, Inc., makes brooms and then sells them door- to-door. Here is the relationship between the number of workers and Nimbus's output during a given day: Workers Output Marginal Product Total Cost Average Total cost Marginal Cost 0. 20 50 90 120 140 150 155 a. Fill in the column of marginal products. What pattern do you see? How might you explain it? b. A worker costs $100 a day, and the firm has fixed costs of $200. Use this information to fill in the column for total cost. c. Fill in the column for average total cost. (Recall that ATC = TC/Q.) What pattern do you see? d. Now fill in the column for marginal cost. (Recall that MC = ATC/AQ.) What pattern 이1234567
, Inc., makes brooms and then sells them door- to-door. Here is the relationship between the number of workers and Nimbus's output during a given day: Workers Output Marginal Product Total Cost Average Total cost Marginal Cost 0. 20 50 90 120 140 150 155 a. Fill in the column of marginal products. What pattern do you see? How might you explain it? b. A worker costs $100 a day, and the firm has fixed costs of $200. Use this information to fill in the column for total cost. c. Fill in the column for average total cost. (Recall that ATC = TC/Q.) What pattern do you see? d. Now fill in the column for marginal cost. (Recall that MC = ATC/AQ.) What pattern 이1234567
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Table Analysis of Nimbus, Inc.
Nimbus, Inc. manufactures brooms and sells them door-to-door. The table below shows the relationship between the number of workers and Nimbus’s output during a given day:
| Workers | Output | Marginal Product | Total Cost | Average Total Cost | Marginal Cost |
|---------|--------|------------------|------------|--------------------|---------------|
| 0 | 0 | ---------------- | | | ------------- |
| 1 | 20 | | | | |
| 2 | 50 | | | | |
| 3 | 90 | | | | |
| 4 | 120 | | | | |
| 5 | 140 | | | | |
| 6 | 150 | | | | |
| 7 | 155 | | | | |
#### Questions for Analysis:
a. **Fill in the column of marginal products. What pattern do you see? How might you explain it?**
b. **A worker costs $100 a day, and the firm has fixed costs of $200. Use this information to fill in the column for total cost.**
c. **Fill in the column for average total cost.** (Recall that ATC = TC/Q.) **What pattern do you see?**
d. **Now fill in the column for marginal cost.** (Recall that MC = ΔTC/ΔQ.) **What pattern do you see?**
e. **Compare the column for marginal product with the column for marginal cost. Explain the relationship.**
f. **Compare the column for average total cost with the column for marginal cost. Explain the relationship.**
### Explanation of Concepts:
- **Marginal Product (MP):** The additional output produced by adding one more worker.
- **Total Cost (TC):** The total of fixed and variable costs. In this case, TC includes the $200 fixed cost plus the cost of workers ($100 per worker).
- **Average Total Cost (ATC):** Total cost divided by the quantity of output produced (ATC = TC/Q).
- **Marginal Cost (MC):** The increase in total cost when output is increased by one unit (MC = ΔTC/ΔQ).
This
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