Question

question
mary sells bottles of lemonade. the demand function for her lemonade is given by
d(q)=100 - 1.5q,
and the supply function is
s(q)=0.75q,
where (q) is the quantity of bottles produced. what is the value of the supply function at the equilibrium point? give your answer to the nearest integer.
provide your answer below:

Explanation:

Step1: Set demand equal to supply

$100 - 1.5q=0.75q$

Step2: Solve for q

$100 = 0.75q+1.5q$
$100 = 2.25q$
$q=\frac{100}{2.25}=\frac{400}{9}\approx44.44$

Step3: Find supply at equilibrium

$S(q) = 0.75q$, substitute $q=\frac{400}{9}$
$S(\frac{400}{9})=0.75\times\frac{400}{9}=\frac{300}{9}\approx33$

Answer:

33