rmine the marginal cost, m at is the approximate chang of producing q units of a ge
rmine the marginal cost, m at is the approximate chang of producing q units of a ge
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
4
![1.
Find the linear approximation of F(N) = AK“N®, about N = 1
2. The cost of producing q units of good is C(q) = 0.1q? + 3q + 100 pesos. The firm can sell q units when the price is p(q) =
25 – 0.05q pesos per unit. (Hint: Marginal Cost is C'(q))
Determine the marginal cost, marginal revenue and marginal profit. (Hint: p(q) is not the revenue function).
What is the approximate change in cost and revenue when the quantity increases from 20 to 25?
a.
b.
The cost of producing q units of a good is C(q) = 50q + 500, and the firm sells q units at p(q) = 500 – 2q.
Determine the approximate change in profit when quantity sold changes from 115 to 120. How different is the actual
change and the approximate change from each other?
3.
4. Consider a three-sector economy, Y = C +1+G, where both consumption and investment are a function of income.
Consumption is defined as C = a+ bY and I = e + dY
Determine the equilibrium level of income.
What is the government multiplier? (Hint: getting the derivative of the equilibrium income wrt G)
Given that 56% of income is use on consumption, and 12% of income is used on investment. Determine the value
for the multiplier effect.
If government spending increases by 168, determine the change in equilibrium income.
а.
b.
C..
d.
* Determine the total differential of z,
5.
x - y
z = f(x, y) =:
+x*e + In[(2x + y)²]
2xy
• Determine the total differential (dg), and total derivative with respect to x
g = f(x, y, z) = In(xyz) + e3* + ezy +e*
6.
where x = z/3 and y = 5
Find the total differential and total derivative. For the total derivative it is with respect m (or dg/dm)
a. g = f(x, y) = 2y3 – xy + 2x2 ,y = 3m x = 6m + 3
7.
b. g = f(t, v) = tv, t Inm v = m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49bd7105-19b2-426b-a31d-52d770067df8%2F7f4a5914-8cd8-421a-9029-05adc4bc9c1b%2Fajnj8se_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
Find the linear approximation of F(N) = AK“N®, about N = 1
2. The cost of producing q units of good is C(q) = 0.1q? + 3q + 100 pesos. The firm can sell q units when the price is p(q) =
25 – 0.05q pesos per unit. (Hint: Marginal Cost is C'(q))
Determine the marginal cost, marginal revenue and marginal profit. (Hint: p(q) is not the revenue function).
What is the approximate change in cost and revenue when the quantity increases from 20 to 25?
a.
b.
The cost of producing q units of a good is C(q) = 50q + 500, and the firm sells q units at p(q) = 500 – 2q.
Determine the approximate change in profit when quantity sold changes from 115 to 120. How different is the actual
change and the approximate change from each other?
3.
4. Consider a three-sector economy, Y = C +1+G, where both consumption and investment are a function of income.
Consumption is defined as C = a+ bY and I = e + dY
Determine the equilibrium level of income.
What is the government multiplier? (Hint: getting the derivative of the equilibrium income wrt G)
Given that 56% of income is use on consumption, and 12% of income is used on investment. Determine the value
for the multiplier effect.
If government spending increases by 168, determine the change in equilibrium income.
а.
b.
C..
d.
* Determine the total differential of z,
5.
x - y
z = f(x, y) =:
+x*e + In[(2x + y)²]
2xy
• Determine the total differential (dg), and total derivative with respect to x
g = f(x, y, z) = In(xyz) + e3* + ezy +e*
6.
where x = z/3 and y = 5
Find the total differential and total derivative. For the total derivative it is with respect m (or dg/dm)
a. g = f(x, y) = 2y3 – xy + 2x2 ,y = 3m x = 6m + 3
7.
b. g = f(t, v) = tv, t Inm v = m
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