional Paid-in Capital
- Retained Earnings
Let’s calculate these values step by step.
Total Assets Calculation
Given values:
- Accounts Receivable = $122,400
- Inventories = $115,200
- Net Fixed Assets = $399,600
Calculating Total Assets excluding Cash: \[ \text{Total Assets (without Cash)} = \text{Accounts Receivable} + \text{Inventories} + \text{Net Fixed Assets} \] \[ \text{Total Assets (without Cash)} = 122,400 + 115,200 + 399,600 = 637,200 \]
Total Liabilities Calculation
Given values:
- Accounts Payable = $45,000
- Accruals = $13,500
- Notes Payable = $64,800
- Long-term Debt = $138,565
Calculating Total Liabilities: \[ \text{Total Liabilities} = \text{Accounts Payable} + \text{Accruals} + \text{Notes Payable} + \text{Long-term Debt} \] \[ \text{Total Liabilities} = 45,000 + 13,500 + 64,800 + 138,565 = 261,865 \]
Total Equity Calculation
Given values:
- Common Stock @ par value = $42,000
- Additional Paid-in Capital = $216,660
- Retained Earnings = $136,800
Calculating Total Equity: \[ \text{Total Equity} = \text{Common Stock} + \text{Additional Paid-in Capital} + \text{Retained Earnings} \] \[ \text{Total Equity} = 42,000 + 216,660 + 136,800 = 395,460 \]
Final Calculation for Total Assets
Now we can use the accounting equation: \[ \text{Assets} = \text{Liabilities} + \text{Equity} \] \[ \text{Assets} = 261,865 + 395,460 = 657,325 \]
Calculate Cash Balance
Now we can find the Cash balance: \[ \text{Total Assets} = \text{Cash} + \text{Accounts Receivable} + \text{Inventories} + \text{Net Fixed Assets} \] \[ 657,325 = \text{Cash} + 637,200 \]
Now, solving for Cash: \[ \text{Cash} = 657,325 - 637,200 = 20,125 \]
Conclusion
The cash balance is: \[ \text{Cash} = $20,125 \]