# Science:Math Exam Resources/Courses/MATH104/December 2010/Question 03

MATH104 December 2010
Other MATH104 Exams

### Question 03

A city's supply of an herb comes from many small home businesses. The supply q of the herb is a function of the street price p. The Elasticity of Supply is by definition equal to

$-{\frac {p}{q}}{\frac {{\textrm {d}}q}{{\textrm {d}}p}}.$ Suppose that a city's weekly supply q of the herb, in millions of grams, is related to the street price, p, in dollars per gram, by the equation

$\displaystyle {}p^{3}+p=2q^{3}+q^{2}+10.$ Calculate the elasticity of supply when p=3. Please simplify. Note that when p=3, we have q=2.

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