Q4 (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) =6t2 + 5t (t + 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(x2 + 3x) /x3 + x2 + 4x.Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?
Q4 (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) =6t2 + 5t (t + 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(x2 + 3x) /x3 + x2 + 4x.Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Q4
(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) =
6t2 + 5t (t + 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(x2 + 3x) /x3 + x2 + 4x
.Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?
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