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The Model Company is to begin operations in April. It has budgeted April sales of $70,000, May sales of $74,000, June sales of $80,000, July sales of $82,000, and August sales of $78,000. Note that 10% of each month's sales is expected to represent cash sales; 75% of the balance is expected to be collected in the month following the sale, 17% the second month, 6% the third month, and the balance is expected to be uncollectible.The Model Company is considering charging 1 1/2% on any balance that is not collected in the month following the month of sale. This charge would also change the collection percentages to 15% cash sales, 80% of the balance collected in the month following the sale, 16% the second month, and 3% the third month. This stricter credit policy will reduce the estimated sales budgets by 7% each month. Under this stricter credit policy, what is the amount of cash to be collected in July?Multiple Choice$77,157$73,216$71,338$79,191

Question

The Model Company is to begin operations in April. It has budgeted April sales of 70,000,Maysalesof70,000, May sales of 74,000, June sales of 80,000,Julysalesof80,000, July sales of 82,000, and August sales of 78,000.Notethat1078,000. Note that 10% of each month's sales is expected to represent cash sales; 75% of the balance is expected to be collected in the month following the sale, 17% the second month, 6% the third month, and the balance is expected to be uncollectible.The Model Company is considering charging 1 1/2% on any balance that is not collected in the month following the month of sale. This charge would also change the collection percentages to 15% cash sales, 80% of the balance collected in the month following the sale, 16% the second month, and 3% the third month. This stricter credit policy will reduce the estimated sales budgets by 7% each month. Under this stricter credit policy, what is the amount of cash to be collected in July?Multiple Choice77,15773,21673,21671,338$79,191

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Solution

To solve this problem, we first need to calculate the new sales budgets under the stricter credit policy. This is done by reducing the original sales budgets by 7% each month.

For July, the original sales budget is 82,000.Reducingthisby782,000. Reducing this by 7% gives us a new sales budget of 82,000 - (82,0000.07)=82,000 * 0.07) = 76,260.

Next, we need to calculate the amount of cash to be collected in July. According to the stricter credit policy, 15% of each month's sales represent cash sales, 80% of the balance is collected in the month following the sale, 16% the second month, and 3% the third month.

So, the cash to be collected in July would be:

  • 15% of July sales: 76,2600.15=76,260 * 0.15 = 11,439
  • 80% of June sales: 80,0000.07=80,000 * 0.07 = 5,600 * 0.80 = $4,480
  • 16% of May sales: 74,0000.07=74,000 * 0.07 = 5,180 * 0.16 = $829
  • 3% of April sales: 70,0000.07=70,000 * 0.07 = 4,900 * 0.03 = $147

Adding these amounts together gives us a total of 11,439+11,439 + 4,480 + 829+829 + 147 = $16,895.

Therefore, under the stricter credit policy, the amount of cash to be collected in July is $16,895. This is not one of the options given in the multiple choice question, so there may be a mistake in the question or in my calculations.

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