The Art of Mathematics in Business. Dr Jae K Shim

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The Art of Mathematics in Business - Dr Jae K Shim

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cash collections might look as follows:

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      The following example illustrates how cash collection rates are used to generate a forecast of the cash collection porting of the cash budget.

      Example 2

      The following data are given for Sharpe’s Clothing Store:

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      Past experience based on the aging of accounts receivable indicates that collections normally occur in the following pattern:

      

No collections are made in the month of sales.

      

80 percent of the sales are collected in the second following month.

      

19 percent of sales are collected in the second following month.

      

1 percent of sales are uncollectible.

      The total cash receipts for November and December are computed as follows:

November December
Cash receipts
Cash sales $ 8,000 $ 6,000
Cash collections
September sales
$50,000 × 19% 9,500
October sales
$48,000 × 80% 38,400
$48,000 × 19% 9,120
November sales
$62,000 × 80% 49,600
Total cash receipts $55,900 $64,720

      How is it used and applied?

      The forecasting of cash collections is important in predicting whether sufficient cash will be available to meet expenditure needs. Further, the more quickly cash is received from customers, the less is the risk of noncollection. In addition, a return can be earned on the cash received early.

      Introduction

      Managers make decisions in the fact of uncertainty or risk. The environments in which they operate are subject to change without notice. It is therefore advisable to set up “what-if: scenarios and analyze them with the aid of computer software.

      How is it computed?

      Many “what-if” scenarios can be evaluated using the concepts of contribution margin as a tool for profit planning. Contribution margin is the difference between sales and the variable cost of a product or service; it is the amount of money available to cover fixed costs and generate profits.

      Example 1

      To illustrate a ‘what-if: analysis, consider the following data for the Allison Toy Store:

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      Let us suppose that, in an effort to stimulate sales, the owner is considering cutting the unit price by $5 and increasing the advertising budget by $1000. If these two steps be taken? To answer the question, you may construct a proposed income statement as follows:

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      The answer is yes, since these two steps will increase net income by $500.

      Example 2

      Delta Gamma Manufacturing wishes to prepare a 3-year projection on net income using the following information:

      1.20×8 base-year amounts are as follows:

Sales revenues $4,500,000
Cost of sales 2,900,000
Selling and administrative expenses 800,000
Net income before taxes 800,000

      2.Using the following “what-if: assumptions:

      

Sales revenues increase by 6 percent in 20×9, 7 percent in 20×10, and 8 percent in 20×11.

      

Cost of sales increases by 5 percent each year.

      

Selling and administrative expenses increase only 1 percent in 20×9 and will remain at the 20×9 level thereafter.

      

The income tax rate is 46 percent.

      Figure 13.1 shows a spreadsheet for the pro forma income statement for the next 3 years. Using a spreadsheet program such as Excel allows managers to evaluate various “what-if” scenarios.

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      Can a Computer Help?

      Performing “what-if: analyses without the aid of a computer is almost impossible. “What-if” software includes:

      1.Spreadsheet programs such as: Lotus 1-2-3, Microsoft’s Excel, and Quattro Pro.

      2.Cash management and accounting software such as Quicken and Up Your Cash Flow.

      3.Decision-support and budgeting software such as: Adaptive Planning, ®Risk, and BudgetMaestro.

      How is it used and applied?

      The

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