Exercise 9 Marginal product Let Y denote output and L denote labor. Suppose that output is given by Y = 4L1/4. What is the marginal product of labor? That is, what is Y' = dy dL .? What is dy/dL evaluated at L = 16 and L = 17? How does adding an extra worker affect Y? Exercise 10 Thinking marginally For the cost function: ■ find the marginal cost and ■ state the units of measurement. (All costs are in dollars.) 1,000 C(x) = 15,000+ 20x + X Please find C'(x). What are the units of C'?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 9 Marginal product
Let Y denote output and L denote labor. Suppose that output is given by Y = 4L1/4. What is
the marginal product of labor? That is, what is
Y' =
dy
dL
.?
What is dy/dL evaluated at L = 16 and L = 17? How does adding an extra worker affect Y?
Transcribed Image Text:Exercise 9 Marginal product Let Y denote output and L denote labor. Suppose that output is given by Y = 4L1/4. What is the marginal product of labor? That is, what is Y' = dy dL .? What is dy/dL evaluated at L = 16 and L = 17? How does adding an extra worker affect Y?
Exercise 10 Thinking marginally
For the cost function:
■ find the marginal cost and
■ state the units of measurement. (All costs are in dollars.)
1,000
C(x) = 15,000+ 20x +
X
Please find C'(x). What are the units of C'?
Transcribed Image Text:Exercise 10 Thinking marginally For the cost function: ■ find the marginal cost and ■ state the units of measurement. (All costs are in dollars.) 1,000 C(x) = 15,000+ 20x + X Please find C'(x). What are the units of C'?
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