Math Problem Statement

Use the following data to determine the total amount of working capital.

Accounts receivable

Inventory

Short-term investments

Land (held for future use)

Land

Buildings

Less: Accumulated depreciation

Franchise

Total assets

$158000

Ο $264900

$388600

$362300

Ace Supply Company Balance Sheet December 31, 2025

$125900

123700

Accounts payable

Salaries and wages payable

210100

86900

251500

287500

Total liabilities

Cash

Note payable (due 2028)

266900

26300

451200

$335000

(61600)

Common stock

360500

273400

Retained earnings

759500

212200

Total stockholders' equity

1120000

Total liabilities and stockholders' equity $1571200

$1571200

$613800

Solution

To determine the total amount of working capital, we need to use the following formula:

Working Capital=Current AssetsCurrent Liabilities\text{Working Capital} = \text{Current Assets} - \text{Current Liabilities}

Step 1: Identify Current Assets

Current assets are assets that are expected to be converted into cash within one year. From the provided data, the relevant current assets are:

  • Accounts receivable: $158,000
  • Inventory: $264,900
  • Short-term investments: $388,600
  • Cash: $266,900

These are all current assets, so we can sum them up:

Total Current Assets=158,000+264,900+388,600+266,900=1,078,400\text{Total Current Assets} = 158,000 + 264,900 + 388,600 + 266,900 = 1,078,400

Step 2: Identify Current Liabilities

Current liabilities are obligations the company expects to settle within one year. From the provided data, the current liabilities are:

  • Accounts payable: $210,100
  • Salaries and wages payable: $86,900

These are the current liabilities, so we sum them up:

Total Current Liabilities=210,100+86,900=297,000\text{Total Current Liabilities} = 210,100 + 86,900 = 297,000

Step 3: Calculate Working Capital

Now we subtract the total current liabilities from the total current assets to find the working capital:

Working Capital=1,078,400297,000=781,400\text{Working Capital} = 1,078,400 - 297,000 = 781,400

Conclusion:

The total working capital is $781,400.

Would you like to explore any specific details or have questions about this process?

Here are 5 follow-up questions that might help expand your understanding:

  1. How does working capital influence a company's financial health?
  2. What are some common ways to increase working capital?
  3. What differentiates current assets from non-current assets?
  4. How do companies typically finance their working capital needs?
  5. How does negative working capital affect a company's operations?

Tip: Keeping track of your current liabilities is crucial as it directly impacts the liquidity of the company.

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Math Problem Analysis

Mathematical Concepts

Working Capital
Balance Sheets
Current Assets
Current Liabilities

Formulas

Working Capital = Current Assets - Current Liabilities

Theorems

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Suitable Grade Level

College/University