Answer:
(275,122)
When the price will be $275, the quantity will be 122 televisions.
Step-by-step explanation:
We have been given that a group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250.
As the quantity of televisions depends on price of televisions, so our demand curve will pass through points (300,104) and (250,144).
Let us find slope of demand line using slope formula.
, where,
,
,
Upon substituting coordinates of our given points in slope formula we will get,
Let us substitute coordinates of point (250,144) in slope intercept form of equation ().
Upon substituting and we will get equation of our demand line as:
Similarly we will find the equation of supply line using points (225,88) and (315,168).
Let us substitute and coordinates of point (225,88) in slope intercept form of equation ().
Upon substituting and we will get equation of our supply line as:
Let us equate both lines to find the point where both lines intersect.
Let us have a common denominator.
Let us substitute x=275 in any of our equation to solve for y.
Therefore, the equilibrium point for the market will be (275,122).