(1) If the total cost of a firm is C(x) =1.5x-5x +20x +5. Find the marginal cost (in dollars) when 25 units are produced and sold.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem Set B
(1) If the total cost of a firm is C(x) =1.5x -5x + 20x +5. Find the marginal cost (in dollars)
when 25 units are produced and sold.
(2) The number q of roller blades a firm is willing to sell per week at a price of $p is given by
q = 60 p+25 + 300 for 20sps100.
dq
(i) Find
dp
(ii) Find the amount supplied when the price is $56.
(ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.
(3)
(i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S
meters thick at a distance x meters from the break. It difficult to measure the thickness of the
slick directly at the source owing to excess turbulence, but for x>0 they know that
-+-x
2 3
x'+x +2x
S(x) =
If the oil slick is assumed to be continuously distributed, how thick is expected to be at the
source?
") If f(x) = 4x+7
4x²-1
throughout its domain?
determine whether the function f(x) is continuous
2<xs4'
Transcribed Image Text:Problem Set B (1) If the total cost of a firm is C(x) =1.5x -5x + 20x +5. Find the marginal cost (in dollars) when 25 units are produced and sold. (2) The number q of roller blades a firm is willing to sell per week at a price of $p is given by q = 60 p+25 + 300 for 20sps100. dq (i) Find dp (ii) Find the amount supplied when the price is $56. (ii) Find the instantaneous rate of change of supply with respect to price when the price is $56. (3) (i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S meters thick at a distance x meters from the break. It difficult to measure the thickness of the slick directly at the source owing to excess turbulence, but for x>0 they know that -+-x 2 3 x'+x +2x S(x) = If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? ") If f(x) = 4x+7 4x²-1 throughout its domain? determine whether the function f(x) is continuous 2<xs4'
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