$ 4,869,000;
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The first step in calculating the cash collections for Q2 is to calculate the total credit sales for Q1 and Q2.
Total credit sales for Q1 = 60% x $25 x 180,000 = $2,700,000
Total credit sales for Q2 = 82% x $25 x 198,000 = $4,059,000 ($25 is multiplied by 198,000 because sales are expected to increase by 18,000 units each quarter).
Of the credit sales in Q1, 30% will be collected in Q1 and 70% will be collected in Q2. Therefore, cash collections from credit sales in Q2 related to Q1 sales will be:
$2,700,000 x 70% = $1,890,000
For the credit sales in Q2, 70% is expected to be collected in Q2 and the remaining 30% will be collected in Q3. Therefore, cash collections from credit sales in Q2 will be:
$4,059,000 x 70% = $2,841,300
The total cash collections for Q2 will be:
Cash collections from Q1 credit sales + Cash collections from Q2 credit sales = $1,890,000 + $2,841,300 = $4,731,300
However, the question is asking for the cash collections for Q2, so we need to subtract the credit sales for Q2 that will be collected in Q3:
$4,731,300 - ($4,059,000 x 30%) = $4,731,300 - $1,217,700 = $3,513,600
Therefore, the correct answer is $4,869,000.