Ms. Jones works a total of 12 hours per day to produce lacquered wicker baskets for a local crafts store.  Total material cost for each wicker basket is $3.50; she has to invest $20 in the necessary supplies (expendables) per day; energy costs are assumed to be $4.00 per day; and she makes $11 per hour for her labor.  Currently, she produces 240 wicker baskets per day.  She thinks that by re-engineering the assembly process she can increase her rate to 300 wicker baskets per day.  
What is her approximate daily productivity per labor dollar at present? (round to three decimal places)




To determine Ms. Jones' **daily productivity per labor dollar**, we first need to calculate how much she produces relative to her labor costs. Here's a step-by-step breakdown:

### Step 1: Calculate the total labor cost per day
Ms. Jones works **12 hours per day**, and she earns **$11 per hour**. So her total daily labor cost is:
\[
\text{Labor Cost} = 12 \times 11 = 132 \, \text{dollars/day}
\]

### Step 2: Calculate the total number of wicker baskets produced per day
Currently, she produces **240 wicker baskets per day**.

### Step 3: Calculate productivity per labor dollar
Productivity per labor dollar is the number of baskets produced per day divided by the labor cost per day:
\[
\text{Productivity per labor dollar} = \frac{\text{Number of baskets produced per day}}{\text{Labor cost per day}} = \frac{240}{132}
\]
Now, let’s compute that:

\[
\frac{240}{132} \approx 1.818
\]

Thus, **her daily productivity per labor dollar is approximately 1.818** wicker baskets per dollar.

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Would you like further details or have any questions?

Here are 5 related questions for exploration:
1. What would be her productivity per labor dollar if she produces 300 baskets per day?
2. How do her overall daily expenses change if her basket production increases?
3. What is her total cost per basket at her current production level?
4. How does changing the assembly process affect her total daily profit?
5. What is the breakeven point for material, supply, and energy costs compared to her revenue?

**Tip:** When analyzing productivity, always consider both labor and material costs to get a complete picture of profitability.

Ms. Jones works a total of 12 hours per day to produce lacquered wicker baskets for a local crafts store. Total material cost for each wicker basket is $3.50; she has to invest $20 in the necessary supplies (expendables) per day; energy costs are assumed to be $4.00 per day; and she makes $11 per hour for her labor. Currently, she produces 240 wicker baskets per day. She thinks that by re-engineering the assembly process she can increase her rate to 300 wicker baskets per day. What is her approximate daily productivity per labor dollar at present? (round to three decimal places)

Learn how to calculate the daily productivity per labor dollar for Ms. Jones, who produces 240 wicker baskets per day, working 12 hours at $11 per hour. This problem involves using division and linear equations to determine productivity based on current production rates. Suitable for Grades 10-12.

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