{"id":43334,"date":"2025-06-29T18:27:13","date_gmt":"2025-06-29T18:27:13","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=43334"},"modified":"2025-06-29T18:27:14","modified_gmt":"2025-06-29T18:27:14","slug":"using-the-following-information-and-the-bardahl-formula-calculate-the-operating-cycle-and-working-capital-needs-of-t","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/using-the-following-information-and-the-bardahl-formula-calculate-the-operating-cycle-and-working-capital-needs-of-t\/","title":{"rendered":"Using the following information and the Bardahl formula, calculate the operating cycle and working capital needs of T"},"content":{"rendered":"\n<p>Using the following information and the Bardahl formula, calculate the operating cycle and working capital needs of T Corporation who has operating expenses of<br>282,000<br>307,000 Ending Inventory 42,500 33,800 36,200 COGS Total 190,000 210,000 240,000 Purchases 171,000 196,000 210,000 Accounts Receivable 48,000 49,000 52,000 Accounts Payable 70,000 67,000 59,000 Inventory Cycle: A\/R Cycle: A\/P Cycle: Total: Working Capital Needs:<\/p>\n\n\n\n<p><strong>The Correct Answer and Explanation<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> <\/mark>is:<\/strong><\/p>\n\n\n\n<p>To calculate the operating cycle and working capital needs for T Corporation, we&#8217;ll first need to compute the following:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>Inventory Cycle:<\/strong><\/h3>\n\n\n\n<p>This refers to the number of days it takes to sell inventory. The formula for the <strong>inventory cycle<\/strong> is: Inventory&nbsp;Cycle=Average&nbsp;InventoryCOGS&nbsp;per&nbsp;Day\\text{Inventory Cycle} = \\frac{\\text{Average Inventory}}{\\text{COGS per Day}}Inventory&nbsp;Cycle=COGS&nbsp;per&nbsp;DayAverage&nbsp;Inventory\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Average Inventory<\/strong> = (Beginning Inventory + Ending Inventory) \/ 2<\/li>\n\n\n\n<li><strong>COGS per Day<\/strong> = COGS \/ 365<\/li>\n<\/ul>\n\n\n\n<p>For <strong>Year 1<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Average Inventory = (42,500 + 33,800) \/ 2 = 38,150<\/li>\n\n\n\n<li>COGS per Day = 190,000 \/ 365 \u2248 520.55<\/li>\n<\/ul>\n\n\n\n<p>Inventory Cycle = 38,150 \/ 520.55 \u2248 73.3 days<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>A\/R Cycle (Accounts Receivable Cycle):<\/strong><\/h3>\n\n\n\n<p>This measures the number of days it takes to collect accounts receivable. The formula for the <strong>A\/R cycle<\/strong> is: A\/R&nbsp;Cycle=Average&nbsp;Accounts&nbsp;ReceivableCredit&nbsp;Sales&nbsp;per&nbsp;Day\\text{A\/R Cycle} = \\frac{\\text{Average Accounts Receivable}}{\\text{Credit Sales per Day}}A\/R&nbsp;Cycle=Credit&nbsp;Sales&nbsp;per&nbsp;DayAverage&nbsp;Accounts&nbsp;Receivable\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Average Accounts Receivable<\/strong> = (Beginning Accounts Receivable + Ending Accounts Receivable) \/ 2<\/li>\n\n\n\n<li><strong>Credit Sales per Day<\/strong> = Total Sales \/ 365 (assuming total sales can be approximated as COGS)<\/li>\n<\/ul>\n\n\n\n<p>For <strong>Year 1<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Average Accounts Receivable = (48,000 + 49,000) \/ 2 = 48,500<\/li>\n\n\n\n<li>Credit Sales per Day = 190,000 \/ 365 \u2248 520.55<\/li>\n<\/ul>\n\n\n\n<p>A\/R Cycle = 48,500 \/ 520.55 \u2248 93.2 days<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>A\/P Cycle (Accounts Payable Cycle):<\/strong><\/h3>\n\n\n\n<p>This measures the number of days it takes to pay accounts payable. The formula for the <strong>A\/P cycle<\/strong> is: A\/P&nbsp;Cycle=Average&nbsp;Accounts&nbsp;PayablePurchases&nbsp;per&nbsp;Day\\text{A\/P