Pregunta
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Choose the method of pay that would result in the most earnings for one month on sales of \( \$ 60,000 \). a. Straight commission of \( 6 \% \) on all sales. b. Monthly salary of \( \$ 1,500 \) plus \( 3 \% \) commission on all sales. c. Graduated commission of \( 4 \% \) on the first \( \$ 50,000 \) in sales and \( 10 \% \) on anything over that. d. Graduated commission of \( 5 \% \) on the first \( \$ 40,000 \) in sales and \( 9 \% \) on anything over that. Please select the best answer from the choices provided A

Ask by Coles Little. in the United States
Mar 11,2025

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Option d results in the highest earnings of \$3,800 for the month.

Solución

1. **Straight commission:** The total commission is calculated as \[ 0.06 \times 60{,}000 = 3{,}600. \] 2. **Monthly salary plus commission:** The total pay is the sum of a fixed salary and a commission: \[ 1{,}500 + (0.03 \times 60{,}000) = 1{,}500 + 1{,}800 = 3{,}300. \] 3. **Graduated commission (first \( \$50{,}000 \) at \( 4\% \), remainder at \( 10\% \)):** Commission for the first \( \$50{,}000 \): \[ 0.04 \times 50{,}000 = 2{,}000. \] Commission for the remaining \( \$10{,}000 \) (since \( 60{,}000 - 50{,}000 = 10{,}000 \)): \[ 0.10 \times 10{,}000 = 1{,}000. \] Total commission: \[ 2{,}000 + 1{,}000 = 3{,}000. \] 4. **Graduated commission (first \( \$40{,}000 \) at \( 5\% \), remainder at \( 9\% \)):** Commission for the first \( \$40{,}000 \): \[ 0.05 \times 40{,}000 = 2{,}000. \] Commission for the remaining \( \$20{,}000 \) (since \( 60{,}000 - 40{,}000 = 20{,}000 \)): \[ 0.09 \times 20{,}000 = 1{,}800. \] Total commission: \[ 2{,}000 + 1{,}800 = 3{,}800. \] Comparing all results: - Option a: \( \$3{,}600 \) - Option b: \( \$3{,}300 \) - Option c: \( \$3{,}000 \) - Option d: \( \$3{,}800 \) The highest earnings come from option d.

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To determine which payment method results in the most earnings for sales of \( \$60,000 \), let's calculate each option: a. Straight commission of \( 6\% \) on all sales: \[ 0.06 \times 60,000 = \$3,600 \] b. Monthly salary of \( \$1,500 \) plus \( 3\% \) commission on all sales: \[ 1,500 + (0.03 \times 60,000) = 1,500 + 1,800 = \$3,300 \] c. Graduated commission of \( 4\% \) on the first \( \$50,000 \) and \( 10\% \) on anything over that: \[ (0.04 \times 50,000) + (0.10 \times 10,000) = 2,000 + 1,000 = \$3,000 \] d. Graduated commission of \( 5\% \) on the first \( \$40,000 \) and \( 9\% \) on anything over that: \[ (0.05 \times 40,000) + (0.09 \times 20,000) = 2,000 + 1,800 = \$3,800 \] Comparing all options, we find: a. \( \$3,600 \) b. \( \$3,300 \) c. \( \$3,000 \) d. \( \$3,800 \) The method that results in the most earnings is **a**, the straight commission of \( 6\% \) on all sales, yielding \( \$3,600 \).

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