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:

  1. Sales:

    • February: $290,000
    • March: $320,000
    • April: $360,000
    • May: $560,000
    • June: $220,000
  2. 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:

MonthFrom FebruaryFrom MarchFrom AprilFrom MayFrom JuneTotal 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: 290,000×10%=29,000290,000 \times 10\% = 29,000
  • From March sales ($320,000):

    • 60% collected in April: 320,000×60%=192,000320,000 \times 60\% = 192,000
    • 10% collected in May: 320,000×10%=32,000320,000 \times 10\% = 32,000
  • From April sales ($360,000):

    • 30% collected in April: 360,000×30%=108,000360,000 \times 30\% = 108,000
    • 60% collected in May: 360,000×60%=216,000360,000 \times 60\% = 216,000
    • 10% collected in June: 360,000×10%=36,000360,000 \times 10\% = 36,000
  • From May sales ($560,000):

    • 30% collected in May: 560,000×30%=168,000560,000 \times 30\% = 168,000
    • 60% collected in June: 560,000×60%=336,000560,000 \times 60\% = 336,000
  • From June sales ($220,000):

    • 30% collected in June: 220,000×30%=66,000220,000 \times 30\% = 66,000

Accounts Receivable Balance on June 30th:

  • From May sales ($560,000):

    • 10% still uncollected in June, will be collected in July: 560,000×10%=56,000560,000 \times 10\% = 56,000
  • From June sales ($220,000):

    • 70% remains uncollected at the end of June:
      • 60% to be collected in July: 220,000×60%=132,000220,000 \times 60\% = 132,000
      • 10% to be collected in August: 220,000×10%=22,000220,000 \times 10\% = 22,000

Thus, the total accounts receivable balance on June 30th is: A/R on June 30=56,000(from May)+132,000(from June for July)+22,000(from June for August)=210,000\text{A/R on June 30} = 56,000 \, (\text{from May}) + 132,000 \, (\text{from June for July}) + 22,000 \, (\text{from June for August}) = 210,000


Final Answer Summary:

  1. Total cash collections for the second quarter: $1,183,000
  2. 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:

  1. How would changes in collection percentages affect the accounts receivable balance?
  2. What if the company had significant bad debts; how would this impact cash collections?
  3. How does the sales cycle timing impact cash flow management?
  4. How would early payment discounts alter the collection schedule?
  5. 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