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30 May, 00:22

Suppose that Sam Industries has annual sales of $2 million, cost of goods sold of $950,000, average inventories of $45,000, and average accounts receivable of $90,000. Assuming that all of Sam's sales are on credit, what will be the firm's operating cycle?

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  1. 30 May, 01:21
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    34 days

    Explanation:

    Formula

    The Operating Cycle formula is as follows:

    Operating Cycle = Inventory Period + Accounts Receivable Period

    Inventory Period = 365 / Inventory Turnover

    Where the formula for Inventory Turnover is:

    Inventory Turnover = Cost of Goods Sold / Average Inventory

    The Accounts Receivable Period is calculated as follows:

    Accounts Receivable Period = 365 / Receivables Turnover

    Where the formula for Receivables Turnover is:

    Receivables Turnover = Credit Sales / Average Accounts Receivable

    Therefore, the detailed formula for Operating Cycle is:

    365 / (Cost of Goods Sold / Average Inventory) + 365 / (Credit Sales / Average Accounts Receivable)

    Operating Cycle = [365 / (950,000/45,000) + 365 / (2,000,000/90,000) ]

    Operating Cycle = 17.3 + 16.43 which 33.73 days approximately 34 days
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