https://file.aiquickdraw.com/mathbot/file/1729088038000nnhkux29.jpg

Let's break this problem down step by step:

### Given Information:
- Cost to make each party tray: **$14.00** (excluding labor)
- Selling price per tray: **$35.00**
- Two workers each work 8-hour shifts at **$7.00 per hour**.

### Labor Costs:
- Each worker earns $7 per hour for 8 hours:
  \[
  \text{Labor cost per worker} = 7 \, \text{dollars/hour} \times 8 \, \text{hours} = 56 \, \text{dollars}.
  \]
  Therefore, for two workers:
  \[
  \text{Total labor cost} = 56 \, \text{dollars} \times 2 = 112 \, \text{dollars}.
  \]

### Profit Per Tray:
- The profit per tray (excluding labor) is the difference between the selling price and the production cost:
  \[
  \text{Profit per tray} = 35 \, \text{dollars} - 14 \, \text{dollars} = 21 \, \text{dollars}.
  \]

### How Many Trays to Cover All Costs:
- To cover the labor costs, we need to divide the total labor cost by the profit per tray:
  \[
  \text{Number of trays} = \frac{112 \, \text{dollars}}{21 \, \text{dollars/tray}} \approx 5.33 \, \text{trays}.
  \]

Since you can't sell a fraction of a tray, you would need to sell **6 trays** to cover all the costs.

### Conclusion:
The answer is **6** trays.

Party trays, which cost $14.00 to make not including labor, are sold for $35.00. If two people work 8-hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor?

Learn how to calculate the number of party trays needed to cover both production and labor costs. This problem involves cost analysis, profit calculation, and division, suitable for high school students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation