The marginal product of labor can be determined using the total product of labor curve. Using the equation for the production function, q= 8LK + 5L² - (3) L³. the level of output when L=8 and K=25 is. (Enter a numeric response using a real number rounded to two decimal places). Product or Output (q) 3,500- 3,000- 2,500- 2,000+ 1,500- 1,000- 500- 0- 0 Production Function 1 is 2 15 10 15 Labor Input (L) 20 Q
The marginal product of labor can be determined using the total product of labor curve. Using the equation for the production function, q= 8LK + 5L² - (3) L³. the level of output when L=8 and K=25 is. (Enter a numeric response using a real number rounded to two decimal places). Product or Output (q) 3,500- 3,000- 2,500- 2,000+ 1,500- 1,000- 500- 0- 0 Production Function 1 is 2 15 10 15 Labor Input (L) 20 Q
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![**Transcription:**
The marginal product of labor can be determined using the total product of labor curve.
Using the equation for the production function,
\[ q = 8LK + 5L^2 - \left(\frac{1}{3}\right)L^3, \]
the level of output when L = 8 and K = 25 is \(\_\). *(Enter a numeric response using a real number rounded to two decimal places).*
**Graph/Diagram Explanation:**
The graph on the right is labeled "Production Function" and displays "Product Output (Q)" on the vertical axis and "Labor Input (L)" on the horizontal axis.
- The curve is a blue line that slopes upward initially and then curves downward, showing a typical production function with increasing and then decreasing returns to labor input.
- Important points are marked:
- Point 1 is at L = 8 with a corresponding Q value slightly above 1,500, indicating the output level at this labor input.
- Point 2 is at the peak of the curve, around L = 15, where Q is close to 3,000, showing the maximum output level before diminishing returns set in.
Grid lines assist in identifying precise values on the axes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1858a710-c111-4513-9004-6c10bf7d1d6e%2Fa739be9a-cc1f-47bf-b742-a8d1e861aaa2%2Fxmcr8p8_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription:**
The marginal product of labor can be determined using the total product of labor curve.
Using the equation for the production function,
\[ q = 8LK + 5L^2 - \left(\frac{1}{3}\right)L^3, \]
the level of output when L = 8 and K = 25 is \(\_\). *(Enter a numeric response using a real number rounded to two decimal places).*
**Graph/Diagram Explanation:**
The graph on the right is labeled "Production Function" and displays "Product Output (Q)" on the vertical axis and "Labor Input (L)" on the horizontal axis.
- The curve is a blue line that slopes upward initially and then curves downward, showing a typical production function with increasing and then decreasing returns to labor input.
- Important points are marked:
- Point 1 is at L = 8 with a corresponding Q value slightly above 1,500, indicating the output level at this labor input.
- Point 2 is at the peak of the curve, around L = 15, where Q is close to 3,000, showing the maximum output level before diminishing returns set in.
Grid lines assist in identifying precise values on the axes.
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