Question

question
the demand function for ice creams is given by
d(q)=25 - 3q,
and the supply function is
s(q)=2q,
where (q) is the number of ice creams in supply, in thousands. what is the value of (d(q)) at equilibrium? give your answer as an integer.
provide your answer below:

Explanation:

Step1: Set demand equal to supply

$D(q)=S(q)$
$25 - 3q=2q$

Step2: Solve for q

$25=2q + 3q$
$25 = 5q$
$q=\frac{25}{5}=5$

Step3: Find D(q) at equilibrium

Substitute $q = 5$ into $D(q)$
$D(5)=25-3\times5$
$D(5)=25 - 15$
$D(5)=10$

Answer:

10