1. Diketahui
Q = 400 – 4P
MC = Rp. 20,-
v/Unit = Rp. 20,-
a. Jawaban A
Q = 400 – 4P
4P = 400 – Q
P = 100 – 0,25Q
TR = PxQ
TR = (100 – 0,25Q)xQ
TR = 100Q – 0,25Q2
MR = TR/Q
MR = 100 – 0,5Q
Πmax → MR = MC
100 – 0,5Q = 20
0,5Q = 100 – 20
0,5Q = 80
Q = 160 Unit
Masukkan ke persamaan
Q = 400 – 4P
160 = 400 – 4P
4P = 400 – 160
4P = 240
P = 60
Maka πmax = TR – TC
(P.Q) – (v.Q)
(60x160) – (20x160)
Πmax = 9600 – 3200 = Rp. 6400
b. Jawaban B
TR max → MR = 0 ( Syarat )
MR = 0
100 – 0,5Q = 0
0,5Q = 100
Q = 100/0,5 = 200 Unit
TR = P.Q
= (100 – 0,25Q).Q
= (100 – 0,25(200)).200
= (100 – 50).200
TR = Rp. 1000000
Q = 400 – 4P
200 = 400 – 4P
4P = 400 – 200
4P = 200
P = 200/4, P = Rp. 50,-
Maka πmax = TR – TC
(P.Q) – (v.Q)
(50x200) – (20x200)
Πmax = 10000 – 4000 = Rp. 6000,-
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