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The Hernandez Company estimates its cash collections from its sales as follows: 30% cash 70% on account Of the credit sales the collection pattern is

The Hernandez Company estimates its cash collections from its sales as follows:

30% cash

70% on account

Of the credit sales the collection pattern is as follows:

60% in month of sales

80% of these receive a 5% cash discount

20% do not qualify for a discount

30% are collected in month following sale

8% are collected two months after sale

2% are uncollectible

If Si is the sales dollars in month i, (note that i-1 refers to the month prior, and i+1 refers to the upcoming month, etc.) then the cash receipts in month i can be estimated as follows:

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0.3Si + (0.7) (0.6) [(0.8) (0.95)Si + 0.2Si] + (0.7) (0.3)Si+1 + (0.7) (0.08)Si+2

0.3Si + (0.7) (0.6) [(0.8) (0.95)Si + 0.2Si] + (0.7) (0.3)Si-1 + (0.7) (.08)Si-2

0.3Si + (0.7) [(0.6)Si + 0.3Si-1 + 0.08Si-2]

0.3Si + (0.6) (0.8) (0.95)Si + (0.6) (0.2)Si + 0.3Si-1 + 0.08Si-2

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