Price is set in a market by a dominant firm price leader (L = Leader).  Total Market Demand is P = 10,000-5*QT. QT= 2,000 - .20*P. The dominant firm’s total cost is TCL= 50*QL + 1.5*QL2. The dominant firm’s Quantity Demanded is QL= QT – QF.  The competitive fringe supply is SF= PL = 50 + 2QF; QF =-25 + .5*P What is the dominant firm’s profit maximizing output ? What the dominant firm’s profit is?

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Price is set in a market by a dominant firm price leader (L = Leader). 
Total Market Demand is
P = 10,000-5*QT.
QT= 2,000 - .20*P.
The dominant firm’s total cost is
TCL= 50*QL + 1.5*QL2.
The dominant firm’s Quantity Demanded is
QL= QT – QF
The competitive fringe supply is
SF= PL = 50 + 2QF;
QF =-25 + .5*P

What is the dominant firm’s profit maximizing output ?

What the dominant firm’s profit is?

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