NEED SOLUTION!!

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xyz
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NEED SOLUTION!!

xyz
kk
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Re: NEED SOLUTION!!

kk
it is like a generalisation to cournot duopoly model..with n firms.You can take the case of 2 firms..with homogeneous cost function (as given in this question)

let there be 2 firms.market demand ; p=a-bq and each faces a cost function c=cq
solving for profit maximisation of both the firms we get
 q1=q2=(a-c)/b(n+1) that is q1=q2=(a-c)/2b ( as here n=2)
so if there are 4 firms and cost function is homogeneous then q1=q2=q3=q4 = (a-c)/(n+1)b
that is q1=q2=q2=q4= (100-40)/5= 12  (as a=100 c=MC=40 and b=1)
total output =q= 4*12= 48
price=100-48=52
kk
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Re: NEED SOLUTION!!

kk
profits will be the same for all 4 firms as cost function is same for all.
p=52 and cost 40q
profit = 52*12-40*12= 144
xyz
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Re: NEED SOLUTION!!

xyz
Thankyou so much kk.