I need detailed help with steps on how to find answer, and reason why answer is what it is :

Carpon Lumber sells lumber and general building supplies to building contractors in a medium sized town in Montana. Data regarding the store's operations follow :

Sales are budgeted at $340,000 for November, $350,000 for December , and $370,000 for January.

Collections are expected to be 55% in the month of sale, 44% in month following sale, and 1% uncollectible.

The cost of goods sold is 75% of sales.

The company desires to have ending merchandise inventory equal to 60% of the next month's cost of goods sold. Payment for merchandise is made in the month following the purchase.

Other monthly expenses to be paid in cash are $21,100.

Monthly depreciation is $19,000.

Ignore Taxes.

Statement of Financial Position : October 31

Assets:

Cash : $13,000

Accounts Receivable (net of allowance for uncollectible accounts) : $82,000

Inventory : $153,000

Property , Plant , and Equipment (net of $598,000 accumulated depreciation) : $1,138,000

Total Assets : $1,386,000

Liabilities and Stockholders Equity :

Accounts Payable : $257,000

Common Stock : $600,000

Retained Earnings : $529,000

Total Liabilities and Stockholders Equity : $1,386,000

Question : What was cash balance at end of December ?

Answer was 65,400 but I need exact help with steps as to how and why, and please be ready for follow up questions if you want best answer !