Answer:
As given
X1+X2=300
X1>0
X2>0
Nash product =(X1-20)^(1/3)*(X2-10)^(2/3)
Nash product = (X1-20)^(1/3)*(300-X1-10)^(2/3)
Nash Product=(X1-20)^(1/3)*(290-X1)^(2/3)
For Bargaining solution d(Nash product)/dX1=0
(1/3)*{(290-X1)/(X1-20)}^(2/3)-(2/3)*{(X1-20)/(290-X1)}^(1/3)=0
290-X1=2*(X1-20)
X1=$110
X2=300-110=$190
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