A. CI 2,000. 8. Ci-2,000 - 8004 Cig- 2,000 - 1250 14 16 Ci OE Ci-2,000 . Quartty 1250 wite down the equation for the pply oure The supply curve OA paso. OB P-2,000 - 0e OC. P-200 OD P-500 OR P-100 If price is Se00, how many unit wil the frm produca The fim wil produce nits of ouput (Enter your ponse rounded to two decimal places) 2000 1200- What is the level of prot trepan ad yog

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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**Transcription for Educational Website**

**Suppose that a firm's production function is:**

\[ q = 5x^{0.5} \]

In the short run, where there are fixed costs of $2,000, and \( x \) is the variable input whose cost is $1,250 per unit.

**What is the total cost of producing a level of output \( q \)? In other words, identify the total cost function \( C(q) \).**

**The total cost of producing a level of output \( q \) is:**

- A. \( C(q) = 2,000 \)
- B. \( C(q) = 2,000 + \frac{q^2}{5} \)
- C. \( C(q) = 2,000 + \frac{q^2}{25} \)
- D. \( C(q) = 1,250q^2 \)
- E. \( C(q) = 2,000 + \frac{1250q^2}{25} \)

**Write down the equation for the supply curve.**

---

**The supply curve is:**

- A. \( P = 50q^2 \)
- B. \( P = 2,000 + 50q \)
- C. \( P = 200q \)
- D. \( P = 50q \)
- E. \( P = 100q \)

**If price is $800, how many units will the firm produce?**

The firm will produce _____ units of output. *(Enter your response rounded to two decimal places.)*

**What is the level of profit?**

Profit equals $_____. *(Enter your response rounded to two decimal places.)*

**Illustrate your answer on a cost-curve graph.**

1. **Using the line drawing tool, draw the marginal cost curve. Label it 'MC'.**
2. **Using the point drawing tool, indicate the profit-maximizing quantity at the market price. Label it 'A'.**

*Carefully follow the instructions above, and only draw the required objects.*

**Graphs Description:**

The images contain two graphs, each with the y-axis labeled "Dollars per unit of output" and the x-axis labeled "Quantity." Both graphs use a grid with intervals of 2 for both axes, ranging from 0 to 20 on the x-axis and 0 to
Transcribed Image Text:**Transcription for Educational Website** **Suppose that a firm's production function is:** \[ q = 5x^{0.5} \] In the short run, where there are fixed costs of $2,000, and \( x \) is the variable input whose cost is $1,250 per unit. **What is the total cost of producing a level of output \( q \)? In other words, identify the total cost function \( C(q) \).** **The total cost of producing a level of output \( q \) is:** - A. \( C(q) = 2,000 \) - B. \( C(q) = 2,000 + \frac{q^2}{5} \) - C. \( C(q) = 2,000 + \frac{q^2}{25} \) - D. \( C(q) = 1,250q^2 \) - E. \( C(q) = 2,000 + \frac{1250q^2}{25} \) **Write down the equation for the supply curve.** --- **The supply curve is:** - A. \( P = 50q^2 \) - B. \( P = 2,000 + 50q \) - C. \( P = 200q \) - D. \( P = 50q \) - E. \( P = 100q \) **If price is $800, how many units will the firm produce?** The firm will produce _____ units of output. *(Enter your response rounded to two decimal places.)* **What is the level of profit?** Profit equals $_____. *(Enter your response rounded to two decimal places.)* **Illustrate your answer on a cost-curve graph.** 1. **Using the line drawing tool, draw the marginal cost curve. Label it 'MC'.** 2. **Using the point drawing tool, indicate the profit-maximizing quantity at the market price. Label it 'A'.** *Carefully follow the instructions above, and only draw the required objects.* **Graphs Description:** The images contain two graphs, each with the y-axis labeled "Dollars per unit of output" and the x-axis labeled "Quantity." Both graphs use a grid with intervals of 2 for both axes, ranging from 0 to 20 on the x-axis and 0 to
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