A manufacturer has found that the daily demand for a certain item is $\frac { 300 } { p }$, where $p$ is the price of the item in dollars. The daily supply is $6 \mathrm { p } - 3$. At what price does supply equal demand? Round your answer to the nearest cent.
A) $17.15
B) $7.33
C) $87.91
D) $6.54

Question

Quizplus · Accepted Answer

To find the price where supply equals demand, set the demand equation equal to the supply equation: $\frac{300}{p} = 6p - 3$. Solving this equation for $p$ gives the price at which supply equals demand. After solving, $p \approx 7.33$, which rounds to $7.33.

A Manufacturer Has Found That the Daily Demand for a Certain