Prof. S. Brick Math 120
Summer ’03 Applied Calculus; Quiz 9 section 21
0. Print your name:
1. Suppose demand is given by q= 500 −10p2. Is demand elastic at p= $1 ? What about
at p= $7 ?
2. Suppose the ecosystem of an island has carrying capacity of 500 rabbits. If 200 rabbits
are introduced, sketch a possible logistic model for the population as a function of time.
On a separate graph, show what a logistic predicts if instead 900 rabbits are introduced.
3. Suppose the surge function y= 30te−2tmodels the concentration (in mg/l) of the drug
mathsmartatol. Suppose the drug is effective provided the concentration is at least 3 mg/l.
Sketch the graph of concentration as a function of time and indicate approximately the
region where the drug is effective.