The demand function of a firm is
๐=90โ1,5๐,
Q=90โ1,5P,
where ๐
P and ๐
Q represent the price and quantity, respectively. At what price is revenue a maximum?
a.15
b.30
c.270
d.90
The revenue is at maximum when TR'(Q) = MR = 0, so:
P = 60 - 2/3Q,
MR = 60 - 4/3Q = 0,
Q = 45 units,
P = 60 - 30 = 30.
So, the correct answer is b.
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