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Prep, Shoes a national shoe store chain, had sales of $200 million last year. The business has net profit after tax of $20 million and a dividend payout ratio of 50 percent. The balance sheet for the end of last year is shown below:

Balance Sheet

December 31, 2015 ($ millions)

Assets                                                                                                                  Liabilities and shareholders' Equity

Cash                                     $7                                                                          Accounts Payable                           $55        

Accounts receivable      28                                                                                 Accrued Expenses                    15

Inventory                           60                                                                    Other payables                                     20

Plant and equipment    115                                                                        Common Stock                                30          

Total Assets                      $210                                                                      Retained earnings                          90

                                                                                                                               Total Liabilities and Equity         $210

Harvard's anticipates a sales increase of 30 percent next year due to new products.

All balance sheet items are expected to maintain the same percent of scale relationships as last year, expect for plant and equipment, common stock and retained earnings. No change in the common shares outstanding is scheduled, and retained earnings will change as directed by the profits and divided policy of the firm. Using the percent of sales approach,

a. What will be increase in retained earnings next year?

b. Will external financing be required for the prep Shop during the coming year? Show all calculations.

c. If days in A/R Decrease by 5 days what effect will this have on financing needs

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