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In a Cournot duopoly, we find that Firm 1's reaction function is Q1 = 50 - 0.5Q2, and Firm 2's reaction function is Q2 = 75 - 0.
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Answer:
25 cent/donuts
Explanation:
Demand function have these two points (275, 0), (175, 25)
Demand function equation:
y - 25 = (x-175)
-100y + 2500 = (x - 175)
-4y + 100 = x - 175
x + 4y = 100 + 175
x + 4y = 275....................equ 1
Similarly Supply function have these point (150,0), (200, 50)
Supply function equation:
y - 50 = (x- 200)
50y - 2500 = x - 200
y - 50 = x - 200
x - y = 200 - 150
x - y = 150
By equation 1 & 2
x + 4y = 275
x - y = 150 ==> x = 150+y
So from equ 1 => x + 4y = 275
=> 150+y+4y = 275
=> 150+5y = 275
=> 5y = 275 - 150
=> 5y = 125
=> y = 25
So, the price that the students should charge per donut so that there is neither a surplus nor a shortage of donuts is 25 cent/donuts