(i) A business manager determines that t months after production begins on a new product,the number of units produced will be P thousand, where P(t) =6?2 + 5?(? + 1)2.What happens to production in the long run ?(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at adistance x meters from the rupture. Turbulence makes it difficult to directly measure thethickness of the slick at the source (where x = 0), but for x > 0, it is found thaty =0.5(x2 + 3x)x3 + x2 + 4x . Assuming the oil slick is continuously distributed, howthick would you expect it to be at the source?
(i) A business manager determines that t months after production begins on a new product,the number of units produced will be P thousand, where P(t) =6?2 + 5?(? + 1)2.What happens to production in the long run ?(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at adistance x meters from the rupture. Turbulence makes it difficult to directly measure thethickness of the slick at the source (where x = 0), but for x > 0, it is found thaty =0.5(x2 + 3x)x3 + x2 + 4x . Assuming the oil slick is continuously distributed, howthick would you expect it to be at the source?
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter17: Long-term Investment Analysis
Section: Chapter Questions
Problem 3.4CE
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Question
(i) A business manager determines that t months after production begins on a new product,
the number of units produced will be P thousand, where P(t) =
6?
2 + 5?
(? + 1)
2
.
What happens to production in the long run ?
(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a
distance x meters from the rupture. Turbulence makes it difficult to directly measure the
thickness of the slick at the source (where x = 0), but for x > 0, it is found that
y =
0.5(x
2 + 3x)
x
3 + x
2 + 4x . Assuming the oil slick is continuously distributed, how
thick would you expect it to be at the source?
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