Cycle} = \\frac{\\text{Average Accounts Payable}}{\\text{Purchases per Day}}A\/P&nbsp;Cycle=Purchases&nbsp;per&nbsp;DayAverage&nbsp;Accounts&nbsp;Payable\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Average Accounts Payable<\/strong> = (Beginning Accounts Payable + Ending Accounts Payable) \/ 2<\/li>\n\n\n\n<li><strong>Purchases per Day<\/strong> = Purchases \/ 365<\/li>\n<\/ul>\n\n\n\n<p>For <strong>Year 1<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Average Accounts Payable = (70,000 + 67,000) \/ 2 = 68,500<\/li>\n\n\n\n<li>Purchases per Day = 171,000 \/ 365 \u2248 469.86<\/li>\n<\/ul>\n\n\n\n<p>A\/P Cycle = 68,500 \/ 469.86 \u2248 146.1 days<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. <strong>Total Operating Cycle:<\/strong><\/h3>\n\n\n\n<p>The <strong>operating cycle<\/strong> is the total time it takes for a company to convert its inventory into cash. It is the sum of the Inventory Cycle and the A\/R Cycle: Operating&nbsp;Cycle=Inventory&nbsp;Cycle+A\/R&nbsp;Cycle\\text{Operating Cycle} = \\text{Inventory Cycle} + \\text{A\/R Cycle} Operating&nbsp;Cycle=Inventory&nbsp;Cycle+A\/R&nbsp;Cycle<\/p>\n\n\n\n<p>Operating Cycle = 73.3 + 93.2 \u2248 166.5 days<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. <strong>Working Capital Needs:<\/strong><\/h3>\n\n\n\n<p>Working capital is the capital needed to fund the operating cycle. The formula for <strong>working capital needs<\/strong> is: Working&nbsp;Capital&nbsp;Needs=Operating&nbsp;Cycle\u00d7Average&nbsp;Daily&nbsp;Operating&nbsp;Expenses\\text{Working Capital Needs} = \\text{Operating Cycle} \\times \\text{Average Daily Operating Expenses}Working&nbsp;Capital&nbsp;Needs=Operating&nbsp;Cycle\u00d7Average&nbsp;Daily&nbsp;Operating&nbsp;Expenses<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Average Daily Operating Expenses<\/strong> = Operating Expenses \/ 365<\/li>\n<\/ul>\n\n\n\n<p>For <strong>Year 1<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Average Daily Operating Expenses = 282,000 \/ 365 \u2248 772.60<\/li>\n<\/ul>\n\n\n\n<p>Working Capital Needs = 166.5 * 772.60 \u2248 128,314.90<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of Calculations:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Inventory Cycle<\/strong>: 73.3 days<\/li>\n\n\n\n<li><strong>A\/R Cycle<\/strong>: 93.2 days<\/li>\n\n\n\n<li><strong>A\/P Cycle<\/strong>: 146.1 days<\/li>\n\n\n\n<li><strong>Operating Cycle<\/strong>: 166.5 days<\/li>\n\n\n\n<li><strong>Working Capital Needs<\/strong>: 128,314.90<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-474.jpeg\" alt=\"\" class=\"wp-image-43344\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-474.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-474-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-474-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-474-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Using the following information and the Bardahl formula, calculate the operating cycle and working capital needs of T Corporation who has operating expenses of282,000307,000 Ending Inventory 42,500 33,800 36,200 COGS Total 190,000 210,000 240,000 Purchases 171,000 196,000 210,000 Accounts Receivable 48,000 49,000 52,000 Accounts Payable 70,000 67,000 59,000 Inventory Cycle: A\/R Cycle: A\/P Cycle: Total: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-43334","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43334","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=43334"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43334\/revisions"}],"predecessor-version":[{"id":43346,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43334\/revisions\/43346"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}