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Zorluk: ZorWages, Salaries, and Commissions

A sales representative earns a base monthly salary of 2,400.Theyalsoearnacommissionbasedontheirtotalmonthlysalesvolume.Thecommissionstructureisasfollows:−2,400. They also earn a commission based on their total monthly sales volume. The commission structure is as follows: - 4\%onthefirst on the first 15,000 of sales
- 6%6\% on the next 25,000ofsales−25,000 of sales - 8.5\%onanysalesexceeding on any sales exceeding 40,000

In addition, if their total monthly sales exceed 50,000,theyreceiveaone−timeperformancebonusof50,000, they receive a one-time performance bonus of 750. Last month, the representative had a total sales volume of $54,200. What was the representative's total gross income for the month?

Cevap: 6457 $

Cevap

6457
The correct gross income is found by calculating the commission for each tier separately (600forthefirsttier,600 for the first tier, 1,500 for the second tier, and 1,207forthethirdtier),summingthemtogetatotalcommissionof1,207 for the third tier), summing them to get a total commission of 3,307, and then adding the base salary of 2,400andthe2,400 and the 750 performance bonus (awarded since sales exceeded 50,000)forafinaltotalof50,000) for a final total of 6,457.

Adım Adım Çözüm

1
Calculate the commission for the first tier (0to0 to 15,000).
15,000×0.04=15,000 \times 0.04 = 600
The representative earns a 4% commission on the first $15,000 of sales.
2
Calculate the commission for the second tier (the next $25,000).
25,000×0.06=25,000 \times 0.06 = 1,500
The 6% rate applies to the next 25,000ofsales(coveringsalesfrom25,000 of sales (covering sales from 15,000 to $40,000).
3
Calculate the commission for the third tier (sales exceeding $40,000).
54,200−54,200 - 40,000 = 14,200.14,200. 14,200 \times 0.085 = $1,207
The 8.5% rate applies to any sales exceeding the $40,000 threshold.
4
Sum the total commission.
600+600 + 1,500 + 1,207=1,207 = 3,307
Adding the amounts from all three tiers gives the total commission earned.
5
Calculate the total gross income by adding the base salary, total commission, and the performance bonus.
2,400+2,400 + 3,307 + 750=750 = 6,457
Total sales (54,200)exceededthe54,200) exceeded the 50,000 threshold, so the $750 bonus is awarded. Gross income includes base pay, total commission, and the bonus.

Anahtar Kavram

Calculating tiered commissions, applying percentages to multiple thresholds, and combining various income streams.
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