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An excavation crew consists of a hydraulic excavator, four dump trucks, an equipment operator, and four truck drivers. The cost of a hydraulic excavator is $120 per hour and a trucks costs $85 per hour. The operator cost $42 per hour and a truck driver costs $35 per hour. All labor rates include burden. The crew works four 10-hour days per week. Determine the average cost of labor per labor hour and the equipment cost per labor hour for the excavation crew.

Question:

An excavation crew consists of a hydraulic excavator, four dump trucks, an equipment operator, and four truck drivers. The cost of a hydraulic excavator is $120 per hour and a trucks costs $85 per hour. The operator cost $42 per hour and a truck driver costs $35 per hour. All labor rates include burden. The crew works four 10-hour days per week. Determine the average cost of labor per labor hour and the equipment cost per labor hour for the excavation crew.

This is AI generated Response.
Asked by: Md Israrul Haque
Created at: 2025-08-24 21:01:54

Final Answer:

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Let's break down the problem step by step. ### 1. **List the Crew and Equipment** **Crew:** - 1 Equipment Operator: $42/hr - 4 Truck Drivers: $35/hr each **Equipment:** - 1 Hydraulic Excavator: $120/hr - 4 Dump Trucks: $85/hr each ### 2. **Weekly Hours Worked** Each works **4 days × 10 hours/day = 40 hours/week**. ### 3. **Calculate Total Weekly Costs** #### **A. Labor Costs:** - **Operator:** $42/hr × 40 hr = **$1,680/week** - **Truck Drivers:** 4 × $35/hr × 40 hr = 4 × $1,400 = **$5,600/week** - **Total Labor Cost (per week):** $1,680 + $5,600 = **$7,280/week** #### **B. Equipment Costs:** - **Excavator:** $120/hr × 40 hr = **$4,800/week** - **Dump Trucks:** 4 × $85/hr × 40 hr = 4 × $3,400 = **$13,600/week** - **Total Equipment Cost (per week):** $4,800 + $13,600 = **$18,400/week** ### 4. **Total Labor Hours** - **Operator:** 40 hr/week - **Truck Drivers:** 4 × 40 hr = 160 hr/week - **Total Labor Hours (per week):** 40 + 160 = **200 labor hours/week** ### 5. **Average Costs per Labor Hour** #### **A. Average Labor Cost per Labor Hour** \[ \text{Average Labor Cost per Labor Hour} = \frac{\text{Total Labor Cost}}{\text{Total Labor Hours}} = \frac{7,280}{200} = \$36.40 \text{ per labor hour} \] #### **B. Equipment Cost per Labor Hour** \[ \text{Equipment Cost per Labor Hour} = \frac{\text{Total Equipment Cost}}{\text{Total Labor Hours}} = \frac{18,400}{200} = \$92.00 \text{ per labor hour} \] --- ## **Final Answers** ### **Average Labor Cost per Labor Hour:** \[ \boxed{\$36.40} \] ### **Equipment Cost per Labor Hour:** \[ \boxed{\$92.00} \]

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