Answer of Part a:
Inventory Period = 365 days * Average Inventory / Cost of Goods
Sold
Inventory Period = 365 * $5,000,000 / $15,000,000
Inventory Period = 121.67 days
Receivable Period = 365 days * Average Receivable / Sales
Receivable Period = 365 * $3,000,000 / $20,000,000
Receivable Period = 54.75 days
Payable Period = 365 days * Average Payable / Cost of Goods
Sold
Payable Period = 365 * $2,000,000 / $15,000,000
Payable Period = 48.67 days
Answer of Part b:
Operating Cycle = Inventory Period + Accounts Receivable
Period
Operating Cycle = 121.67 days + 54.75 days
Operating Cycle = 176.42 days
Cash Cycle = Inventory Period + Receivable Period – Payable
Period
Cash Cycle = 121.67 days + 54.75 days – 48.67 days
Cash Cycle = 127.75 days
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Average cash $56,250 Average accounts payable $540,000 Average accounts receivable $1,350,000 Average inventories $675,000 Average cash sales $4,500,000 Average credit sales $13,500,000 Average cost of goods sold $8,100,000 Average number of days per year 365 days Inventory conversion period 30.42 days Payables deferral period 1. days A. 24 B. 24.33 C. 10.95.? Receivables conversion period 2. days A 36.5 B. 36 C. 27.38 ? Cash conversion cycle 3. days A. 54.75 B. 91.25 C. 42.59 ?
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