Soru

Zorluk: ZorWages, Salaries, and Commissions

A commercial diver earns a base rate of $45.00\$45.00 per hour for the first 4040 hours worked in a week, time-and-a-half for the next 1010 hours (hours 4141 through 5050), and double time for any hours worked beyond 5050 hours. Additionally, the diver receives a $125\$125 hazard bonus for each dive exceeding a depth of 100100 feet. Last week, the diver logged a total of 5454 hours of work and completed 33 dives that exceeded 100100 feet in depth. Based on this information, calculate the diver's total gross pay for the week.

Cevap:The diver's total gross pay for the week is $\$ 【3210】.

Cevap

The total gross pay is $3,210\$3,210.
The correct answer accurately divides the 54 total hours into three distinct pay tiers: 40 hours at the base rate ($1,800\$1,800), 10 hours at 1.5x ($675\$675), and 4 hours at 2x ($360\$360). It then correctly adds the flat hazard bonus of $375\$375 (3×$1253 \times \$125) to reach the final gross pay of $3,210\$3,210.

Adım Adım Çözüm

1
Calculate the standard pay for the first 40 hours.
$1,800\$1,800
$45.00×40=$1,800\$45.00 \times 40 = \$1,800
2
Calculate the time-and-a-half pay for the next 10 hours.
$675\$675
The time-and-a-half rate is $45.00×1.5=$67.50\$45.00 \times 1.5 = \$67.50. For 10 hours, this is $67.50×10=$675\$67.50 \times 10 = \$675.
3
Calculate the double time pay for the remaining hours over 50.
$360\$360
The diver worked 54 total hours, so 4 hours are paid at double time. The rate is $45.00×2=$90.00\$45.00 \times 2 = \$90.00. For 4 hours, this is $90.00×4=$360\$90.00 \times 4 = \$360.
4
Calculate the total hazard bonuses earned.
$375\$375
The diver completed 3 deep dives at $125\$125 each. 3×$125=$3753 \times \$125 = \$375.
5
Sum all compensation components to find the total gross pay.
$3,210\$3,210
$1,800+$675+$360+$375=$3,210\$1,800 + \$675 + \$360 + \$375 = \$3,210

Anahtar Kavram

Calculating multi-tiered compensation involving standard wages, multiple overtime multipliers, and piecework bonuses.
Tahmini Süre:2m 0s
Bu soruyu puanla