A firm’s demand for a new gadget is modeled by D(p)= 10 p-0.5

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A firm’s demand for a new gadget is modeled by D(p)=10p−0.5,p>0.5,D(p)=\frac{10}{p-0.5}, \qquad p>0.5, where pp is the price in dollars. Determine the price at which demand becomes unbounded and evaluate the corresponding limit of D(p)D(p) as pp approaches that price.

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