Math Problem Statement
Silver Company makes a product with peak sales in May of each year. Its sales budget for the second quarter is given below:
April May June Total
Budgeted sales (all on account) $ 360,000 $ 560,000 $ 220,000 $ 1,140,000 The company estimates 30% of a month’s sales are collected in the month of sale, another 60% are collected in the month following sale, and the remaining 10% are collected in the second month following sale. Bad debts are negligible and can be ignored. February sales totaled $290,000, and March sales totaled $320,000.
Required: Prepare a schedule of expected cash collections from sales, by month and in total, for the second quarter. What is the accounts receivable balance on June 30th?
Solution
Let's break down the problem step by step, preparing the schedule of expected cash collections from sales for the second quarter and determining the accounts receivable balance on June 30th.
Sales Data and Percentages for Collection:
-
Sales:
- February: $290,000
- March: $320,000
- April: $360,000
- May: $560,000
- June: $220,000
-
Collection Percentages:
- 30% collected in the month of sale.
- 60% collected in the month after the sale.
- 10% collected two months after the sale.
Schedule of Expected Cash Collections:
Month | From February | From March | From April | From May | From June | Total Cash Collections |
---|---|---|---|---|---|---|
April | $29,000 | $192,000 | $108,000 | - | - | $329,000 |
May | - | $32,000 | $216,000 | $168,000 | - | $416,000 |
June | - | - | $36,000 | $336,000 | $66,000 | $438,000 |
Total | $29,000 | $224,000 | $360,000 | $504,000 | $66,000 | $1,183,000 |
Breakdown of Collections:
-
From February sales ($290,000):
- 10% collected in April:
-
From March sales ($320,000):
- 60% collected in April:
- 10% collected in May:
-
From April sales ($360,000):
- 30% collected in April:
- 60% collected in May:
- 10% collected in June:
-
From May sales ($560,000):
- 30% collected in May:
- 60% collected in June:
-
From June sales ($220,000):
- 30% collected in June:
Accounts Receivable Balance on June 30th:
-
From May sales ($560,000):
- 10% still uncollected in June, will be collected in July:
-
From June sales ($220,000):
- 70% remains uncollected at the end of June:
- 60% to be collected in July:
- 10% to be collected in August:
- 70% remains uncollected at the end of June:
Thus, the total accounts receivable balance on June 30th is:
Final Answer Summary:
- Total cash collections for the second quarter: $1,183,000
- Accounts receivable balance on June 30th: $210,000
Do you want any further explanation, or have any specific questions?
Here are 5 additional questions related to this topic:
- How would changes in collection percentages affect the accounts receivable balance?
- What if the company had significant bad debts; how would this impact cash collections?
- How does the sales cycle timing impact cash flow management?
- How would early payment discounts alter the collection schedule?
- How might delayed payments influence the company’s liquidity in future months?
Tip: Always monitor your collection trends to predict and manage cash flow efficiently.
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Math Problem Analysis
Mathematical Concepts
Percentage calculations
Cash collections
Accounts receivable
Formulas
Cash collections = (Month’s sales × 30%) + (Previous month's sales × 60%) + (Sales from two months ago × 10%)
Accounts receivable balance = Sales yet to be collected by month’s end
Theorems
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Suitable Grade Level
Grades 9-12
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