If the total revenue function is given by
R=2x2+4x+3 then the marginal revenue
when x=2 is
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Answered by
1
Answer:
R=2x
3
−63x
2
+648x+300
dx
dR
=6x
2
−126x+648
dx
dR
=0
6x
2
−126x+648=0
x
2
−21x+108=0
x=
2
21±
144−432
x=
2
21±3
=12,9
x<9, dR/dx>0, R(x) is increasing
9<x<12, dR/dx<0; R(x) is decreasing
x>12, dR/dx>0, R(x) is increasing
∴ At x=9 the total revenue function is maximum.
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