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a_sh-v
1 day ago
14

Wichita Industries' sales are 10% cash and 90% on credit. Credit sales are collected as follows: 30% in the month of sale, 50% i

n the next month, and 20% in the following month. On December 31, the accounts receivable balance includes $12,000 from November sales and $42,000 from December sales. Assume that total sales for January are budgeted to be $50,000. What are the expected cash receipts for January from the current and past sales?
A. $18,500.
B. $51,500.
C. $51,900.
D. $55,500.
E. $60,500
Business
1 answer:
arsen [3.2K]1 day ago
4 0

Answer:

E. $60,500

Explanation:

The expected cash inflows for January comprise: 20% of all credit sales from November, 50% of credit sales from December, 100% of cash sales in January, and 30% of credit sales for January.

The $12,000 receivable from November is set to be fully collected in January.

The $42,000 receivable from December corresponds to the 70% to be collected across January and February. The amount collected in January is:

AR_{Dec}=\$42,000*\frac{0.5}{0.7}\\AR_{Dec}=\$30,000

The amount from cash sales in January is:

Cash_{Jan} = \$50,000*0.1\\Cash_{Jan} = \$5,000\\

From the credit sales in January (30%), the amount is:

Credit_{Jan} = \$50,000*0.9*0.3\\Credit_{Jan} = \$13,500

The total cash inflow (T) received in January sums up as:

T=\$12,000+$30,000+$5,000+$13,500\\T=\$60,500

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