Answer
There is a demand for 6 pair of scissors.
Work Step by Step
The demand equation is as follows:
$p=-x^2+47$
where, p = unit price and x = demand
The price is given as 11 dollars per pair.
Therefore, the equations becomes-
$11=-x^2+47$
Step 1: Subtract 47 from both sides of the equation
$11-47=-x^2$
$-36=-x^2$
Step 2: Divide both sides by $-1$
$36=x^2$
Step 3: use the square root property:
$±\sqrt 36=x$
$x= ±6$
Since the demand cannot be negative, there is a demand for 6 pair of scissors.
