# Science:Math Exam Resources/Courses/MATH104/December 2012/Question 04 (a)

MATH104 December 2012
Other MATH104 Exams

### Question 04 (a)

The demand equation for a certain product is

${\displaystyle \displaystyle {}q^{2}+p^{3/2}+2p=20}$

where q is the number of units per hour the manufacturer can sell at a price of p dollars per unit.

Calculate q and ${\displaystyle {\frac {{\textrm {d}}q}{{\textrm {d}}p}}}$ when the price is set at \$4.

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